In testing the hypotheses H₀: $\mu$= 75 vs.H₁: $\mu$

Question

In testing the hypotheses H₀: $\mu$= 75 vs.H₁: $\mu$ < 75,if the value of the test statistic z equals -2.42,then the p-value is: A) 0.5078 B) 2.4200 C) 0.9922 D) 0.0078

Quizplus · Accepted Answer

Since the alternative hypothesis is F1F1F1S1F1F1F10 < 75, we are conducting a one-tailed test. To find the p-value, we need to find the probability of the test statistic being as extreme, or more extreme, than the observed value of 2.42 under the null hypothesis. Since this is a left-tailed test, we are interested in the area to the left of 2.42 on the standard normal distribution. Using a standard normal table or calculator, we find that the area to the left of 2.42 is 0.0078. Therefore, the p-value is 0.0078.

In Testing the Hypotheses H0 μ\muμ = 75 VsH1 μ\muμ < 75,if the Value of the Test Statistic Z Equals

In Testing the Hypotheses H₀ $\mu$ = 75 VsH₁ $\mu$ < 75,if the Value of the Test Statistic Z Equals