When the hypotheses H₀: μ ≥ 100 and H_a: μ zα B) -zα C)

Question

When the hypotheses H₀: μ ≥ 100 and H_a: μ < 100 are being tested at a level of significance of α, the null hypothesis will be rejected if the test statistic z is _____. A) > zα B) > -zα C) < -zα D) < 100

Quizplus · Accepted Answer

The null hypothesis will be rejected if the test statistic z falls in the rejection region, which is determined by the level of significance and the alternative hypothesis. For a one-tailed test with a lower alternative hypothesis, the rejection region is in the left tail of the standard normal distribution, and it corresponds to z values less than the negative critical value, denoted by -zα. Therefore, choice C is the correct answer, which specifies that the test statistic z must be less than -zα for the null hypothesis to be rejected.

When the Hypotheses H0: μ ≥ 100 and Ha: μ

When the Hypotheses H₀: μ ≥ 100 and H_a: μ