How To Calculate The Sample Size Given The Confidence Level & Margin of Error

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  • čas přidán 8. 09. 2024
  • This statistics video tutorial explains how to calculate the sample size given the confidence level and margin of error.
    Introduction to Statistics: • Introduction to Statis...
    Introduction to Probability:
    • Introduction to Probab...
    Central Limit Theorem:
    • Central Limit Theorem ...
    Standard Error of The Mean:
    • Standard Error of the ...
    _____________________________________
    Confidence Intervals & Margin of Error:
    • How To Find The Z Scor...
    Find The Z-Score Given Confidence Interval:
    • How To Find The Z Scor...
    How To Calculate The Sample Size:
    • How To Calculate The S...
    Student's T-Distribution:
    • Student's T Distributi...
    Confidence Interval-Population Proportion:
    • Finding The Confidence...
    Chebyshev's Theorem:
    • Chebyshev's Theorem
    _____________________________________
    Hypothesis Testing - Null & Alternative:
    • Hypothesis Testing - N...
    Type I and Type II Errors:
    • How To Identify Type I...
    One Tailed and Two Tailed Tests:
    • One Tailed and Two Tai...
    Test Static For Means & Pop Proportions:
    • Test Statistic For Mea...
    Hypothesis Testing Problems:
    • Hypothesis Testing Pro...
    ____________________________________
    Final Exams and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 91

  • @TheOrganicChemistryTutor

    Next Video: czcams.com/video/MUD390jtgQs/video.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @hassanqurow
    @hassanqurow Před 4 lety +13

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    You're the Hidden Lecturer of our class
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  • @twizzler2235
    @twizzler2235 Před 3 lety +30

    this came in clutch.... just before the exam too, definitely gave it a thumbs up. keep up the hard work bro, people like me highly appreciate it!

    • @lattekatt326
      @lattekatt326 Před 9 měsíci

      Ong bro my test in 2 hours but im doing the crazy last minute grind

  • @angelareddix5250
    @angelareddix5250 Před 2 lety +15

    Thank you posting this! I looked through so many videos to try to solve my statistics program and you broke it down so well and so efficiently!

  • @Spectrojamz
    @Spectrojamz Před 4 lety +22

    The Greatest tutor Ever!!!

  • @halibut1249
    @halibut1249 Před 4 lety +15

    May I make a suggestion?? When you print out the problem to be solved at the top of the screen, could you use a larger typeface?? I watch these vids on a cell phone and sometimes the small print is hard to read. Thanks, and really enjoy your vids and problem solving simple explanations.

  • @treemanfan7718
    @treemanfan7718 Před 4 lety +4

    Could you make a rated video with more advanced problems for the sat !?!? Thank you so much. This topic on this video is also on the sat

  • @dengsamuel4557
    @dengsamuel4557 Před 2 lety +2

    This man doing god’s work👊

  • @scottw7472
    @scottw7472 Před 4 lety +11

    For the second problem is there a way to solve for p-hat without using trial and error?

  • @thanyaniinnocent940
    @thanyaniinnocent940 Před 4 lety +1

    I'm an Electrical Engineer but I'm stuck in this vedio because wow. This guy is a real genius tutor of everything

  • @fabulousangella
    @fabulousangella Před 2 lety +1

    Thank you for post this video. You made it very easy to follow and understand.

  • @inspirereality1
    @inspirereality1 Před 2 lety +1

    this man makes me feel so much smarter when bfr i tot i was the dumbest in class

  • @laurenmarie9303
    @laurenmarie9303 Před 2 lety +6

    im still so confused. I used .5 for my proportion and it didnt work. Why is .5 proportion the max here???? please explain more thoroughly, I really dont understand.

    • @_jaded
      @_jaded Před rokem

      Nah fr maybe I skipped too much but that max sample size of .5 makes no sense

    • @ramtea4639
      @ramtea4639 Před 4 měsíci

      Maybe it has 50-50 chances of being a failure or the exact opposite.
      Maybe, the main reason is to minimise the error, both the type
      I think

  • @syrax6326
    @syrax6326 Před 10 měsíci

    You save me, I have report tomorrow. Thanks a lot!!!

  • @remelezagrafe3442
    @remelezagrafe3442 Před 3 lety

    Thannnkkk youuu🥰.. I finally understand my modules in statisticss

  • @RufaMaeBactismo-qj7rw
    @RufaMaeBactismo-qj7rw Před rokem +1

    Is there's a limitation or rules or pattern in choosing the value of p hat?

