In: Statistics and Probability
A professor tests whether the loudness of noise during an assignment (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 | |||
Assignment | Pass | 21 | 16 | 9 | 46 |
Fail | 9 | 6 | 12 | 27 | |
30 | 22 | 21 | N = 73 |
(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 =