In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.10 significance level, test the claim that the responses occur with the same frequency.H0 : The responses to the questions occur with the same frequency. H1 : The responses to the questions do not occur with the same frequency.ResponseObservedFrequencyExpectedFrequency (O-E)2E A11 B8 C6 D7 E16 What is the χ2 test-statistic for this data? Round to four decimal places.χ2= What is the p -value? Round to four decimal places. p -value= What would be the conclusion of this hypothesis test?Reject the null hypothesis.Fail to reject the hull hypothesis.What is the final conclusion?There is not sufficient evidence to conclude the test question responses occur with the same frequency.There is sufficient evidence to conclude the test question responses do not occur with the same frequency.There is not sufficient evidence to conclude the test question responses do not occur with the same frequency.There is sufficient evidence to conclude the test question responses occur with the same

The categorical variable is Response. Response has 5 cases. We have to test whether the responses…

Answered: In studying the responses to questions…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.10 significance level, test the claim that the responses occur with the same frequency.

H0 : The responses to the questions occur with the same frequency.
H1 : The responses to the questions do not occur with the same frequency.

Response	Observed Frequency	Expected Frequency	(O-E)2E
A	11
B	8
C	6
D	7
E	16

What is the χ2 test-statistic for this data? Round to four decimal places.
χ2=
What is the p -value? Round to four decimal places.
p -value=
What would be the conclusion of this hypothesis test?
- Reject the null hypothesis.
- Fail to reject the hull hypothesis.
What is the final conclusion?
- There is not sufficient evidence to conclude the test question responses occur with the same frequency.
- There is sufficient evidence to conclude the test question responses do not occur with the same frequency.
- There is not sufficient evidence to conclude the test question responses do not occur with the same frequency.
- There is sufficient evidence to conclude the test question responses occur with the same

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