Question

In: Statistics and Probability

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 20 18 8 46
Fail 8 6 10 24
   28 24 18 N = 70

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

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

Solutions

Expert Solution

The statistical software output for this problem is :

(a)

Test statistics is   = 4.94

(b)

V = 0.27


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