A chi-square goodness-of-fit test is to be performed. The relative frequencies for the null
hypothesis and the sample size are given. True or false, the assumptions for using a chi-square
goodness-of-fit test are satisfied? Sample size: $\mathrm { n } = 50$
Relative frequencies: $0.23,0.01,0.33,0.13,0.3$

Question

Quizplus · Accepted Answer

One of the assumptions for using a chi-square goodness-of-fit test is that the expected frequency for each category must be at least 5. Given the sample size of 50 and the relative frequencies provided, the expected frequencies for these categories would be 11.5, 0.5, 16.5, 6.5, and 15, respectively. The second category, with an expected frequency of 0.5, does not meet this requirement, thus the assumptions for using a chi-square goodness-of-fit test are not satisfied.

A Chi-Square Goodness-Of-Fit Test Is to Be Performed n=50\mathrm { n } = 50n=50

A Chi-Square Goodness-Of-Fit Test Is to Be Performed $\mathrm { n } = 50$