A new diet has begun to gain popularity with college age students. I want to test the diet to determine if it is, in fact, effective at helping students lose weight. I take a sample of 200 students and ask them to participate on the diet for 6-weeks. Each student is weighed at the start of the study. At the end of six weeks, the students weight is measured again. A paired analysis seems appropriate for the data collected. I entered the data into Statistix and the following printout was generated:
Paired Test for Beginning - End
Null Hypothesis: difference = 0
Alternative Hyp: difference ≠ 0
Mean 1.1053
Std Error 0.4225
Lower 95% CI 0.2723
Mean - H0 1.1053
Upper 95% CI 1.9384
T 2.62
DF 199
P 0.0096
Cases Included 200 Missing Cases 0
What rejection region would you use if you wanted to determine if the diet was effective at helping students lose weight, on average. Use alpha = .05.
Reject Ho if Z > 1.96 or Z < -1.96
Always Reject Ho
Reject Ho if Z > 1.645
Reject Ho if Z < -1.645