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    Questions about the chi-square (X^2) statistic

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    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.

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    https://brainmass.com/statistics/chi-squared-test/questions-about-chi-square-x2-statistic-171205

    Solution Preview

    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 ...

    $2.19

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