Describe the Sampling Distribution of a Sample Proportion
-A Simple $n = 1460$

Multiple Choice

Describe the Sampling Distribution of a Sample Proportion
-A simple random sample of size $n = 1460$ is obtained from a population whose size is $\mathrm { N } = 1,400,000$ and whose population proportion with a specified characteristic is $\mathrm { p } = 0.57$ . Describe the sampling distribution of $\hat { p }$ .

A) Approximately normal; $\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.013$
B) Exactly normal; $\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.013$
C) Approximately normal; $\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.1323$
D) Exactly normal; $\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.1323$