According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%.6 You select an SRS of 50 married couples with children and let p̂ = the sample proportion of couples in which both parents work outside the home.

a. Identify the mean of the sampling distribution of p̂.

b. Calculate and interpret the standard deviation of the sampling distribution of p̂. Verify that the 10% condition is met.

c. Describe the shape of the sampling distribution of p̂. Justify your answer.