Solve these 1 through 4 questions please

4. To test the null hypothesis that two population means satisfy p1 - p, by using matched pairs with two sample of size n, we require that n B 30 and n S N /20. Our test statistic TS is (i) where d is the average difference of the matched pairs with all subtractions done in the same order: rs sample data minus second sample data! and where 5.: is the sample standard deviation of the dierence: The degrees offreedom is do] - n l. (a) For a two-tailed test, we may compute ita/g - :tIan(o/2. dof) and check that the test-statistic falls in a tail. Or we may instead compute P - 2 t tcdf(|TS|, oo,dof) and check that P m '? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of signicance 0: - 0.05, using a two-tailed test