You wish to test the following claim ( H a ) at a significancelevel of ? = 0.10 . For the context of this problem, ? d = ? 2 ? ?1 where the first data set represents a pre-test and the seconddata set represents a post-test. H o : ? d = 0 H a : ? d < 0 Youbelieve the population of difference scores is normallydistributed, but you do not know the standard deviation. You obtainpre-test and post-test samples for n = 15 subjects. The averagedifference (post - pre) is ¯ d = ? 15.1 with a standard deviationof the differences of s d = 41.8 . What is the test statistic forthis sample? (Report answer accurate to three decimal places.) teststatistic = What is the p-value for this sample? (Report answeraccurate to four decimal places.) p-value = The p-value is... lessthan (or equal to) ? greater than ? This test statistic leads to adecision to... reject the null accept the null fail to reject thenull As such, the final conclusion is that... There is sufficientevidence to warrant rejection of the claim that the mean differenceof post-test from pre-test is less than 0. There is not sufficientevidence to warrant rejection of the claim that the mean differenceof post-test from pre-test is less than 0. The sample data supportthe claim that the mean difference of post-test from pre-test isless than 0. There is not sufficient sample evidence to support theclaim that the mean difference of post-test from pre-test is lessthan 0