Describe the Sampling Distribution of a Sample Proportion
-A Simple $\mathrm { n } = 450$

Multiple Choice

Describe the Sampling Distribution of a Sample Proportion
-A simple random sample of size $\mathrm { n } = 450$ is obtained from a population whose size is $\mathrm { N } = 13,000$ and whose population proportion with a specified characteristic is $\mathrm { p } = 0.2$ . Describe the sampling distribution of $\hat { p }$ .

A) Approximately normal; $\mu _ { p } = 0.2 , \sigma p = 0.019$
B) Exactly normal; $\mu _ { \mathrm { p } } = 0.2 , \sigma _ { \mathrm { p } } = 0.019$
C) Approximately normal; $\mu _ { \mathrm { p } } = 0.2 , \sigma \mathrm { p } = 0.1109$
D) Binomial; $\mu _ { \mathrm { p } } = 90 , \sigma _ { \mathrm { p } } = 8.49$