In Testing the Hypotheses H0:  = 75

question 77

Multiple Choice

In testing the hypotheses H0:  = 75.
HA:  < 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  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.