A lab is comparing a test drug to a standard drug that is us

A lab is comparing a test drug to a standard drug that is useful to patients having high blood pressure. The standard therapy was administered to patients with comparable hypertension and the responses to therapy were classified into one of 4 response categories: Please show all work Marked decrease in blood pressure 50% Moderate decrease in blood pressure 25% Slight decrease in blood pressure 10% Stationary 15% The lab then conducted a clinical trial with a random sample of 200 patients with high blood pressure on the test drug. Observed cell counts for the four categories were 120, 60, 10 and 10. Is this the same distribution as presented for the standard drug? What test is appropriate for this problem? State the null and alternate hypotheses Find the expected cell counts Find the test statistic How many degrees of freedom will you use? Find the critical value Estimate the p-value. This is the probability of being more extreme (on the right side) then the test statistic. What is your conclusion?

Solution

A lab is comparing a test drug to a standard drug that is useful to patients having high blood pressure. The standard therapy was administered to patients with comparable hypertension and the responses to therapy were classified into one of 4 response categories: Please show all work Marked decrease in blood pressure 50% Moderate decrease in blood pressure 25% Slight decrease in blood pressure 10% Stationary 15% The lab then conducted a clinical trial with a random sample of 200 patients with high blood pressure on the test drug. Observed cell counts for the four categories were 120, 60, 10 and 10. Is this the same distribution as presented for the standard drug?

What test is appropriate for this problem?

State the null and alternate hypotheses

Null hypothesis: the distribution is same as presented for the standard drug

Alternate hypothesis: the distribution is not same as presented for the standard drug

Find the expected cell counts Find the test statistic

Goodness of Fit Test

observed

Expected cell counts

O - E

(O - E)