Null and Alternate Hypothesis - Statistical Hypothesis Testing - Statistics Course

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  • čas přidán 22. 08. 2024
  • Get the full course at: www.MathTutorDV...
    The student will learn how to write the null and alternate hypothesis as part of a hypothesis test in statistics. We will work several examples so that the student gains an understanding of how to work hypothesis testing problems step-by-step..

Komentáře • 863

  • @unnikrishnanadoor
    @unnikrishnanadoor Před 9 lety +1512

    You are the kind of teacher who make students interest in the subject. You are a great teacher.

  • @steveb7110
    @steveb7110 Před 9 lety +450

    i learned more in this video than the last month of my stat class. Easily understandable

  • @janviergalle
    @janviergalle Před 9 lety +208

    After watching a couple of video in statistics posted by you mister, I wouldn't hesitate to say that my level of confidence in you is 99.99999%. The reason I say this is throughout my years in college almost four decades ago, plus watching tons of video posted by others about statistics and other subjects I just absolutely can't find anyone who can explain a subject so clearly as you do. I wish each and every teacher/professor out there could do like you do so millions of students wouldn't have any severe headache. Sometimes I asked myself the question is it true most college professors really want to teach you the best ways or they just "sometimes" just want to make it complicated to give students hard time? I doubt it.
    About Null and Alternate Hypothesis, nobody explains this subject so easy to understand as you do, including books and other video on CZcams. I've been puzzled by this subject until I watch it today. Thanks God !! God bless you.

    • @dankadybong7948
      @dankadybong7948 Před 6 lety +3

      janviergalle .
      no.. the professors just want to get paid like hookers while they hate their job but like the money.
      if they really wanted their students to learn they would find these videos and play them in class. but then why would they get paid so much, or be hired at all.
      .
      nowadays learning should be watching videos and doing exercises then tests, all on mobile unless otherwise needed. it could make schools and universities almost free.
      i dont know if its possible to only take the tests and self study but thats the way to go. u get a better teacher when u take the worlds best on utube than the teacher who hates his job and sux on purpose.

    • @asukayamazaki5412
      @asukayamazaki5412 Před 2 lety

      @@dankadybong7948 so true

  • @serenebmore
    @serenebmore Před 8 lety +316

    This guy used to work for NASA. I bought his stat course and it helped a lot

    • @serenebmore
      @serenebmore Před 7 lety +36

      how

    • @AmoralPhat40oz
      @AmoralPhat40oz Před 7 lety +13

      LOL

    • @fawfuls
      @fawfuls Před 6 lety +5

      Oh

    • @edenbirku5552
      @edenbirku5552 Před 4 lety +1

      What's his Stat course?

    • @serenebmore
      @serenebmore Před 4 lety +6

      Eden Birku got to mathtutordvd.com
      He has all his videos that you can purchases or be a member for $19 (I don't remember) .. I prefer the memebership because u gain access to all the videos

  • @okekeezecharles8859
    @okekeezecharles8859 Před 9 měsíci +31

    Lol after 9years I'm here learning now

  • @bellabear9282
    @bellabear9282 Před 7 lety +55

    I've been struggling with stats this entire semester (even with tutoring, and countless hours online and in the library) and this is really the first time I have found a clear and understandable way to learn the concepts THANK YOU SO MUCH!!!!! I will be using every video to assist me in my preparation for my upcoming exam and final this semester. WISH I WOULD HAVE FOUND THESE VIDEOS EARLIER!

  • @BalenMuhammed
    @BalenMuhammed Před rokem +51

    The lecture is %99.99 effective and practical. Unless otherwise proven. You are amazing, and thanks a lot!

  • @ramu992
    @ramu992 Před 4 lety +66

    As Enistein once said, "if u can't explain it simply, that means u don't understand it so well".. After watching this i am able to tell my friends about this concept in a simple way.

  • @jenniferzuniga4092
    @jenniferzuniga4092 Před 4 lety +11

    Please never stop making these videos because you truly are teaching us. Honestly it’s a talent to be able to teach in a way that makes everything make sense.
    I hope I can be this good at something one day.
    On behalf of all of us in the comment section: Thank you and BLESS YOU we hope you’re doing well.

