You wish to test the following claim (Ha) at a significance level of α = 0.01. For the context of this problem, let H0 represent the null hypothesis and H1 represent the alternative hypothesis, where the first data set represents the pre-test and the second data set represents the post-test:
H0: μd = 0
H1: μd ≠ 0
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 22 subjects. The average difference (post - pre) is d = 16.7 with a standard deviation of the differences of s = 43.6.
What is the test statistic for this sample? (Report answer accurate to three decimal places) Test statistic:
What is the P-value for this sample? (Report answer accurate to four decimal places) P-value:
The p-value is less than (or equal to) α, greater than α, or equal to α.
This test statistic leads to a decision to reject the null hypothesis, accept the null hypothesis, or fail to reject the null hypothesis.
As such, the final conclusion is that:
- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
- The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.