Question

Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let p hat Subscript Upper A and p hat Subscript Upper T be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie.
Which of the following is the mean of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T?
–0.11
0.11
0.74
1.47

Answer 1

The difference (adult - teenager) in the sample proportions of those who would recommend this action movie varies about 0.091 from the true difference in proportions.