  • @streetballer8675
    @streetballer8675 Před 5 lety +14

    I learned more in 2 15 minute videos from you than 18 weeks of college level stats instruction. Thank you so much for not assuming we know things already. I only ask to put the link of the next lesson in the description of the video so I can make sure I am not skipping anything. You are awesome and your care for being thorough and easy to understand flourishes. Thank you soooo much.

  • @nm1978
    @nm1978 Před 2 lety +4

    My God, you are the best greatest teacher on earth, I don't know if there is or not anyone else that I know that teaches so clearly in detail, you should be an example to the entire world's education systems. The entire world education systems must be changed, this is how everything should be taught , instead of long boring lectures, or reading books that are so hard just to understand what they are trying to tell you, because the way books are written is very official language which I abhor, a simple concept that can take one minute to understand takes hours, because the way these evil books are written , the concepts of science, math and everything else are not hard to learn and are actually fun to learn, if it wasn't for these official languages that are used in all books, I am so sick and tired of them.
    This is how everything should be taught in all schools. Simple, fun and clear. They should learn from you, you are the best and made a big difference in my life, truly American teachers are the best too at teaching. But offcourse your ways of teaching makes it the 👌 best.

  • @kanikeraghavendra1521
    @kanikeraghavendra1521 Před 5 lety +44

    you are making maths (stats) so easy....
    I don't know how much effort you are putting on the backend....it's amazing
    Thanks for everything.
    you deserve more.
    In your words, You are melting the CONCRETE..

    • @Cheesecake99YearsAgo
      @Cheesecake99YearsAgo Před 2 lety +1

      Donate or just pay him
      It is his source of income and the only thing we could do

  • @sssl9528
    @sssl9528 Před 7 lety +612

    This is cure to my depression

  • @moulikdhar5297
    @moulikdhar5297 Před 5 lety +24

    From the bottom of my heart, I'm saying, I wish you were my college teacher. Cause you are so so good at explaining

  • @1Timoteo41
    @1Timoteo41 Před 6 lety +135

    Wow! You're so great explaining statistics. Thank you very much!

  • @esmatsahebdil7499
    @esmatsahebdil7499 Před 4 lety +1

    I don't know what was the problem of those who disliked this video. His method is the best. Going into details, pointing to minor issues and recapping what has been told. Thanks so much. I wish I could have found this channel right at the beginning of my business statistics class.

  • @megalopolis2015
    @megalopolis2015 Před 5 lety +11

    I needed this spelled out in laymen's terms. Thank you so much for making analyzing data seem possible. That is so vital to allow more of these methods to hang out in my head without something important being shoved out.

  • @utkarshfulara4546
    @utkarshfulara4546 Před 6 měsíci +1

    I must express my appreciation for the accuracy and clarity with which you've covered the subject in your lecture. Typically, I lean towards learning from textbooks rather than online resources, and I'm not usually inclined to follow CZcams educators. However, your videos are truly outstanding and have captivated my attention!

  • @thushsooriyaarachchi1861

    An absolutely great teacher with amazing delivery skills!!! I got an MSc level exam tomorrow for analytics and I am revisiting statistical basics via your tutorials. May God bless you abundantly!

  • @Daniela-gj4jt
    @Daniela-gj4jt Před 4 lety +6

    I am so thankful for teachers like you that actually enjoy teaching and students. Thank you so much. It is very appreciated by a lot of people.

  • @memrieturner2290
    @memrieturner2290 Před 3 lety +3

    I just want to say you are amazing at explaining this material. You’re the definition of what a teacher should be like! Thank you so much

  • @AmitYadav-ig8yt
    @AmitYadav-ig8yt Před 5 lety +6

    WoW! You made it very easy. I have been thinking How will i understand this. My Professor has taught me this many times. But could not understand him but You did miracle . I understand within two minutes.

  • @wh33l6r
    @wh33l6r Před 4 lety +3

    Excellent! One of the major virtues of this series, unlike so many other video stat lectures, is that you take nothing for granted as regards the viewer understanding the exact use of stat language. You are very explicit in spelling out every concept leaving no room for doubt. Well done!

  • @Kari-0503
    @Kari-0503 Před 4 lety +1

    Thank you my Statistics class has been switched to online, my teacher does online lectures but he talks to fast , makes a mess on his white board , you cant understand the man nor read his gibberish. He doesn't introduce things he's just too fast and doesn't explain well at all. So it hasn't been easy for me having to self teach myself during this Quarantine but you have made it a breeze I am understanding so much and I am getting caught up with the class I just want to say thank you and you have helped me so much.

