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 modifyingabove p with caretp is the sample proportion saying that the food is​ delicious, what is the mean of the sampling distribution of modifyingabove p with caretp​?

Answer 1

The survey has only 2 answers- yes or no- and these answers are non-numeric, and therefore catigorical. Categorical data cannot be represented by a distribution curve so no, the data cannot have a normal distribution. If on the other hand the people were asked to rate the food on a numeric scale ( say, 1 to 10 or 1 to 100) you could plot the responses and get a distribution curve, which could be normal.