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A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of...

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Statistics

A clinical trial isconducted to compare an experimental medication to placebo toreduce the symptoms of asthma. Two hundred participants areenrolled in the study and randomized to receive either theexperimental medication or placebo. The primary outcome isself-reported reduction of symptoms. The data are recorded asfollows.

Change in Symptoms

Treatment

Much Worse

Worse

No change

Better

Much Better

Experimental

11

18

36

29

11

Placebo

13

23

40

11

8

Is there a differencein change in symptoms by treatment group? Run the appropriate testat a 5% level of significance.

Answer & Explanation Solved by verified expert
4.4 Ratings (602 Votes)

Answer in in detail below. please let me know in case you've doubts.

We will perform a Chi-Square test of independence between the treatment and change in symptoms variables.

Here, the contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell.

Below are :

Chi-square statistic, p-value and statement of significance appear beneath the table.

Results
MuchWorse Worse NoChange Better MuchBetter Row Totals
Experimental 11  (12.60)  [0.20] 18  (21.52)  [0.58] 36  (39.90)  [0.38] 29  (21.00)  [3.05] 11  (9.98)  [0.11] 105
Placebo 13  (11.40)  [0.22] 23  (19.48)  [0.64] 40  (36.10)  [0.42] 11  (19.00)  [3.37] 8  (9.02)  [0.12] 95
Column Totals 24 41 76 40 19 200  (Grand Total)


The chi-square statistic is 9.0833.

The p-value is .05905.

The result is not significant at p < .05.

Answer: Since the p-value is NOT less than .05 it means that three is NO difference in change symptoms by treatment groups
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