In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency A 6 16.2 B 10 16.2 C 24 16.2 D 18 16.2 E 23 16.2 (0-E)2 E a. What is the x test-statistic for this data? Round to four decimal places. b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is 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. O There is not sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to conclude the test question responses occur with the same frequency.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At
the a 0.05 significance level, test the claim that the responses occur with the same frequency.
Ho: The responses to the questions occur with the same frequency.
H₁: The responses to the questions do not occur with the same frequency.
Observed
Response
Frequency
Expected
Frequency
(0-E)2
E
A
6
16.2
8
B
10
16.2
C
24
16.2
D
18
16.2
8
E
23
16.2
a. What is the X2 test-statistic for this data? Round to four decimal places.
x²=
b. What is the p-value? Round to four decimal places.
p-value=
c. What would be the conclusion of this hypothesis test?
O Fail to reject the hull hypothesis.
Reject the null hypothesis.
d. What is the final conclusion?
O There is 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.
O There is not sufficient evidence to conclude the test question responses do not occur with the
same frequency.
O There is not sufficient evidence to conclude the test question responses occur with the same
frequency.
Transcribed Image Text:In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is 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. O There is not sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to conclude the test question responses occur with the same frequency.
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