Consider taking a random sample from a population with p 0 40 a What is the standard error of p for random samples of size 100 b Would the standard error of p be larger for samples of size 100 or samples of size 200 c If the sample size were doubled from 100 to 200, by what factor would the standard error of p decrease

Question: Consider taking a random sample from a population with p = 0.40. a. What is the standard error of p for random samples of

Consider taking a random sample from a population with p = 0.40.
a. What is the standard error of ˆ p for random samples of size 100?
b. Would the standard error of ˆ p be larger for samples of size 100 or samples of size 200?
c. If the sample size were doubled from 100 to 200, by what factor would the standard error of ˆ p decrease?

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