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 statement is true. To perform the hypothesis test, a confidence level of 99s is selected for the hypothesis test. The new drug will be administered to a sample of 200 individuals with the condition, selected at random. An additional 300 individuals will be randomly selected and will be administer traditional treatment. Of ins 200 individuals treated with the new drug. 120 were completely cured. Of those treated with the traditional method, 220 were completely cured. 3. Is there statistical evidence to support the claim that the new drug is more effective? Carry out the appropriate test and conclude b. If you were a patient of this condition, what treatment would you select? Justify your answer

Answer 1

Given,

The proportion that is cured for traditional drug,

The proportion that is cured for new drug,

The hypothesis is,

we know that,

The corresponding p value is,

ASsiming that the level of significance = 1 - 0.99 = 0.1

Conclusion : SInce the p value is less than the level of significance,we rejecft the null hyporthesis and conclude that there us enough evidence to suggest that the new drug is more effective.

b)

I would choose the new treatment since the propotion of getting cured is very high in new treatment