In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled. (a) What is the mean of the sampling distribution of p hat? (b) What is the standard error of p hat ?...

In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.

(a) What is the mean of the sampling distribution of p hat?

(b) What is the standard error of p hat ?

(c) What is the probability that 80% or more of this sample will prefer Candidate A?

(d) What is the probability that 45% or more of this sample will prefer some other candidate?