Movie critics claim that 68 percent of adults and 79 percent of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let hat p sub cap A and hat p sub cap 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 hat p sub cap A minus hat p sub cap t ?
The mean of the sampling distribution of the difference in sample proportions equals the difference in the population proportions: 0.68 − 0.79 = −0.11. Therefore, the mean is negative 0.11, choice D.
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