Suppose a random sample of

n=369

measurements is selected from a binomial population with probability of success p. For each of the given values of p, give the mean and standard deviation of the sampling distribution of the sample proportion,

p.

Complete parts a through c below.

a.

p=0.1

The mean of the sampling distribution of

p

is

enter your response here.

The standard deviation of the sampling distribution of

p

is

enter your response here.

(Round to four decimal places as needed.)

b.

p=0.5

The mean of the sampling distribution of

p

is

enter your response here.

The standard deviation of the sampling distribution of

p

is

enter your response here.

(Round to four decimal places as needed.)

c.

p=0.7

The mean of the sampling distribution of

p

is

enter your response here.

The standard deviation of the sampling distribution of

p

is

enter your response here.

(Round to four decimal places as needed.)