In testing the hypothesis H₀: μ = 100 vs.H₁: μ 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: μ = 100 vs.H₁: μ > 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, assuming the null hypothesis that the population mean is 100, is true.

In Testing the Hypothesis H0: μ = 100 Vs

In Testing the Hypothesis H₀: μ = 100 Vs