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## AP®︎/College Statistics

### Course: AP®︎/College Statistics>Unit 9

Lesson 4: Sampling distributions for sample proportions

# Sampling distribution of sample proportion part 2

Building intuition for the sampling distribution of sample proportions using a simulation.

## Want to join the conversation?

• How do I get to that program?
• "So, we're gonna do 50 samples of ten at a time." v/s "And so, here, we can quickly get to a fairly large number of samples. So here, we're over a thousand samples." These two sentences from the transcript, how do they relate to the previous (part 1) video? What is the value of 'n' here, is it 50 or 1050?
(1 vote)
• n is 10 here, we're just taking 50 samples of 10 at once, instead of clicking the button 50 times.
• When Sal says at about that “we saw the relation between the sampling distribution of the sample proportion and a binomial random variable,” is he talking about the ideas in this video? https://www.khanacademy.org/math/statistics-probability/random-variables-stats-library/binomial-random-variables/v/visualizing-a-binomial-distribution
• Why isn't the program workiung?
• Sal mentions about standard deviation in the video. I am confused why it's standard deviation and not standard error, since we are dealing with a sampling distribution here?
• Hey,thanks for this super video.I am referring to our 10% rule.Based on this can we have a rule of thumb that a reasonable sample needs to have a size of at least 10 % of population to be studied?Regards
(1 vote)
• For a proportion, the normal approximation is generally good if np and n(1-p) are each at least 10. We also want the sample size to be 10% or less of the population size, so that the effects of selection without replacement (instead of with replacement) are small, meaning that the independence assumption gives a good approximation.