Assignment
1. Deciding on a T-Test: The researcher wants to compare the responses of the individuals to the first video by genders, should they use a pooled or independent T-test?
Try to answer the question above with a hypothesis test. What is your null and what is your alternative?
Use the appropriate test to answer
(a). What is your p-value? What is the verdict?
2. Executing the T-Test: The researcher then wants to find if there is a difference in the number of correct answers for video 1 for the two genders, using a T-test comparison.
What is your null and alternative hypothesis?
Create some summary statistics, for the variable Vid1, by the two genders.
What are some assumptions that need to be checked for the process to work?
Test if the variable Vid1 is normally distributed for the two genders respectively.
Use SAS or R to run the appropriate T-test, present your T score and the p-value.
What is your verdict?
3. Paired T-Test: Continuing question 1, the research wants now to find if the two videos produce statistically similar results.
What is the appropriate test? What is the null and what is the alternative hypothesis?
What are the assumptions for this test?
Run the appropriate test in R or SAS. What is the p-value?
What is your verdict?
4. Proportions test: The researcher now wants to find if the ratio of kids is the same among the two genders.
Create a table with the variables Gender and Char, to find the proportion of Kids vs Not Kids for both genders.
Set up a hypothesis test. What is your null and what is your alternative hypothesis?
What are the assumptions for this test? Check the ones you can check and mention the ones you cannot.
Compute the corresponding statistic and the p-value. What is your verdict?
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