Suppose that a test procedure about the population proportion P is performed,and that the sample proportion
is approximately normally distributed.If the alternative hypothesis is H₁ : P < P₀,then the rejection region for a level α is Z < -z_α.

Question

Suppose that a test procedure about the population proportion P is performed,and that the sample proportion

is approximately normally distributed.If the alternative hypothesis is H₁ : P < P₀,then the rejection region for a level α is Z < -z_α.

Quizplus · Accepted Answer

This statement correctly describes the rejection region for a one-tailed test with a lower alternative hypothesis. The rejection region is in the left tail of the standard normal distribution, and the cutoff value is determined by the selected significance level (α) and the corresponding z-score from the standard normal distribution (denoted as -zα). Therefore, if the test statistic (calculated from the sample proportion) falls in this left tail region (i.e., the z-score is less than -zα), we reject the null hypothesis in favor of the alternative hypothesis.

Suppose That a Test Procedure About the Population Proportion P