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

Question

In testing the hypotheses H₀ : $\mu$ = 75. H₁ : $\mu$ < 75. The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true? A) The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042. B) The smallest value of $\alpha$ that would lead to the rejection of the null hypothesis is 0.042. C) The probability that the population mean is smaller than 75 is 0.042. D) None of the above statements is correct.

Quizplus · Accepted Answer

The p-value of 0.042 indicates the smallest significance level ($\alpha$) at which the null hypothesis would be rejected.

In Testing the Hypotheses H0 μ\muμ = 75 H1 μ\muμ < 75 the P-Value Is Found to Be 0

In Testing the Hypotheses H₀ $\mu$ = 75
H₁ $\mu$ < 75
the P-Value Is Found to Be 0