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. If $\hat { p }$ is the sample proportion saying that the food is delicious, what is the mean of the sampling distribution of $\hat { p } ^ { \text {? } }$
A) $0.87$
B) $1.25$
C) $0.19$
D) $0.42$

Question

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. If $\hat { p }$ is the sample proportion saying that the food is delicious, what is the mean of the sampling distribution of $\hat  { p } ^ { \text {? } }$
A) $0.87$
B) $1.25$
C) $0.19$
D) $0.42$

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample proportion ($\hat { p }$) is equal to the population proportion, which is $0.87$ or $87\%$.

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

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