Consider taking a random sample from a population with p 0 25 a What is the standard error of p for random samples of size 400 b Would the standard error of p be smaller for random samples of size 200 or samples of size 400 c Does cutting the sample size in half from 400 to 200 double the standard error of p

Question: Consider taking a random sample from a population with p = 0.25. a. What is the standard error of p for random samples of

Consider taking a random sample from a population with p = 0.25.
a. What is the standard error of ˆ p for random samples of size 400?
b. Would the standard error of ˆ p be smaller for random samples of size 200 or samples of size 400?
c. Does cutting the sample size in half from 400 to 200 double the standard error of ˆ p ?

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