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

question 91

Short Answer

In testing the hypotheses H0 : μ\mu = 75.
H1 : μ\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 α 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. \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}

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