Answer:
If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.
If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.
Explanation:
We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.
So, Null hypothesis,
= New drug is unsafe
Alternate Hypothesis,
= New drug is safe
Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that :
There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.
And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that :
There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.