A clinical trial is run to investigate the effectiveness of an experimental drug in reducing preterm 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 preterm (< 37 weeks) or not. The data are shown below.
|
Preterm Delivery
|
Experimental Drug
|
Standard Drug
|
Placebo
|
|
Yes
|
17
|
23
|
35
|
|
No
|
83
|
77
|
65
|
Is there a statistically significant difference in the proportions of women delivering preterm among the three treatment groups? Run the test at a 5% level of significance. Give null and alternative hypotheses, test statistic, and conclusion to receive full credit.