A government agency funds research on cancer. The agency funds 25 research projects, all of which are testing various drugs to see if they are effective in reducing brain tumors. One of the projects (project number 12) finds that the drug they are studying significantly reduces the size of tumors with a P-value of 0.028. The other 24 projects found no significant effects (P-values all greater than 0.05) of the drugs that they studied. Is it proper to conclude that the drug in project number 12 is effective in reducing the size of brain tumors?
A) Yes. The sample size of 25 is not too small.
B) Yes. Both the P-value is below 0.05, and the sample size of 25 is not too small.
C) Yes. The P-value is below 0.05.
D) None of the above.
Correct option:
C) Yes. The P-value is below 0.05.
Explanation:
For Project No. 12:
H0: Null Hypothesis: The drug in project number 12 is not effective in reducing the size of brain tumors
HA:Alternative Hypothesis: The drug in project number 12 is effective in reducing the size of brain tumors.
Since p value = 0.028 is less than = 0.05, the difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that the drug in project number 12 is
effective in reducing the size of brain tumors.
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