In testing the hypothesis H₀: $\mu$=100 vs.H₁: $\mu$ 100,the p-value is found to be 0.074,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 0.074. B) The probability of observing a sample mean smaller than 105 from a population whose mean is 100 is 0.074. C) The probability that the population mean is larger than 100 is 0.074. D) None of these choices.

Question

In testing the hypothesis H₀: $\mu$=100 vs.H₁: $\mu$> 100,the p-value is found to be 0.074,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 0.074. B) The probability of observing a sample mean smaller than 105 from a population whose mean is 100 is 0.074. C) The probability that the population mean is larger than 100 is 0.074. D) None of these choices.

Quizplus · Accepted Answer

The p-value of 0.074 indicates the probability of observing a sample mean at least as large as 105 from a population with a mean of 100.

In Testing the Hypothesis H0 μ\muμ =100 VsH1 μ\muμ > 100,the P-Value Is Found to Be 0

In Testing the Hypothesis H₀ $\mu$ =100 VsH₁ $\mu$ > 100,the P-Value Is Found to Be 0