From bellow data: 1) state the null and alternative hypotheses for the study. 2) calculate the " t test statistic" for the hypothesis test 3) find p value 4) write conclusion to your hypothesis test

Consider the study from Question 4: Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. In a study to determine whether the use of eye grease causes a reduction in glare, 16 students took a test of sensitivity to contrast after three hours facing into bright sun. Each student performed this test both with and without eye grease, on separate days and in randomized order. Sensitivity to contrast is a characteristic of vision that is reduced by exposure to glare, and is measured by a numeric score with no units. We want to test whether there is evidence that sensitivity to contrast increases when grease is applied under the eyes. Summary Statistics With Grease Without Grease Difference Sample size 16 16 16 Mean 2.103 2.002 0.101 Standard Deviation 0.301 0.405 0.226 -20