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

Multiple Choice

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.