In testing the hypotheses H₀: μ = 75 vs.H₁: μ

Question

In testing the hypotheses H₀: μ = 75 vs.H₁: μ < 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

A negative value of the test statistic z indicates that the sample mean is less than the population mean. The p-value is the probability of observing a sample mean as extreme or more extreme than the one obtained, assuming that the null hypothesis is true. Since the alternative hypothesis is one-tailed, the p-value is the probability of obtaining a z-score less than -2.42. Using a standard normal distribution table, we find that the probability of obtaining a z-score less than -2.42 is approximately 0.0078. Therefore, the correct answer is D.

In Testing the Hypotheses H0: μ = 75 Vs

In Testing the Hypotheses H₀: μ = 75 Vs