Consider taking a random sample from a population with p 0 70 a What is the standard error of p for random samples of size 100 b Would the standard error of p be smaller for samples of size 100 or samples of size 400 c Does decreasing the sample size by a factor of 4, from 400 to 100, result in a standard error of p that is four times as large

Question: Consider taking a random sample from a population with p = 0.70. a. What is the standard error of p for random samples of

Consider taking a random sample from a population with p = 0.70.
a. What is the standard error of ˆ p for random samples of size 100?
b. Would the standard error of ˆ p be smaller for samples of size 100 or samples of size 400?
c. Does decreasing the sample size by a factor of 4, from 400 to 100, result in a standard error of ˆ p that is four times as large?

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