  • @thagoonlprusiriyodlpru4174
    @thagoonlprusiriyodlpru4174 Před 4 lety +40

    Why did you choose 0.5 ?

    • @malloryfrangipane4394
      @malloryfrangipane4394 Před 3 lety +32

      its the proportion. if you are unsure of the proportion, it is suggested to use 50% or 0.5 to maximize the study you are conducting.

    • @_jaded
      @_jaded Před rokem +2

      @@malloryfrangipane4394 scrolled way too far to find this answer

    • @Iginore
      @Iginore Před 4 měsíci

      Because it is the highest

  • @MegaMario0007
    @MegaMario0007 Před 3 lety +5

    And why is the sample size the maximum? What would be the minimum sample size then.

    • @JackyVSO
      @JackyVSO Před měsícem

      The minimum sample size would technically be 0. That's how many people we'd need to ask if the probability of a yes/no answer is 100/0 or 0/100. But since we can't know this probability in advance, this is not much use. The maximum sample size means we hedge our bets and make sure we can make the prediction no matter what the probability of yes/no is.

  • @reamabdulsalam524
    @reamabdulsalam524 Před rokem +1

    Hi can you please show us how to calculate the confidence interval if we have two variables X and Y or two companies we need to get the difference between the proportion of them thanks hope you upload this video soon I have exam and I don’t like satistics I can understand it only from you thanks

  • @TessJablonowskii
    @TessJablonowskii Před 3 měsíci +1

    If only you were my professor

  • @mercychavula7139
    @mercychavula7139 Před 6 měsíci

    God bless you Sir.

  • @ikejohnshimbilinga5177

    Nah bro you're the GOAT

  • @mompsvybrathor1961
    @mompsvybrathor1961 Před 3 lety +1

    This is EXACTLY what I needed!!! Thank you so much :))

  • @bencantotimoteus9018
    @bencantotimoteus9018 Před rokem +3

    can you explain in 6:25-6:30 why did you still round up to 385 even though your decimal is .16?

    • @JackyVSO
      @JackyVSO Před měsícem

      Because the question is what is the maximum sample size which means what is the lowest sample size that makes it certain that we can determine the proportion with the given confidence and margin of error even if the standard deviation is as high as it can be (if the probability of yes/no answers turns out to be 50/50). Since this value turns out to be 384.16, this means that 384 people will barely not be enough if the probability is 50/50 so we need to survey 385 to be sure.

  • @pkmath12345
    @pkmath12345 Před 4 lety +2

    Gosh I am making business stat video series now! This video is a lot in the context of mine!

  • @dimitriysevryukov1629

    Thank you very much !

  • @vardaankaushal8560
    @vardaankaushal8560 Před 7 měsíci +1

    Thanks a lot, it really helped

  • @melissaouali976
    @melissaouali976 Před 4 měsíci

    thank you so much!!

  • @11almondkatherinevillegas56

    how do you select the value of p-hat?

  • @salsabillashafaadzra8109
    @salsabillashafaadzra8109 Před 3 lety +2

    Hi sir, can we use margin error / confidence interval 7% and is there any journal that refers it? Thank you

  • @dimmatutorials
    @dimmatutorials Před 4 lety +1

    Very well explained
    #dimmatutorials

  • @aaravvarma1143
    @aaravvarma1143 Před rokem +1

    What about for the minimum size?

  • @interstellaramar2330
    @interstellaramar2330 Před 3 lety

    Thank you so much

  • @arvinflores5316
    @arvinflores5316 Před 3 lety +7

    where did you get the P hat formula, i didnt see that in the past video

    • @ikromlionnick2169
      @ikromlionnick2169 Před 3 lety +2

      I didn't understand that formula too

    • @Nice.SHIGOTO
      @Nice.SHIGOTO Před 7 měsíci +1

      p*(1-p) is the formula for the variance of the bernoulli distribution. but idk why he used this here 😢

  • @kuziji2k949
    @kuziji2k949 Před 2 lety

    YES THANK U SO MUCH

  • @veninanaigulevu8379
    @veninanaigulevu8379 Před 5 měsíci

    That was awsome, ty

  • @harveydyer8119
    @harveydyer8119 Před 2 lety

    thanks mate

  • @seemanaeem8787
    @seemanaeem8787 Před rokem

    OMG thank you

  • @rexj.bericojr.7364
    @rexj.bericojr.7364 Před 2 lety

    Sir, what is the use of sample mean (84) in the first problem in computing the sample size?

