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 (&lt; 37 weeks) or not. The data are shown below. 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 each of the following1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.Preterm Delivery Yes No Total Experimental Drug 73340 Standard Drug 133245 Placebo 171835 Total 3783120

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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 (&amp;lt; 37 weeks) or not. The data are shown below. 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 each of the following1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.Preterm Delivery Yes  No  Total  Experimental Drug 73340 Standard Drug 133245 Placebo 171835 Total 3783120

Spandri3uv · Accepted Answer

For the given data, the chi-square test for association is appropriate.Null Hypothesis:H0: There is no significant difference in the proportion women delivering preterm among the three treatment groups.Alternative Hypothesis:H1: There is significant difference in the proportion women delivering preterm among the three treatment groups.Chi-square test is appropriate in this situation.Decision rule:If p-value ≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis.Procedure for calculating chi-square test statistic using MegaStat:1. Go to MegaStat &amp;gt; Chi-square/Crosstab &amp;gt; Contingency table.2. Select the input range of the data as “$A$1:$C$4”.3. In output options, Select expected values, Chi-square and (O-E)^2/E.4. Click ok.Chi-square Contingency Table for Independence Yes  No  Total  Experimental Drug  Observed 73340 Expected 12.3327.6740.00(O−E)2/E2.311.033.33 Standard Drug  Observed 133245 Expected 13.8831.1345.00(O−E)2/E0.060.020.08 Placebo  Observed 171835 Expected 10.7924.2135.00(O−E)2/E3.571.595.16 Total  Observed 3783120 Expected 37.0083.00120.0(O−E)2/E5.932.648.588.58 chi-square2 df0.0137 p-valueFrom the output,Chi-square is 8.58.Degree of freedom is 2.Here, p-value is 0.0137, which is less than the level of significance (0.05). Thus, reject the null hypothesis. Thus, the conclusion is that, there is significant difference in the proportion women delivering preterm among the three treatment groups.

A clinical trial is run to investigate the effectiveness of an experimental drug in reducing preterm

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