Question

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

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

Noise Level
Low Medium High
Test Pass 20 16 8 44
Fail 8 6 11 25
28 22 19 N = 69

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)
X2obt =

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

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Answer #1

Answer:

Given Data

L M H Total
P 20 16 8 44
F 8 6 11 25
Total 28 22 19 69


Results
Category 1 Category 2 category 3 Row Totals
Group 1 20  (17.86)  [0.26] 16  (14.03)  [0.28] 8  (12.12)  [1.40] 44
Group 2 8  (10.14)  [0.45] 6  (7.97)  [0.49] 11  (6.88)  [2.46] 25
Column Totals 28 22 19 69  (Grand Total)

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