Students enrolled in an introductory statistics course at a university were asked to take a survey that indicated whether the student's learning style was more visual or verbal. Each student received a numerical score ranging from -11 to +11. Negative scores indicated a visual learner, and positive scores indicated a verbal learner. The closer the score was to -11 or +11, the stronger the student's inclination toward that learning style. A score of 0 would indicate neutrality between visual or verbal learning. For the 36 students who took the survey, the mean score was -2.244, and the standard deviation was 4.788.
1. State the null and alternative hypotheses for testing whether the mean score (among all students at this university) differs from 0.
Null Hypothesis: µ =0
Alternative Hypothesis: µ ≠ 0
2. Calculate the value of the t-test statistic for the hypotheses stated in question 1.
T= -2.244/(4.788/√36) = -2.812
3. Determine the p-value of the test as accurately as possible.
p-value = .0025
4. Summarize the conclusion that you would draw from this test.
5. Comment on whether the technical conditions of this t-test are satisfied.
I am not sure on my answer for #3, or how to proceed on #4 and 5, please advise.