5
QuizMultiple Choice
Sampling Distribution of the Sample Proportion
Question 5 of 10 • NC-Math 4
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 and 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 ?
Answer
A
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.B
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.C
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.D
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.