For the following hypothesis test, H₀: μ ≥ 150 H_a: μ

Question

For the following hypothesis test, H₀: μ ≥ 150 H_a: μ < 150 The test statistic A) must be negative. B) must be positive. C) can be either negative or positive. D) must be a number between zero and one.

Quizplus · Accepted Answer

The test statistic in a hypothesis test comparing a sample mean to a population mean (μ) can be either negative or positive, depending on whether the sample mean is less than or greater than the hypothesized population mean. The direction of the inequality in the alternative hypothesis does not dictate the sign of the test statistic; it influences the decision rule for the test.

For the Following Hypothesis Test, H0: μ ≥ 150

For the Following Hypothesis Test, H₀: μ ≥ 150