A In this situation there is statistically significant evide

A) In this situation there is statistically significant evidence against the null hypothesis at the significance level of 1%.

B) At the significance level of 5%, the difference between the sample mean and the population mean hypothesized in the null hypothesis was great enough to conclude that it did not occur by chance.

C) The probability of a value of the test statistic at least as extreme as that observed in this study, assuming the null hypothesis is true, is 0.028.

D) Only B and C are both appropriate statements.

E) The statements in A, B, and C are all appropriate.

A test of significance was conducted in a study involving a random sample of 25 subjects. Based on the test result using a sample mean, x bar, it was determined that the associated P-value was equal to 0.028. Which of the following statements about this P-value is (are) TRUE? A) In this situation there is statistically significant evidence against the null hypothesis at the significance level of 1%. B) At the significance level of 5%, the difference between the sample mean and the population mean hypothesized in the null hypothesis was great enough to conclude that it did not occur by chance. C) The probability of a value of the test statistic at least as extreme as that observed in this study, assuming the null hypothesis is true, is 0.028. D) Only B and C are both appropriate statements. E) The statements in A, B, and C are all appropriate.

Solution

Answer: D) Only B and C are both appropriate statements.