Two drugs (A, B) are compared for the medical treatment of warts. Each subject r

Question

Two drugs (A, B) are compared for the medical treatment of warts. Each subject received both treatments. The treatment results based on 199 individuals show that for 89 individuals both treatments are effective; for 90 individuals both treatments are ineffective; for 4 individuals drug A is effective, whereas drug B is ineffective; for 16 individuals drug B is effective, whereas drug A is ineffective. At the 0.05 significance level, conduct the appropriate hypothesis test to determine whether there is any difference in efficacy when comparing the two drugs.

Explanation / Answer

H0: there is no difference in efficacy when comparing the two drugs.

H1: there is any difference in efficacy when comparing the two drugs.

Given los be alpha 5%

The observed Frequencies are

The Expected frequencies are

The test statistic of chisquare value is calculated as follows

Degrees of freedom: 1

Test Statistic, X^2: 121.3961
Critical X^2:        3.841456
P-Value:             0.0000

Here P - value < alpha (0.050 and chisquare value > chisqure critical value, we reject H0.

Thus we conclude that, there is difference in efficacy when comparing the two drugs.

Drug B Drug A Effective Ineffective Total Effective 81 4 85 Ineffective 16 90 106 Total 97 94 191

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