In each question below, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether the two assumptions for using that test are satisfied.
Assumption 1: All expected frequencies are 1 or greater
Assumption 2: At most 20 percent of the expected frequencies are less than 5
Sample size: n = 100, Relative frequencies: 0.65, 0.30, 0.05
Sample size: n = 50, Relative frequencies: 0.22, 0.22, 0.25, 0.30, 0.01
Sample size: n = 50, Relative frequencies: 0.22, 0.21, 0.25, 0.30, 0.02
Sample size: n = 100, Relative frequencies: 0.44, 0.25, 0.30, 0.01
You can earn partial credit on this problem.