A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207). Which of the following statements is the best interpretation of the interval? The difference in the percents of fans of a professional football team between men and women is 17%. Answer A: The difference in the percents of fans of a professional football team between men and women is 17%. A There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team. Answer B: There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team. B We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%. Answer C: We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%. C We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%. Answer D: We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%. D We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

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Description: A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of wom

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207). Which of the following statements is the best interpretation of the interval?

The difference in the percents of fans of a professional football team between men and women is 17%.

Answer A: The difference in the percents of fans of a professional football team between men and women is 17%.

A
There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.

Answer B: There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.

B
We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.

Answer C: We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.

C
We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.

Answer D: We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.

D
We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

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