n studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.10 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. (0 – E) Observed Expected Frequency Response Frequency E A 12 В 20 C 20 D 15 E 19 a. What is the y test-statistic for this data? Round to four decimal places. b. What is thep-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. O Reject the null hypothesis. d. What is the final conclusion? 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. O There is sufficient evidence to conclude the test question responses occur with the same frequency. O There is sufficient evidence to conclude the test question responses do not occur with the

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In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At
the a = 0.10 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
Frequency
Expected
Frequency
(0 – E)
Response
E
A
12
20
C
20
15
E
19
a. What is the y test-statistic for this data? Round to four decimal places.
x =
b. What is thep-value? Round to four decimal places.
p-value =
c. What would be the conclusion of this hypothesis test?
OFail to reject the hull hypothesis.
O Reject the null hypothesis.
d. What is the final conclusion?
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.
O There is sufficient evidence to conclude the test question responses occur with the same
frequency.
O There is sufficient evidence to conclude the test question responses do not occur with the
same frequency.
B.
Transcribed Image Text:In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a = 0.10 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 Frequency Expected Frequency (0 – E) Response E A 12 20 C 20 15 E 19 a. What is the y test-statistic for this data? Round to four decimal places. x = b. What is thep-value? Round to four decimal places. p-value = c. What would be the conclusion of this hypothesis test? OFail to reject the hull hypothesis. O Reject the null hypothesis. d. What is the final conclusion? 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. O There is sufficient evidence to conclude the test question responses occur with the same frequency. O There is sufficient evidence to conclude the test question responses do not occur with the same frequency. B.
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