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A professor tests whether the loudness of noise during an exam (low, medium, and high) is...

A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test.

Noise Level
Low Medium High
Exam Pass 21 18 9 48
Fail 9 7 11 27
30 25 20 N = 75

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)
=

Decide whether to retain or reject the null hypothesis.

Retain the null hypothesis.Reject the null hypothesis.    


(b) Compute effect size using Cramer's V. (Round your answer to two decimal places.)
V =

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is :

Test statistics = 4.30

Critical value = 5.99

Retain the null hypothesis.

V = 0.24

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