Im doing a study on hours of sleep for college males vs fema

I\'m doing a study on hours of sleep for college males vs females. The null hypothesis is: Male and female college students sleep the same amount of hours each night. The alternative hypothesis is: Male college students sleep a different amount of hours each night than female college students.

With hours from 30 males and 30 females, I used a 0.05 level of significance and did a two-tailed t-test. I got a p-value of .003 and a confidence interval of (-1.54, -0.3268). Can someone please tell me what the negative CI means, and how to word the results?

Solution

Negative CI only implies that the difference of true means is plausibly in this CI with 95% confidence, i.e, that the first mean is lower than the second mean by an amount in the range (0.3268 , 1.54) with 95% confidence.