Comparing two means (6)

In the last exercise you did a student t test. If you want to inspect the output again, you can copy the following in your console: t.test(hours ~ gender, data = sport, conf.level = 0.99). Given that we did a two-sided hypothesis test where H0 stated that there were no gender differences in hours of sport per week and H1 indicated that there were gender differences in hours of sport per week, how would you answer the following questions:

How would you interpret the p value of the t test?
How would you interpret the confidence interval t test?

Possible answers

Given that the null hypothesis is true, there is a probability of 0.00001611 (1.611e-05) of obtaining a result equally or more extreme. We are 99% confident that the population difference in hours of sport per week between males and females is between -2.243203 and -0.578739 hours per week.

Given that the null hypothesis is false, there is a probability of 0.00001611 (1.611e-05) of obtaining a result equally or more extreme. We are 99% confident that the population difference in hours of sport per week between males and females is between -2.243203 and -0.578739 hours per week.

Given that the null hypothesis is true, there is a probability of 0.00001611 (1.611e-05) of obtaining a result equally or more extreme. We are 99% confident that the sample difference in hours of sport per week between males and females is between -2.243203 and -0.578739 hours per week.

Exercise

Comparing two means (6)

Instructions

Possible answers