Questions about the chi-square (X^2) statistic
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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.
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1. The χ2 test statistic is a random variable that is based on frequencies.
True. There are two kinds of chi-square tests:
goodness-of-fit (comparing frequencies of one variable to theoretical or expected frequencies)
test of independence (comparing frequencies of one variable to frequencies of a second variable)
2. The chi-square test for ...
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