Calculate the Margin of Error and 95% Confidence Interval (Statistics #4)

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  • čas přidán 10. 04. 2020
  • An online poll asked a sample of 850 adult Americans whether they watched and World Cup soccer games. 62% of respondents said they did watch some of the World Cup games. What is the Margin of Error for this poll, rounded to the nearest tenth of a percent? What is the 95% confidence interval for the percent of all adult Americans who watched the World Cup?

Komentáře • 42

  • @isaacdynys6518
    @isaacdynys6518 Před 2 lety +5

    I am going to single handedly create some software that will allow me to infinitely like youtube videos. This video is first on my hit list

  • @lcyackrm1887
    @lcyackrm1887 Před 2 lety +1

    I'm so thankful for this video T^T. This video just saved my struggling brain.

  • @journytojapan6115
    @journytojapan6115 Před 2 měsíci +1

    Very useful. Thank you for the quick lesson.

  • @user-hr2il5is2f
    @user-hr2il5is2f Před 7 měsíci +9

    Why the numerator is 100? It should be √(0.62x(1 - 0.62))

  • @mcbrock71
    @mcbrock71 Před rokem +22

    Why do you assume this gives you a 95% confidence interval? It is not clear in the explanation.

  • @coconutheadass448
    @coconutheadass448 Před rokem +4

    Great video that is to the point and you speak so clearly. Keep up the good work!

  • @samuellortscher3158
    @samuellortscher3158 Před rokem +1

    Hi many thanks for the video.
    I have got one (likely) stupid question though: Lets assume that the poll revealed that only 1% of the respondents said that they did watch some of the World Cup games.
    If I now subtract 3.4% you end up with a negative probability which does not make sense. You could argue that you could clamp the lower boundary to 0% resulting in a range from 0% to 4.4%. But that also results in two problems as far as I am concerned. First of all, the "error band" just go smaller (and thus also the margin of error), and second, we just proved that some Persons did watch some of the World Cup games (as a part of that tiny minority happend to be in the very sample that was polled). So an MOE of 0 - 4.4% cannot make sense either! How do you deal with that situation?

  • @ap3017
    @ap3017 Před 2 lety +1

    Gud n easy way ...thanks buddy :)

  • @loveygerse7402
    @loveygerse7402 Před 3 lety +18

    I understand the concept of this lesson, but for the ME, could you please explain to me a step by step on how to divide the standard deviation by the square rooted sample size :).

  • @francesco4433
    @francesco4433 Před 9 měsíci

    thank you Mr

  • @sullivannix4509
    @sullivannix4509 Před rokem

    Thank you

  • @zsnowboardern9332
    @zsnowboardern9332 Před rokem

    what should the numerator be if i want 90% confidence level? i am not as confident as you.

  • @chainsofolympus6851
    @chainsofolympus6851 Před 6 měsíci

    Dope!!!!💯

  • @johnchristianbatac
    @johnchristianbatac Před 7 měsíci +3

    Why do we use 100 as the numerator

  • @oliviarogers9617
    @oliviarogers9617 Před rokem

    so the sample size is 3.4?

  • @Tonytheartist
    @Tonytheartist Před 3 lety +2

    You are math hero thank you much

  • @ap3017
    @ap3017 Před 2 lety +23

    Confidence level 95 ??? How

  • @kjsmama10
    @kjsmama10 Před 2 lety +3

    Thank you for this video, but I was still a little like “what?” I agree with comment below step by step and maybe a tad bit slower for some of us who do not understand math aka me lol. Thank you!!

    • @mathproblemssolvedcraigfau775
      @mathproblemssolvedcraigfau775  Před 2 lety +3

      Hi Catherine! Try out this video -- it's the lecture for this section of the class and has a lot more explanation and examples czcams.com/video/i_EKW95dGe8/video.html
      I always tell my students to be ready to hit pause -- these do go pretty fast!
      I hope it helps!
      Criag

  • @fruitpunch-mouth
    @fruitpunch-mouth Před 2 měsíci

    this video saved me in college, because he at least told me i can use a calculator. =_= and what numbers to plug into it.

  • @zurhaidashari3617
    @zurhaidashari3617 Před 2 lety

    How gets 62%?

  • @yuhdlwrm
    @yuhdlwrm Před rokem +6

    how'd you get the 95%?

    • @anwuliobi-ossai6468
      @anwuliobi-ossai6468 Před 5 měsíci

      its just standard practice, we always assume 95% confidence unless told otherwise

    • @yuhdlwrm
      @yuhdlwrm Před 4 měsíci +1

      @@anwuliobi-ossai6468Finally, after ten months, someone responded. But unfortunately (or fortunately) I'm done with this statistics subject and sht. Thanks, anyway.

  • @silvrbeach
    @silvrbeach Před 2 lety +1

    i have a question 🙋‍♀️ in a data collection, there were 300 registered students in a university. the question asks to calculate the respondents that the survey require (with 99% confidence level and 4% margin of error). how do i solve this question?

    • @mathproblemssolvedcraigfau775
      @mathproblemssolvedcraigfau775  Před 2 lety +2

      Ahh, so this video is just an approximation of a 95% confidence interval for a liberal arts math class, not a stats class. Unfortunately, to find a 99% confidence interval, you'd need to use slightly more complicated formulas from your statistics book. Sorry, I don't have a stats book on hand at the moment.

    • @silvrbeach
      @silvrbeach Před 2 lety +1

      @@mathproblemssolvedcraigfau775 i see. no worries, thank you for replying nonetheless 😊

  • @pepo4559
    @pepo4559 Před rokem +1

    Where does the 95% come from?

    • @christopherk7920
      @christopherk7920 Před rokem

      from what i gathered, 95% is the industry standard but may raise to 99% if it involves studies in areas like medical healthcare.

    • @zsnowboardern9332
      @zsnowboardern9332 Před rokem

      looks like misinformation and why is 100 the numerator.

  • @013_ryanezra6
    @013_ryanezra6 Před 7 měsíci

    jauh lebih mudah dipahami dibandingkan penjelasan yutup orang indo

  • @jdrramos
    @jdrramos Před 3 lety +1

    How come 3.4?%

    • @mathproblemssolvedcraigfau775
      @mathproblemssolvedcraigfau775  Před 3 lety +1

      Hi there! Because 100/sqrt(850) equals 3.4

    • @jdrramos
      @jdrramos Před 3 lety

      @@mathproblemssolvedcraigfau775 and how become 95% ? 62%+65.4%?

    • @mathproblemssolvedcraigfau775
      @mathproblemssolvedcraigfau775  Před 3 lety +1

      @@jdrramos Hi Joyce! Actually this problem is specific to what we call a 95% confidence interval. We call it a 95% confidence interval because we can be 95% sure that the actual proportion will fall within this interval.

    • @jdrramos
      @jdrramos Před 3 lety

      @@mathproblemssolvedcraigfau775 thank you 😍

    • @khanhoque2066
      @khanhoque2066 Před rokem +1

      @@mathproblemssolvedcraigfau775 how can you get 100

  • @camwon
    @camwon Před rokem

    chur