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In: Statistics and Probability

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

8. 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 17 9 47
Fail 9 6 12 27
30 23 21 N = 74

Part 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.

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

9. What is Cramer's V for each of the following values for the chi-square test for independence? (Round your answers to two decimal places.)

Part A) X2 = 3.63, n = 50, dfsmaller = 1

Part B) X2 = 9.27, n = 120, dfsmaller = 2

Part C) X2 = 12.23, n = 160, dfsmaller = 3

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orchestra answered 1 year ago
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