Test to see if religious faith is independent of the region where one lives. For this test, specify the null and the alternate hypotheses that are being tested, report the X² test statistic and the critical value you are using to conduct the test, and clearly state the conclusion of the test in the context of the problem (use =0.05). Show your work.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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|Q5.
Suppose we wish to study the relationship between religious affiliation and geographical
region. Two groups of people are chosen at random, one from the east coast and one from the
west coast of the United States and each person is classified as Protestant, Catholic, or Jewish.
The observed frequencies are presented in the following table.
Protestant Catholic Jewish
East coast
182
215
203
West coast
154
136
110
Test to see if religious faith is independent of the region where one lives. For this test, specify
the null and the alternate hypotheses that are being tested, report the X² test statistic and the
critical value you are using to conduct the test, and clearly state the conclusion of the test in
the context of the problem (use =0.05). Show your work.
Transcribed Image Text:|Q5. Suppose we wish to study the relationship between religious affiliation and geographical region. Two groups of people are chosen at random, one from the east coast and one from the west coast of the United States and each person is classified as Protestant, Catholic, or Jewish. The observed frequencies are presented in the following table. Protestant Catholic Jewish East coast 182 215 203 West coast 154 136 110 Test to see if religious faith is independent of the region where one lives. For this test, specify the null and the alternate hypotheses that are being tested, report the X² test statistic and the critical value you are using to conduct the test, and clearly state the conclusion of the test in the context of the problem (use =0.05). Show your work.
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