State whether each standardized test statistic chi^2 allows you to reject the nu

Question

State whether each standardized test statistic chi^2 allows you to reject the null hypothesis. Explain. (a) chi^2 = 22.354 (b) chi^2 = 22.370 (c) chi^2 = 5.900 (d) chi^2 = 5.884 (a) Choose the correct answer below. A. Reject the null hypothesis because the standardized test statistic is not in the rejection region. B. Do not reject the null hypothesis because the standardized test statistic is not in the rejection region. C. Reject the null hypothesis because the standardized test statistic is in the rejection region. D. Do not reject the null hypothesis because the standardized test statistic is in the rejection region. (b) Choose the correct answer below. A. Do not reject the null hypothesis because the standardized test statistic is in the rejection region. B. Reject the null hypothesis because the standardized test statistic is not in the rejection region. C. Do not reject the null hypothesis because standardized the test statistic is not in the rejection regi

Explanation / Answer

We reject the null hypothesis when the test statistics value liesin the rejection (blue) region.

In this case, rejection region is to left of point 5.892 and to the right of the point 22.362.

a) Since 22.354 does not lie in the rejection region so we do not have sufficient evidence to reject the null hypothesis.

Hence option B.

b) Since 22.370 lies in the rejection region so we have sufficient evidence to reject the null hypothesis.

Hence option D.

c) Since 5.900 does not lie in the rejection region so we do not have sufficient evidence to reject the null hypothesis.

Hence option A.

d) Since 5.884 lies in the rejection region so we have sufficient evidence to reject the null hypothesis.

Hence option A.

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