Describe the Sampling Distribution of a Sample Proportion
-According to a Study

Multiple Choice

Describe the Sampling Distribution of a Sample Proportion
-According to a study conducted in one city, $36 \%$ of adults in the city have credit card debts of more than $\$ 2000$ . A simple random sample of $\mathrm { n } = 100$ adults is obtained from the city. Describe the sampling distribution of $\hat { \text { p} }$ , the sample proportion of adults who have credit card debts of more than $\$ 2000$ .

A) Approximately normal; $\mu _ { \mathrm { p } } = 0.36 , \sigma _ { \mathrm { p } } = 0.048$
B) Exactly normal; $\mu _ { \mathrm { p } } = 0.36 , \sigma _ { \mathrm { p } } = 0.048$
C) Approximately normal; $\mu _ { \mathrm { p } } = 0.36 , \sigma _ { \mathrm { p } } = 0.0023$
D) Binomial; $\mu _ { \mathrm { p } } = 36 , \sigma _ { \mathrm { p } } = 4.80$