When using the p-value method for hypothesis testing,if the calculated p-value is smaller than the chosen significance level,then you should A)reject the null hypothesis. B)fail to reject the null hypothesis. C)choose a smaller significance level that is less than the p-value. D)calculate a new p-value that is larger than the chosen significance level.

Question

Quizplus · Accepted Answer

If the calculated p-value is smaller than the chosen significance level (alpha), it means that the probability of obtaining the observed results (or more extreme) under the assumption that the null hypothesis is true is very low. This implies that the null hypothesis is unlikely, so we reject it in favor of the alternative hypothesis. Therefore, the correct choice is to reject the null hypothesis.

When Using the p-Value Method for Hypothesis Testing,if the Calculated