    • @MrBot234
      @MrBot234 Před 4 lety

      here from corona

    • @remmycaste2352
      @remmycaste2352 Před 4 lety +1

      Same here! My professor has the longest lectures and breaks down things you don’t know.

  • @samir.ebrahim
    @samir.ebrahim Před 3 lety +1

    My university professor failed to explain this to me in 1 week and this dude let's me understand in 10 mins. My man

  • @bchery4048
    @bchery4048 Před 8 lety +17

    This guy makes things easy to understand. I really appreciate this video. Great teacher.

  • @sdrocks1994
    @sdrocks1994 Před 4 lety +1

    As a matter of fact you are the best teacher in statistics I have come across till date.. thanks a lot!!

  • @PariaAkhavass
    @PariaAkhavass Před 5 lety +58

    best teacher ever

    • @fma-d8j
      @fma-d8j Před 2 lety

      Parisa, Also you are the best teacher in English

  • @seanyoung6065
    @seanyoung6065 Před 8 měsíci

    I've been having troubles with hypothesis testing for weeks and just couldn't grasp onto the concept until I found your videos.Now I feel such a sense of relief.I wish their were more teachers like you teaching statistics..then maybe more students would have confidence taking the class.

  • @krystalm3528
    @krystalm3528 Před 3 měsíci

    I’ve researched so many videos to help me with my statistics class, and this is the only video that I can honestly say has helped me

  • @dharmashekhar1047
    @dharmashekhar1047 Před 2 lety

    Amazing Teacher ! For teaching statistics, you dont need a PhD , you need a clear head who can help you clear your head ! . The teacher should be able to explain the concepts clearly & precisely , in a straight forward way. If a student find it easy to grasp-understand-memorise-recall-use-apply-live the statistical concepts , the teacher has done his job brilliantly ! .
    The Best Statistics Teacher on CZcams, that I have seen so far. Do we have a Nobel Prize for Statistics Teaching ? This teacher deserves it.

  • @teresawelcome8354
    @teresawelcome8354 Před 3 lety +1

    14 minutes watching this video > 2.5 weeks in my stats course at college. THANK YOU!

  • @fishertech
    @fishertech Před 4 lety +10

    what my stats prof has taught us for 3 years i learnt in 30 seconds from this video. thanks

  • @olidb72
    @olidb72 Před 7 lety +1

    It's almost therapeutic how clearly you go over all the simple stuff, it makes it easier to keep watching :) Thanks!

  • @rodelbayon3899
    @rodelbayon3899 Před 8 lety +20

    So clear, straight to the point.. . . Thank you sir !!

  • @Asmah2807
    @Asmah2807 Před rokem +5

    Dear Sir, Your lectures are good and easy to understand. Thank you so much.

  • @nathanbab9447
    @nathanbab9447 Před 8 lety +2

    I am very DISSAPOINTED!, why we don't have many people like this Gentlemen ? thank you again!

  • @sparkybolt2085
    @sparkybolt2085 Před 4 lety

    I have heard the sign of a genius is someone who can explain complex concepts in a way anyone can understand. I'm learning more in these videos than I am in my stats class.

  • @bohemianbong2705
    @bohemianbong2705 Před 4 lety

    I am a post graduate in Mathematics and came across these topics many many times. But no one has explained it so easily and clearly more than you. Kudos to you sir.

  • @kylesonger1252
    @kylesonger1252 Před 6 lety

    2 years later you are still saving lives and stats grades... thank you for going over every step with detail

    • @MathAndScience
      @MathAndScience  Před 6 lety

      So happy you liked it!
      Get our Free App and View all Lessons!
      www.MathTutorApp.com

  • @shadrackdarku8613
    @shadrackdarku8613 Před 2 lety +1

    wow the content is superb. Youve done such a great help to me. Nearly quit my masters . thanks

  • @rev.andrewawotwe-mensah7504
    @rev.andrewawotwe-mensah7504 Před 10 měsíci

    I went through the daunting task of figuring out hypothesis testing and still struggled with it. A few minutes of watching the video has revolutionized my insights into it. Thank you, sir!

