Consider the following competing hypotheses: H_o: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 (standard for most hypothesis tests), the critical value for a two-tailed test with α = 0.05 is ±1.96. Since the calculated test statistic (z = -1.38) does not exceed the critical values, we fail to reject the null hypothesis (H_o) and conclude that there is not enough evidence to suggest that the population mean is significantly different from zero. Therefore, choice D is the correct answer.

Consider the Following Competing Hypotheses: Ho:μ = 0,HA:μ ≠ 0

Consider the Following Competing Hypotheses: H_o:μ = 0,H_A:μ ≠ 0