Suppose a random sample of nequals431 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, modifyingabove p with caret. complete parts a through c below. a. give the mean and standard deviation of the sampling distribution of the sample proportion, p. the mean of the sampling distribution of p is the standard deviation of the sampling distribution of p is (round to four decimal places as needed.) b. describe the shape of the sampling distribution of p. 0 a the shape of the sampling distribution of p is approximately normal because the sample size is small. the shape of the sampling distribution of p is approximately normal because the sample size is large the shape of the sampling distribution of p is approximately uniform because the sample size is smal ○ c. o d. the shape of the sampling distribution of p is approximately uniform because the sample size is large. c. calculate the standard normal z-score corresponding to a value of p=0.41. the standard normal z-score corresponding to a value of p: 041 is . round to two decimal places as needed.)