State the proper forms of hypotheses for two-sample hypothesis tests.
-For a lower-tail test, the p-value in the output from an Excel tool:
A) is correct if the test-statistic is negative.
B) is the difference from 1.0 if the test-statistic is negative.
C) is correct if the test-statistic is zero.
D) is correct if the test-statistic is positive.

Question

Quizplus · Accepted Answer

For a lower-tail test, the null hypothesis is that the population parameter is greater than or equal to the hypothesized value, while the alternative hypothesis is that the population parameter is less than the hypothesized value. Therefore, if the test-statistic is negative, it supports the alternative hypothesis and the p-value would be the probability of getting a test statistic as extreme or more extreme than the observed value, given that the null hypothesis is true.

State the Proper Forms of Hypotheses for Two-Sample Hypothesis Tests