Question: (3points) In testing the hypothesis

\[\begin{aligned} & {{H}_{0}}:\mu =100 \\ & {{H}_{A}}:\mu >100 \\ \end{aligned}\]

The p-value is found to be .0738, and the sample mean is 105. Which of the following statements is true?

a) The probability of observing a sample mean at least as large as 105 from a population whose mean is 100 is .0738.

b) The probability of observing a sample mean smaller than 105 from a population whose mean is 100 is .0738

c) The probability that the population mean is larger than 100 is .0738

d) The probability of observing a sample mean at least as large as 100 from a population whose mean is 105 is .0738.

e) None of the above statements is correct