  • @nivinerahhal3557
    @nivinerahhal3557 Před rokem +1

    SUPER HELPFUL, I REALLY THANK YOU ❤and I wish that my professor can watch this video to learn how to teach in a clear, fast way. 🤩

  • @user-ko4zm2pb2p
    @user-ko4zm2pb2p Před 3 lety

    the best science teacher I ever met so far, It's my great honor to watch such a detailed explaining video.

  • @arpitkhatri6408
    @arpitkhatri6408 Před 2 měsíci

    Oh my God finally I found a great person teaching the most difficult topic as piece of cake........great teacher

  • @marcyanus1430
    @marcyanus1430 Před 3 lety

    I can't believe the quality of these lectures is so great, and that's is free on the internet. Thank you so much!

  • @kanikeraghavendra1521
    @kanikeraghavendra1521 Před 5 lety

    i can listen to your lectures on and on and on............There is no "booring" and "not understanding" terms in your class.
    How many of you accept this. Give me a like.
    Incredible teacher.

  • @bonniemineo8269
    @bonniemineo8269 Před rokem

    Just want to say thank's for the clear understanding of hypothesis. You are a great teacher.

  • @MrRatrace73
    @MrRatrace73 Před 4 lety

    Good in Statistics is one thing. Able to teach Statistics and make it easy to understand is another thing. He is good. Thank you very much.

  • @vinaysraman1
    @vinaysraman1 Před 7 lety

    I attended a lecture on hypothesis testing today. But I got more clarity after watching your video. Thanks a million

  • @jbcarney1971
    @jbcarney1971 Před 5 lety +1

    Thank you, for these videos. I am in statistics for my Master's and these videos have really helped me understand that which confused me in the book. I agree with all the comments that say you are a very effective teacher.

  • @emmanuelkyeremeh939
    @emmanuelkyeremeh939 Před 4 lety

    Im just amazed by what i witnessed today.It is just greatness.You are born to teach cos you are soo good at it.Im blessed to have found you.Thanks a lot.God bless you

  • @thangmo16
    @thangmo16 Před 7 lety +1

    I'm in biostat right now and currently confused about everything. You are such a good teacher! I understand this much better now!!!

  • @michelledelgado4145
    @michelledelgado4145 Před 4 lety +1

    Thank you so much for this clear understanding. I was giving up, so lucky I clicked on you. I will be following you. I appreciate with all my heart that you make these videos for those of us who struggle.

  • @mikesteve
    @mikesteve Před 5 lety +5

    wow you are so powerful in communicating clearly . Thank you so much

  • @maryanngarland012
    @maryanngarland012 Před 8 lety +2

    I like that you apply law to this as an example because my major is philosophy and legal studies so it helps me understand better!

  • @jpnguyen2215
    @jpnguyen2215 Před 8 lety +5

    You are a great teacher! I've watched a few of your videos, and your explanation of key concepts have helped me greatly. Thank you!

  • @masendipatrick5690
    @masendipatrick5690 Před 3 lety

    This gentleman is the best at simplifying and making you understand things all his lectures are amazing

  • @Nyambose271
    @Nyambose271 Před 7 lety +3

    great video - wish you were my everyday lecturer but i would really appreciate it if you would compile these videos as a complete series as it is very difficult to find the next video in the correct order

  • @vansweeting9739
    @vansweeting9739 Před 9 lety +17

    Thanks a million. You made it real simple to understand. Any videos on actually doing a hypothesis test?

    • @sapnanayak1453
      @sapnanayak1453 Před 4 lety

      I want an event studies series tbh, would help me with my dissertation.

    • @AbdulKaderArsiwala
      @AbdulKaderArsiwala Před 2 lety

      can you please help me with this question?
      Q1. A school conducted special classes to help students with poor verbal english. Each student was required to give a test twice, once before starting the classes (Test 1) and once again after completing 4 weeks in the class (Test 2).
      Let Y1 and Y2 be the scores in Test 1 and Test 2 respectively.
      Let Y = Y2 - Y1. Hence, if the population mean μ for Y is equal to zero, then the special classes have no effect on the average.
      It is planned to test the null hypothesis of the class having no effect, against the alternative hypothesis that there is a positive effect due to the classes.
      Student Test 1 Test 2
      Abhay 5 8
      Bhumika 3 10
      Charan 2 5
      Dinesh 4 7
      Variable Number of Students Mean Standard Deviation Standard error
      Y 4 4.000 2.000 1.000
      a. Set up the null and alternative hypothesis
      b. Are the classes beneficial to the students? Make a decision using Significance level as 0.05.
      c. State whether the following statement is true or false:
      When we make a decision using Significance level = 0.05, this means that the special classes are truly beneficial, but there is a 5% chance that the classes are not beneficial

  • @MarciaArleneDebra
    @MarciaArleneDebra Před 4 lety

    He gave a thorough explanation and chunked the topic to make it easily understandable.

