In: Statistics and Probability
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 =
The statistical software output for this problem is :
(a)
Test statistics is = 4.94
(b)
V = 0.27