Question

if your claim is in the alternative hypothesis and you fail to reject the null hypothesis, then your conclusion would be:
there is not sufficient sample evidence to support the original claim
the sample data support the original claim
there is not sufficient evidence to warrant rejection of the original claim
there is sufficient evidence to warrant rejection of the original claim

Explanation:

In hypothesis testing, if the claim is in the alternative hypothesis and we fail to reject the null hypothesis, it means we don't have enough sample evidence to support the alternative hypothesis (which is the original claim here). The first option "There is not sufficient sample evidence to support the original claim" matches this logic. The second option is wrong as failing to reject null doesn't support the alternative claim. The third option is for when the claim is in the null hypothesis. The fourth option is incorrect as we failed to reject null, so no evidence to reject the original claim (alternative) is not the case here.

Answer:

A. There is not sufficient sample evidence to support the original claim