Consider the following competing hypotheses: .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

Consider the following competing hypotheses:  .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

Quizplus · Accepted Answer

If we choose a 5% significance level, our critical value for a two-tailed test is 1.96. Since our test statistic (-1.38) does not fall into the rejection region (-1.96 to 1.96), we fail to reject the null hypothesis. Therefore, we cannot conclude that the population mean is significantly different from zero.

Consider the Following Competing Hypotheses