Question

In studying the responses to a multiple-choice test question, the following sample data were obtained. At...

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.

H0: The responses to the questions occur with the same frequency

Ha: The responses to the questions do not occur with the same frequency

What is the p-value?


What would be the conclusion of this hypothesis test?

  • Reject the Null Hypothesis
  • Fail to reject the Null Hypothesis

What is the final conclusion?

  • There is sufficient evidence to conclude the test question responses occur with the same frequency.
  • 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.


Report all answers accurate to three decimal places.

Response

Observed
Frequency

Expected
Frequency

(O−E)2E(O-E)2E

A

5

B

22

C

23

D

22

E

15



What is the chi-square test-statistic for this data?
χ2=χ2=

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The Chi^2 value is 13.402. The p-value is .00947. The result is significant at p < .05.

it means that we have to reject null hypothesis.

There is not sufficient evidence to conclude the test question responses occur with the same frequency

please like ??

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