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

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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	11Â Â (12.60)Â Â [0.20]	18Â Â (21.52)Â Â [0.58]	36Â Â (39.90)Â Â [0.38]	29Â Â (21.00)Â Â [3.05]	11Â Â (9.98)Â Â [0.11]	105
Placebo	13Â Â (11.40)Â Â [0.22]	23Â Â (19.48)Â Â [0.64]	40Â Â (36.10)Â Â [0.42]	11Â Â (19.00)Â Â [3.37]	8Â Â (9.02)Â Â [0.12]	95



Column Totals	24	41	76	40	19	200Â Â (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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	Change in Symptoms
Treatment	Much Worse	Worse	No change	Better	Much Better
Experimental	11	18	36	29	11
Placebo	13	23	40	11	8