A random sample is to be selected from a population that has a proportion of successes p

Question:

A random sample is to be selected from a population that has a proportion of successes p = 0.65. Determine the mean and standard deviation of the sampling of ˆ p for each of the following sample sizes:
a. n = 10
b. n = 20
c. n = 30
d. n = 50
e. n = 100
f. n = 200 Distribution
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