An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10   a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01? Group of answer choices Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Fail to reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0. Reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.   B) A 95% confidence interval was found to be (-0.45, 0.54). Suppose instead we were testing a two-sided hypothesis. Does this confidence interval allow us to say that the two proportions differ significantly at α=0.05α=0.05α=0.05α=0.05? Group of answer choices No, because the confidence interval includes 0. No, because the confidence interval does not include 0. Yes, because the confidence interval includes 0. Yes, because the confidence interval does not include 0.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10

 

a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01?

Group of answer choices
Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.
Reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.
Fail to reject the null hypothesis and say that we have insufficient evidence to conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.
Reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater than 0.
 
B) A 95% confidence interval was found to be (-0.45, 0.54). Suppose instead we were testing a two-sided hypothesis. Does this confidence interval allow us to say that the two proportions differ significantly at α=0.05α=0.05α=0.05α=0.05?
Group of answer choices
No, because the confidence interval includes 0.
No, because the confidence interval does not include 0.
Yes, because the confidence interval includes 0.
Yes, because the confidence interval does not include 0.
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman