Describe the Sampling Distribution of a Sample Proportion
-A national caterer determined that $87 \%$ of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000 . The 144 people are asked to sample the caterer's food. Will the distribution of $\hat { p }$, the sample proportion saying that the food is delicious, be approximately normal? Answer Yes or No.
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

The distribution of $\hat{p}$ will be approximately normal because both $np$ and $n(1-p)$ are greater than 5, where $n = 144$ and $p = 0.87$.

Describe the Sampling Distribution of a Sample Proportion -A National 87%87 \%87%

Describe the Sampling Distribution of a Sample Proportion
-A National $87 \%$