Question

A new drug has been developed to treat a particular condition, and it is alleged to be more effective than traditional treatment. An experiment will be conducted to test whether the claim is true. To perform the hypothesis test, a 99% confidence level is selected for the hypothesis test. The new drug will be administered to a sample of 200 individuals with the condition, selected at random. Another 300 individuals are randomly selected to receive the traditional treatment.

Of the 200 individuals treated with the new drug, 120 were completely cured. Of those treated with the traditional method, 220 were completely cured.

a. Is there statistical evidence to support the claim that the new drug is more effective? Take the proper test and finish

b. If you were a patient of this condition, which treatment would you select? Justify your answer

Answer 1

we have to test that the new drug is more effective than traditional drug.

let new drug group is 1st group so

sample size for 1st group=n1=200 no.of cured=x1=120

let traditional drug group is 2nd group so

sample size for 2nd group=n2=300 no.of cured=x2=220

now sample proportions are

a.

we have to test that

pooled proportion is given by

now test statistics is given by

P-Value=P(Z>-3.053)=1

since P Value almost 1 that means we failed to reject H0,so new drug is not more effective that traditional one

b)

since traditional drug have more cured proportion so i will prefer traditional drug.