If the calculated chi-square statistic is 15.3, which of the statements below is

Statistics
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If the calculated chi-square statistic is 15.3, which of the statements below is true given the following:
Critical value for the 0.05 significance level is 12.59
Critical value for the 0.01 significance level is 16.81
A The null hypothesis can be rejected at the chi-square critical value of 12.59 at the 0.05 level of significance, but not at the 0.01 level
B The null hypothesis can be rejected at both the .05 and .01 levels of significance
C The null hypothesis cannot be rejected because 15.3 is larger than the 0.05 critical value of 12.59
D The null hypothesis can only be accepted at any critical chi-square critical level
Sep 10th, 2015

Thanks for giving me the chance to help you out!

The answer should be A.

Critical value just means the point where it passes the test. At the 0.05 level of significance the critical value is 12.59. The chi square you are working with measured 15.3. Since 15.3 is greater than the critical value of 12.59 the test passes the 0.05 level of significance (meaning we know there is some statistical importance with 95% certainty) and we can reject the null hypothesis that there is no meaning.

To pass the 0.01 level or 99% certainty that there is significance between the variables, the critical value of 16.81 must be met or surpassed. Since the chi square statistic is only 15.3 it does not meet this threshold. Therefore, we cannot say the test was significant at the 0.01 level.

It should only be significant at 0.05 and not at 0.01 which is in answer A.

I hope this was helpful. Please let me know if you need any clarification
Sep 10th, 2015

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