In testing the hypothesis H ₀: m = 100 vs. H ₁: m 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 H ₀: m = 100 vs. H ₁: m > 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 in hypothesis testing represents the probability of observing a sample statistic as extreme as the test statistic, given that the null hypothesis is true. In this case, it means the probability of observing a sample mean of 105 or more from a population with a mean of 100 is 0.074.

In Testing the Hypothesis H 0: M = 100 Vs

In Testing the Hypothesis H ₀: M = 100 Vs