In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 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 Ha: The responses to the questions do not occur with the same frequency (O - E)² E Response A - B C D E Observed Frequency 9 18 17 16 13 Expected Frequency 14.6 ✔ 14.6✓ O OF 14.6✓ O 14.6✓ O 14.6 ✓ What is the p-value? 0.46 x 2.147✔ .7918✓ O .3945✓ .1342✔ * What is the chi-square test-statistic for this data? x² = 3.6 X .1753✓

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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Question
In studying the responses to a multiple-choice test question, the following sample data were obtained. At the
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
Ha: The responses to the questions do not occur with the same frequency
(O – E)²
E
Response
A
-
B
с
D
E
Observed
Frequency
9
18
17
16
13
Expected
Frequency
14.6✓
14.6 ✓
14.6 ✔
14.6 ✔
14.6 ✔
2.147✔ O
What is the p-value? 0.46 X
.7918✔ 0
.3945✓
.1342✓ O
What is the chi-square test-statistic for this data?
x²
3.6 X
.1753✓
Transcribed Image Text:In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 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 Ha: The responses to the questions do not occur with the same frequency (O – E)² E Response A - B с D E Observed Frequency 9 18 17 16 13 Expected Frequency 14.6✓ 14.6 ✓ 14.6 ✔ 14.6 ✔ 14.6 ✔ 2.147✔ O What is the p-value? 0.46 X .7918✔ 0 .3945✓ .1342✓ O What is the chi-square test-statistic for this data? x² 3.6 X .1753✓
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