Consider the following competing hypotheses: H₀: μ = 0, H_A: μ ≠ 0. The value of the test statistic is z = −1.38. If we choose a 5% significance level, then we ________. A) reject the null hypothesis and conclude that the population mean is significantly different from zero B) reject the null hypothesis and conclude that the population mean is not significantly different from zero C) do not reject the null hypothesis and conclude that the population mean is significantly different from zero D) do not reject the null hypothesis and conclude that the population mean is not significantly different from zero

Question

Quizplus · Accepted Answer

At a 5% significance level, the critical value for a two-tailed test is ±1.96. Since the observed test statistic (-1.38) is not greater than or less than the critical value, we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that the population mean is significantly different from zero. The correct answer is D.

Consider the Following Competing Hypotheses: H0: μ = 0, HA

Consider the Following Competing Hypotheses: H₀: μ = 0, H_A