You wish to test the following claim (H) at a significance level of a = 0.002. For the context of this where the first data set represents group 1 and the second data set problem, =- represents group 2. Ho: P=0 H:0 You believe the population of differences is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Group 1 Group 2 16.6 70.8 32.8 23 18.3 15.4 26.7 19.8 2.4 25.3 36 35.2 7 -61.1 15.3 -17.1 20 59.1 13 -55.1 a) What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) p-value= c) The p-value is... O less than (or equal to) a O greater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e) 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. O 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. O The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. O 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. Calculator