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

Short Answer

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? $\begin{array}{|l|l|}\hline A.&\text {The probability of observing a sample mean at most as large as 75 from a population }\\&\text { whose mean is 100 is 0.042 }\\\hline B.&\text {The smallest value of \( \alpha \) that would lead to the rejection of the null hypothesis is 0.042 . }\\\hline C.&\text {The probability that the population mean is smaller than 75 is 0.042 . }\\\hline D.&\text {None of the above statements is correct. }\\\hline \end{array}$