The survival rate of a cancer using an existing medication isknown to be 30%. A pharmaceutical company claims that the survivalrate of a new drug is higher. The new drug is given to 15 patientsto test for this claim. Let X be the number of cures out of the 15patients. Suppose the rejection region is {8 }.?X a. State thetesting hypotheses. b. Determine the type of error that can occurwhen the true survival rate is 25%. Find the error probability. c.Determine the type of error that can occur when the true survivalrate is 30%. Find the error probability. d. Determine the type oferror that can occur when the true survival rate is 40%. Find theerror probability. e. What is the level of significance?
