When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve _____.
A) less than or equal to the critical value
B) less than or equal to the test statistic
C) greater than or equal to the critical value
D) greater than or equal to the test statistic

Question

Quizplus · Accepted Answer

When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the test statistic. This is because the p-value represents the probability of obtaining a sample statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. In this case, the observed value is in the lower tail of the distribution, so the p-value is the probability of getting a test statistic as small or smaller than the observed value.

When the Rejection Region Is in the Lower Tail of the Sampling