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.

[behroykiarad]

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

[heathicusmaximus]

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!

[panyunyu]

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

[fbmbmx]

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

[jameschan]

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

[a.d.]

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

[punkyhippo]

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

[ChrisTian-purb]

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

[normanremedios]

brilliant expose, could not be better

[DarlsC]

I finally finally understood this. Thank you! :) 

[Avioulii]

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

[varundixit]

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.

[rts]

Where might I find these rules, such as "when a random variable is multiplied by a constant, the variance gets multiplied by the square of the constant" etc.? Thank you very much

[pkittali]

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

[collinsfx]

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

[에이스-pr]

Does the sampling distribution of proportions normally distributed?✨

[shawnwu]

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.

[musicIistener]

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