Question

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 p ^ is the sample proportion saying that the food is delicious, what is the mean of the sampling distribution of p ^ ?

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Given that 87% of the people who sampled their food said that it was delicious

Population proportion = 87%

The sample size of 144 from 5000 will have proportion p cap which will follow a normal distribution with mean= p = 87%

and variance = npq

Hence answer is 0.87

or 87%