In a nearby town, 56% of adults read nonfiction books as a hobby, while only 39% of teenagers read nonfiction books as a hobby. Let p hat Subscript Upper A and P hat Subscript Upper T be the sample proportions of adults and teenagers, respectively, who read nonfiction books as a hobby. Suppose 28 adults and 41 teenagers from this town are selected at random and asked if they read nonfiction books as a hobby. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T ? The difference (adult – teenager) in the sample proportions of those who read nonfiction books as a hobby typically varies about 0.003 from the true difference in proportions. The difference (adult – teenager) in the sample proportions of those who read nonfiction books as a hobby typically varies about 0.015 from the true difference in proportions. The difference (adult – teenager) in the sample proportions of those who read nonfiction books as a hobby typically varies about 0.055 from the true difference in proportions. The difference (adult – teenager) in the sample proportions of those who read nonfiction books as a hobby typically varies about 0.121 from the true difference in proportions.