  • @safwaankhan_
    @safwaankhan_ Před 3 lety +2

    u saved my friends ass by helping me

  • @ninti180
    @ninti180 Před 4 lety +5

    This is the first time I've ever been this early 😂

  • @levisheffey9936
    @levisheffey9936 Před 2 lety

    awesome.

  • @veerakanneboina8086
    @veerakanneboina8086 Před 5 měsíci

    If i was given with sample standard deviation, which test should i have to use t or z

  • @nicholasjarka6124
    @nicholasjarka6124 Před 2 měsíci

    What is the name for the formula used to calculate the minimum sample size

  • @daoyan3685
    @daoyan3685 Před rokem

    what if the sample size must be equal to 20 but the calculated sample sizes are 9.5 and 11 is it round up or down

  • @MegaMario0007
    @MegaMario0007 Před 3 lety +1

    In the first example you use an absolute error, while in the second example a relative error, in the same formula. This seems contradictory. An error of 5.3 on 84 is 6%

  • @btsmochimi7924
    @btsmochimi7924 Před rokem +1

    why did you use the sample mean when it said "all students"? Isn't it suppose to be the population mean?

  • @a.s9509
    @a.s9509 Před rokem

    usually when we round numbers, given that the number after the decimal point is 5 or higher, then we round the number up. Otherwise, we would round the number down. So, I am confused why you round up the number. Does the assumption of having maximum numbers for n negate this rule?

    • @cesarsar7323
      @cesarsar7323 Před rokem +2

      For sample size you ALWAYS round UP! If he rounded down to 30, you wouldn't meet the needed sample size. So going up gives you the needed value! 153.26 would be 154. Remember: round up for sample size

  • @markalvin8972
    @markalvin8972 Před 11 měsíci

    the formular for n doesnt make sense to me, if mean =np and sd= square root of npq.

  • @scy3321
    @scy3321 Před rokem +1

    if there are no confidence level and only asking for number of samples how can i solve that

  • @BeanSprout-14
    @BeanSprout-14 Před 3 lety

    In 6:29 why does it rounded off to 385 instead of 384? Please answer asap need this for my exam tom

    • @williamescobar4254
      @williamescobar4254 Před 2 lety +1

      Totally late to respond and answer your question since its been at least a year, but he rounded up because you can't have 384.16 students. It has to be 385.

  • @Alma333
    @Alma333 Před 2 lety

    where did the 5.367 come from?

  • @tanjonzou9840
    @tanjonzou9840 Před rokem +3

    i like the way you teach, but you went too fast on this one

  • @spctroy2002
    @spctroy2002 Před 11 měsíci

    how did you get the values of z=1.96?

    • @issucn9504
      @issucn9504 Před 8 měsíci +1

      hi! i think this video can explain why the z value is 1.96 czcams.com/video/sJyZ9vRhP7o/video.htmlsi=coNRTuPmaFTo9wKb

  • @aizamaeagustin9417
    @aizamaeagustin9417 Před 3 lety +1

    What if the question is
    Highest 13.8 while lowest is 13.4
    Margin of error of 0.025 and confidence level 99%. Find the sample size n that he needs.
    Please calculate this. I really need.
    Thank you.

  • @zikkirito
    @zikkirito Před 3 měsíci

    O Great sage 😂

  • @leyla5336
    @leyla5336 Před 4 měsíci

    i love you oh my god

  • @aidan8710
    @aidan8710 Před 9 měsíci

    I love you

  • @lionelalan3621
    @lionelalan3621 Před rokem

    what if the margin of error is not given?

  • @maricarmencavazos4375
    @maricarmencavazos4375 Před 3 lety +1

    is confidence interval the same as confidence level

  • @wottatoparrior9500
    @wottatoparrior9500 Před 2 lety

    GaMASS!!

  • @Anything-pt6qk
    @Anything-pt6qk Před 3 lety

    I have a problem can you solve ?

    • @Anything-pt6qk
      @Anything-pt6qk Před 3 lety

      The University have a total of 387 athletes participating in different
      sports. If 185 of them take sport and wellness course, 32 take education
      courses, 68 take marketing and management, 52 take computer studies
      while the remaining 50 take accountancy, find the number of samples from
      each category given that 75 athletes are to be chosen as sample.

    • @Anything-pt6qk
      @Anything-pt6qk Před 3 lety +1

      I hope you reply....

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    @tygrenvoltaris4782 Před 2 lety +2

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