The following table shows results from the 2014 General Social Survey on belief in the afterlife, classified by gender. Conduct all steps of a significance test, using α = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife. State the p-value of the observed test-statistic. What conclusion can be made based on the p-value?  What type of an error could you be making based on your decision in question f?  Find the 95% CI for the difference between the proportion of males and females who believe in the afterlife. Interpret this interval in the context of hypothesis testing.

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

The following table shows results from the 2014 General Social Survey on belief in the afterlife, classified by gender. Conduct all steps of a significance test, using α = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife.

  1. State the p-value of the observed test-statistic.

  2. What conclusion can be made based on the p-value?

  3.  What type of an error could you be making based on your decision in question f?

  4.  Find the 95% CI for the difference between the proportion of males and females who believe in the afterlife. Interpret this interval in the context of hypothesis testing.

Belief in Afterlife
Gender
Yes
No
Total by Gender
Female
600
109
709
Male
424
170
594
Total by Belief in Afterlife 1,024 279
1,303
Transcribed Image Text:Belief in Afterlife Gender Yes No Total by Gender Female 600 109 709 Male 424 170 594 Total by Belief in Afterlife 1,024 279 1,303
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar 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