Question

A professor tests whether the loudness of noise during an exam (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	19	16	8	43
	Fail	8	6	10	24
		27	22	18	N = 67

(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 =

Answer 1

The statistical software output for this problem is :

(a)

Test statistics = 4.20

Retain the null hypothesis.

(b)

V = 0.25