Question

Q3. A clinical trial is run to investigate the effectiveness of an experimental drug in reducing pre-term delivery to a drug considered standard care and to placebo. Pregnant women are enrolled and randomly assigned to receive either the experimental drug, the standard drug, or placebo. Women are followed through delivery and classified as delivering pre-term (< 37 weeks) or not. The data are shown below.

Pre-term Delivery	Experimental Drug	Standard Drug	Placebo
Yes	20	32	36
No	80	68	64

1. Is there a statistically significant difference in the proportions of women delivering pre-term among the three treatment groups? Run the test at a 5% level of significance. (Hint: χ² test) (10 points)

        (1 point) Ho:                                                        VS   H1:

         Compute: χ² (7 points):

        P-value (1 point)

         Conclusion (1 point)

                       Accept H0                                                                      Reject H0         

Answer 1

Ho: There is no significant difference in the proportions of women delivering pre-term among the three treatment groups.

H1: There is a significant difference in the proportions of women delivering pre-term among the three treatment groups.