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 ^ ?
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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%