This question refers to a survey of a university's faculty members on affirmative action policies for the university. The survey was based on telephone interviews with a random sample of 1,001 faculty members conducted in December 1995. One of the questions asked was, "Do you favor or oppose using race, religion, sex, color, ethnicity, or national origin as a criterion for admission to the university?" Of the 704 male respondents, 45% said "Favor," and of the 297 female respondents, 72% said "Favor." (a) Find the conservative margin of error (in %) for the male respondents. (Round your answer to one decimal place.) % Use the conservative margin of error to compute an approximate 95% confidence interval for the percent who favored this policy at the time of the poll in the population of male faculty members. (Round your answers to one decimal place.) (_,_)%, % (b) Find the conservative margin of error (in %) for the females. (Round your answer to one decimal place.) % Use the conservative margin of error to compute an approximate 95% confidence interval for the percent of females in the population who favored this policy at the time of the poll. (Round your answers to one decimal place.) (_,_)%, % (c) Compare the approximate 95% confidence intervals you found in parts (a) and (b), and comment on whether you think male and female faculty members in the population differed on this question. Since there overlap between the two intervals, there is evidence to indicate that the male and female faculty members differed on this question.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This question refers to a survey of a university's faculty members on affirmative action policies for the university. The survey was based on telephone interviews with a random sample of 1,001 faculty members conducted in December 1995.

One of the questions asked was, "Do you favor or oppose using race, religion, sex, color, ethnicity, or national origin as a criterion for admission to the university?" Of the 704 male respondents, 45% said "Favor," and of the 297 female respondents, 72% said "Favor."

(a)

Find the conservative margin of error (in %) for the male respondents. (Round your answer to one decimal place.)

Use the conservative margin of error to compute an approximate 95% confidence interval for the percent who favored this policy at the time of the poll in the population of male faculty members. (Round your answers to one decimal place.)

(_,_)%

(b)

Find the conservative margin of error (in %) for the females. (Round your answer to one decimal place.)

Use the conservative margin of error to compute an approximate 95% confidence interval for the percent of females in the population who favored this policy at the time of the poll. (Round your answers to one decimal place.)

(_,_)%

(c)

Compare the approximate 95% confidence intervals you found in parts (a) and (b), and comment on whether you think male and female faculty members in the population differed on this question.

Since there __ overlap between the two intervals, there is __ evidence to indicate that the male and female faculty members differed on this question.

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