Response in a True or False
1. The X^2 test statistic is a random variable that is based on frequencies.
2. The chi-square test for independence is a non-parametric statistical test because no parameters are estimated
3. Observed frequencies in a chi-square goodness-of-fit test for normality may be less than 5 or even 0 in some cells, so long as the expected frequencies are large enough.
4. If two variables are independent you would expect the X^2 test statistic to be close to zero.
5. The null hypothesis for a chi-square contingency test of independence for two variables always assumes the variables are independent.