  • @tinywarrior2020
    @tinywarrior2020 Před 2 lety

    You are saving my post graduate academic life right now. Thank you.

  • @etet7666
    @etet7666 Před 7 lety

    Wow! I have an MBA and working toward a Master of Science in Health Informatics and this IS the very first time Statistics make SENSE

  • @GenMillenialsclub
    @GenMillenialsclub Před 5 lety

    This is my first in college which means this is my first time taking statistics and I’m very grateful for this for this videos! Thank you Mr.

  • @b.k.1925
    @b.k.1925 Před 7 lety +2

    This guy is INCREDIBLE! Thank you for helping us all!

  • @brooke8798
    @brooke8798 Před 3 lety +1

    These videos have helped me so much for my test tomorrow!! Thank you so much!

  • @ashleycastaneda7340
    @ashleycastaneda7340 Před 4 lety +8

    thank you for this king, it genuinely helped A LOT

  • @odetojoy76
    @odetojoy76 Před 5 měsíci

    Where has this guy been my whole life? If every math teacher were like him, it would be the cure to math anxiety🤩

  • @archfordmatienga9066
    @archfordmatienga9066 Před 5 lety +1

    You are so amazing. You explain so clearly and I don't thing I'll ever have any confusion. Thank you very much.

  • @michaeldelaney376
    @michaeldelaney376 Před 8 lety +2

    Thank you for making this so easy to understand. Gifted teacher! Really appreciate you taking the time to do this.

  • @kevinkiefer5593
    @kevinkiefer5593 Před 5 lety +6

    Helping me with my grad. research statistics class... Thank you!

    • @sapnanayak1453
      @sapnanayak1453 Před 4 lety

      This is helping me with my dissertation. My professor told me I need to do stats for mine to get a higher grade than what I'm doing now lol.

  • @michaelfalade8235
    @michaelfalade8235 Před 8 lety +1

    I really liked this video, it makes things easy. I have been thought hypothesis and hypothesis several times, but not this way. Thank you.

  • @Grace-xh1cw
    @Grace-xh1cw Před 3 lety

    okay so why do i get so sleepy during my teachers lecture but over here I am interested and learning? simply amazing! thank you!

  • @henrysikanyika2357
    @henrysikanyika2357 Před 8 lety +8

    am very lucky to have found your videos.........your explanations are good n understandable....

    • @sirontoyfamorcan9176
      @sirontoyfamorcan9176 Před 6 lety +2

      Henry Sikanyika do you have a complete set of videos of this great stat teacher? I want to have a copy of all his videos on stat pls.

  • @COSMOPOLITANWORLD
    @COSMOPOLITANWORLD Před rokem

    Maths can be so interesting if you have the right teacher. Thanks for sharing this video!!

  • @TANMAN47TANMAN
    @TANMAN47TANMAN Před 7 lety

    being able to actually see you have see the question and also have you go over them instead of having one question and making all these graphs and all really makes you a better source. sorry for the run on sentence

  • @dihaofeng2605
    @dihaofeng2605 Před 8 lety

    I have been looking for an easily understandable tutorial video for so long and I am so happy right now that I don't have to do further search any more. Thank you very much.

  • @Nini35349
    @Nini35349 Před 2 lety +1

    Thank you so much sir this helps me a lot, you explained it thoroughly

  • @kararhoden6090
    @kararhoden6090 Před 8 lety +1

    THANK YOU for clearly explaining in < 15min what has taken my current professor weeks ....

