Which of the following is true about the relationship between the critical value

Question

Which of the following is true about the relationship between the critical value, the test statistic, the level of significance of the hypothesist test, and the p-value (the observed level of significance)? Since the level of significance of the test determines the size of the critical value, and the test statistic is used to calculate the p-value, if the test statistic (in absolute value) is larger than the critical value, then the p-value will be larger than the level of significance specified. Since the level of significance of the test determines the size of the critical value, and the test statistic is used to calculate the p-value, if the test statistic falls in the rejection region, then the p-value will be smaller than the level of significance specified. When conducting a hypothesis test, it is possible for the test statistic/critical value approach to result in a conclusion to reject the null hypothesis and for the p-value to still be larger than the level of significance of the test. None of the above.

Explanation / Answer

It is option B. [ANSWER]

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The greater the test statistic, the lower the p value.

Thus, once the test statistic exceeds the critical value, then the p value also gets lower than the significance level.

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