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 correct shape and justification of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T ?

bimodal because one population proportion is centered at 0.68, while the other is centered at 0.79
approximately Normal because the expected numbers of successes and failures for each sample are all at least 10
not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10
not approximately Normal because the expected numbers of successes and failures for the adult group are not both at least 10