(2 pts) Round answers below to three decimal places. Enter answers below as proportions (and not as percentages). Of students at a large university,...

(2 pts) Round answers below to three decimal places. Enter answers below as proportions (and not as percentages).

Of students at a large university, 27 percent are sophomores. For samples of 70 students, consider the sampling distribution of the sample proportion of sophomores.

(a) The mean of the sampling distribution of the sample proportion is   .27

(b) The standard deviation of the sampling distribution of the sample proportion is