Please answer question: The survival rate of a cancer using an existing medicati

Question

Please answer question:

The survival rate of a cancer using an existing medication is known to be 30%. A pharmaceutical company claim that the survival rate of a new drug if higher. The new drug is given to 15 patients to test for the claim. Let X be the number of cures out of the 15 patients. Suppose the rejection region is {X>=8}.

a. State the testing hypotheses.

b. Determine the type of error that can occur when the true survival rate is 25%. Find the error probability.

c. Determine the type of error that can occur when the true survival rate is 30%. Find the error probability.

d. Determine the type of error that can occur when the true survival rate is 40%. Find the error probability.

e. What is the level of significance?

Explanation / Answer

Part-a Null hypothesis p<=0.30 and alternative Ha: p>0.30

PArt-b

If true survival rate is 25% then rejecting the null hypothesis may cause Type-I error

Part-c

If null hypothesis is rejcted then Type-I error may occur

Part-d

If true survival rate is 40% then rejecting the accepting the null hypothesis may cause Type-II error

Part-e

LEvel of signifcance P(X>=8)=0.05 using excel fucntion =1-BINOMDIST(7,15,0.3,TRUE)

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