    • @AbdulKaderArsiwala
      @AbdulKaderArsiwala Před 2 lety

      can you please help me with this question?
      Q1. A school conducted special classes to help students with poor verbal english. Each student was required to give a test twice, once before starting the classes (Test 1) and once again after completing 4 weeks in the class (Test 2).
      Let Y1 and Y2 be the scores in Test 1 and Test 2 respectively.
      Let Y = Y2 - Y1. Hence, if the population mean μ for Y is equal to zero, then the special classes have no effect on the average.
      It is planned to test the null hypothesis of the class having no effect, against the alternative hypothesis that there is a positive effect due to the classes.
      Student Test 1 Test 2
      Abhay 5 8
      Bhumika 3 10
      Charan 2 5
      Dinesh 4 7
      Variable Number of Students Mean Standard Deviation Standard error
      Y 4 4.000 2.000 1.000
      a. Set up the null and alternative hypothesis
      b. Are the classes beneficial to the students? Make a decision using Significance level as 0.05.
      c. State whether the following statement is true or false:
      When we make a decision using Significance level = 0.05, this means that the special classes are truly beneficial, but there is a 5% chance that the classes are not beneficial

  • @elinessmutakilamfunda1417

    God bless you so much ❤.... You explain so well and fluently ❤❤❤ Thank you so much.. I wish I could like all your videos a hundred times because you ❤ highly deserve it ❤❤

  • @helenagboire6114
    @helenagboire6114 Před 4 lety

    You explain the subject so expertly and brilliantly. Thank you very much!

  • @user-us9pr9wb5u
    @user-us9pr9wb5u Před 8 měsíci

    9 years later, this is the best teaching video I had ever seen

  • @realestjeremyhamel
    @realestjeremyhamel Před rokem

    Easily the best stats content on YT!

  • @NorthernShinigami
    @NorthernShinigami Před 4 lety

    I think you just saved my college career. Even my college teacher couldn't explain it as clearly as you did.

  • @favoureke621
    @favoureke621 Před rokem

    You sure a calm teacher. Really love to video and understood everything. Keep the good work

  • @sarajacob7387
    @sarajacob7387 Před 4 lety +3

    Amazing teacher! You make things so easy to understand ... im really greatful! Thankyou so much Sir!!

  • @user-cq7tc9nl5s
    @user-cq7tc9nl5s Před 3 lety +1

    Can't imagine these videos are free...You safe my grade

  • @shumetesam7407
    @shumetesam7407 Před 5 lety

    Oooh my all 7 weeks I understood nothing with your few min videos i got it all ur sooooo good at it so gifted thank you a lot. You saved me 😊

  • @user-br6qm7em1v
    @user-br6qm7em1v Před 4 lety

    thank you so much for making this so easy to understand. you are the best teacher for statistic.

  • @katelinpegg8615
    @katelinpegg8615 Před 4 lety

    A million thanks to you and your free lectures!

  • @AB-sl1jx
    @AB-sl1jx Před 3 lety

    I watch your stat videos like following a thriller series.I was never interested in numbers otherwise.You are an exceptional story teller!!! Thank you so much for uploading them .

  • @radhikarinice
    @radhikarinice Před 8 lety

    Excellent opening before we jump to hypothesis testing as such. Thank you for breaking the ideas into the simplest terms possible. i enjoyed.

  • @varshanayak6551
    @varshanayak6551 Před 2 lety

    Learning statistics so deeply and at the same time, so easily. Thank you for this!

  • @meyer3838
    @meyer3838 Před 8 lety +1

    This is such a great explanation, I couldn't understand which was the null and which was alternative when trying to apply it to examples (to be fair I'm also unfamiliar with the term "status quo"). But this really cleared it up, thank you! You are a great professor!

  • @adesuaayomitandonatus1316
    @adesuaayomitandonatus1316 Před 10 měsíci

    Every statistics students really needs you at their conner. You are a life safer ❤.

  • @inrvista
    @inrvista Před 5 lety

    pure talent. one of the best teachers out there on youtube

  • @asarekuffour5639
    @asarekuffour5639 Před 2 lety

    This vid has really simplified my stats studies for me. thx so much champ

  • @shirleyl6698
    @shirleyl6698 Před 4 lety

    Watching this video a day before my summer course finals and I feel so much better. Thank you so much !!

  • @khalidalzain7280
    @khalidalzain7280 Před 3 lety

    You know you have made all of us happy and this is the most perfect lecture that l have ever take in my life so l think you have alot of to tell and teatch us so l hope you have healthy life to do more and more my best wishes

  • @sudeshnabhattacharya7972
    @sudeshnabhattacharya7972 Před 3 měsíci

    Thanks for explaining in such an easy way. Half of the paid courses make these things complex unnecessarily.