The Sampling Distribution of the Sample Proportion

A discussion of the sampling distribution of the sample proportion. I discuss how the distribution of the sample proportion is related to the binomial distribution, discuss its mean and variance, and illustrate that the sample proportion is approximately normally distributed for large sample sizes.

Пікірлер: 56

  • @jameschan5595
    @jameschan55954 жыл бұрын

    The best explanation I have watched on KZread very clear and precise, well done presentation.

  • @behroykiarad
    @behroykiarad8 жыл бұрын

    You have a great narrative voice. And you teach very well. Thanks.

  • @heathicusmaximus8170
    @heathicusmaximus8170 Жыл бұрын

    This video brought out a concept that the textbook did not. That is, how values of p close to 0 or 1 show skewness for smaller sample sizes compared to p=0.5. Excellent!

  • @fbmbmx743
    @fbmbmx7433 жыл бұрын

    I should be paying part of my school tuition to you! Thanks to you I am more than 100% prepared for my exam!

  • @punkyhippo
    @punkyhippo8 жыл бұрын

    Extremely well explained. Congrats! Couldn't be any better.

  • @jbstatistics

    @jbstatistics

    8 жыл бұрын

    +Why Google, why? Thanks!

  • @panyunyu4764
    @panyunyu47646 жыл бұрын

    I like the way you deduce the standard deviation, make so much sense

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    I'm glad to be of help!

  • @a.d.254
    @a.d.2548 жыл бұрын

    I hope you can come and teach at my college. You are well paced, without a monotone voice, and explain things so well.

  • @normanremedios8190
    @normanremedios81902 жыл бұрын

    brilliant expose, could not be better

  • @kalley0839
    @kalley08393 жыл бұрын

    Thank you so much for this!

  • @AJ-et3vf
    @AJ-et3vf2 жыл бұрын

    awesome video! Thank you!

  • @varundixit1365
    @varundixit13654 жыл бұрын

    What distribution p-hat follows without normal approximation? Since p-hat is just a linear transformation of RV X (X following binomial distribution), what distribution transformed RV follows? We will need that when normal approximation is not appropriate.

  • @DarlsC
    @DarlsC9 жыл бұрын

    I finally finally understood this. Thank you! :)

  • @jbstatistics

    @jbstatistics

    9 жыл бұрын

    You are very welcome Darlene. I'm glad I could help!

  • @rachsteve3996

    @rachsteve3996

    6 жыл бұрын

    I too just one day before final stats exam 😂 lol thanks thanks thanks!!!!!!

  • @heshanpalliyaguruge6333
    @heshanpalliyaguruge63332 жыл бұрын

    The goat, thank you

  • @collinsfx3330
    @collinsfx33306 жыл бұрын

    employees in a factory can be divided into 3 strata according to department and asked attitudinal question which were to answer yes or n. it was suspected that there may be large differences for survey variables, a sample mean of employees were selected from each department and each individual answered YES or NO. we want to computed the sample mean proportion, variance and the standard error of the mean. what are you going to do

  • @user-ez8bm6qy6k
    @user-ez8bm6qy6k Жыл бұрын

    awesome video!

  • @jbstatistics

    @jbstatistics

    Жыл бұрын

    Thanks!

  • @ChrisTian-pu8rb
    @ChrisTian-pu8rb4 жыл бұрын

    You helped a 9th grade student. Congrats you're a genius!!

  • @JoaoVitorBRgomes

    @JoaoVitorBRgomes

    3 жыл бұрын

    9th grade? gosh, so early

  • @wherethequietbeingsgo

    @wherethequietbeingsgo

    3 ай бұрын

    @@JoaoVitorBRgomes probably lives in a wealthy school district or is attending a college prep school

  • @funshowsdh1yl
    @funshowsdh1yl3 жыл бұрын

    Very helpful video

  • @haroun8332
    @haroun83327 жыл бұрын

    Good explanation, thanks

  • @jbstatistics

    @jbstatistics

    7 жыл бұрын

    You're welcome!

  • @abigailbui5753
    @abigailbui57533 жыл бұрын

    Thank you!

  • @pkittali
    @pkittali6 жыл бұрын

    What is sample size in this context? Is it number of observations in a sample or the number of samples?

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    Whenever I use the term "sample size", I am referring to the number of observations in the sample.

  • @Megan-vi5uu
    @Megan-vi5uu6 жыл бұрын

    thank you so much xxxx

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    You are very welcome!

  • @S2KEVIN
    @S2KEVIN2 жыл бұрын

    I think we all owe you a beer.

  • @hemaadaikalasamy5317
    @hemaadaikalasamy53176 жыл бұрын

    THANK YOU!!!

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    You are welcome!

  • @Avioulii
    @Avioulii3 жыл бұрын

    Rip to everyone cramming for methods externals 👁💧👄💧👁

  • @edwardraywer4198
    @edwardraywer41986 жыл бұрын

    Thanks...

  • @honorbound1346
    @honorbound13468 жыл бұрын

    9:29 leads to the summary

  • @afyalineteam8505
    @afyalineteam85053 жыл бұрын

    thanks

  • @nalanigleeson2098
    @nalanigleeson20985 жыл бұрын

    goooo year 12 methods gals

  • @shawnwu515
    @shawnwu5159 жыл бұрын

    hi, your video is very informative and clear. but can you please explain what factor/factors makes the sampling distribution of p-hat approximately normal when n gets really big given a quite small or big value of p.

  • @achee12345

    @achee12345

    8 жыл бұрын

    +Shawn Wu its the concept of central limit theorem

  • @NarutoUzumaki-te6co
    @NarutoUzumaki-te6co2 жыл бұрын

    why do we need to sqare n @3:40

  • @jbstatistics

    @jbstatistics

    2 жыл бұрын

    When a random variable is multiplied by a constant, the variance gets multiplied by the square of the constant. It comes out pretty quickly in the math: Var(cX) = E[(cX - mu_cX)^2] = E[(cX - c*mu_X)^2] = E[c^2(X - mu_X)^2] = c^2E[(X - mu_X)^2] = c^2 Var(X). (Yes, there are some steps here that would also require explanation/proof.)

  • @segasportstv1258
    @segasportstv12583 жыл бұрын

    Am from mzumbe universty i like

  • @fhaiza1543
    @fhaiza15432 ай бұрын

    Sample proportion

  • @harrieswanepoel9678
    @harrieswanepoel96783 жыл бұрын

    2:40

  • @user-fx4fs7ob3o
    @user-fx4fs7ob3o3 жыл бұрын

    Does the sampling distribution of proportions normally distributed?✨

  • @JoaoVitorBRgomes

    @JoaoVitorBRgomes

    3 жыл бұрын

    if they are large enough

  • @bobdole877
    @bobdole8775 жыл бұрын

    Marky Mark

  • @at18
    @at182 жыл бұрын

    jbstats FTW

  • @musicIistener
    @musicIistener8 жыл бұрын

    can u please use smaller words.... my ADD ass cannot keep up...

  • @crushchr0nicles

    @crushchr0nicles

    3 жыл бұрын

    I know this was 4 years ago but this is such a huge fucking mood

  • @musicIistener

    @musicIistener

    3 жыл бұрын

    chu good luck hero

  • @crushchr0nicles

    @crushchr0nicles

    3 жыл бұрын

    Sage Delphi thanks, math makes me want to neck myself

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