In: Statistics and Probability
A very large study showed that aspirin reduced the rate of first heart attacks by 35% .A pharmaceutical company thinks it has a drug that will be more effective than aspirin, and plans to do a randomized clinical trial to test the new drug. Complete parts a through d below.
a) What is the null hypothesis the company will use?
A.The new drug is not more effective than aspirin.
B.The new drug is more effective than aspirin.
C.The new drug is as effective as aspirin.
D.The new drug is less effective than aspirin.
b) What is their alternative hypothesis?
A.The new drug is more effective than aspirin.
B.The new drug is less effective than aspirin.
C.The new drug is as effective as aspirin.
D.The new drug is not more effective than aspirin.
c) The company conducted the study and found that the group using the new drug had somewhat fewer heart attacks than those in the aspirin group. The P-value from the hypothesis test was 0.46.
What do you conclude?
A.There is not sufficientis not sufficient evidence to conclude that the alternative hypothesis is true because the P-value was so small.
B.There is evidence to conclude that the alternative hypothesis is true because the P-value was so large.
C.There is evidence to conclude that the alternative hypothesis is true because the P-value was so small.
D.There is not sufficientis not sufficient evidence to conclude that the alternative hypothesis is true because the P-value was so large.
d) What would you have concluded if the P-value had been 0.004?
A.There is not sufficientis not sufficient evidence to conclude that the alternative hypothesis is true because the P-value was so large.
B.There is evidence to conclude that the alternative hypothesis is true because the P-value was so small.
C.There is evidence to conclude that the alternative hypothesis is true because the P-value was so large.
D.There is not sufficientis not sufficient evidence to conclude that the alternative hypothesis is true because the P-value was so small.