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Hello Professor i have a question for number 15 on the homework section 8.3. it is asking for the final conclusion, but only gives a claim, no test that or any other info, how do you get the final conclusion with just the claim?

Hi Allison,

In those problems, they tell you the initial conclusion for the test. For example, if your claim is that the mean is greater than 57 and it says the initial conclusion is to reject the null hypothesis, we know we should support the claim. Here is why:

Claim: µ > 57

Because of its symbol (>), we know the claim is an alternative hypothesis. With alternative hypotheses, we always use language that says, "support" or "don't support." If the claim was a null hypothesis, we'd always use language that says, "reject" or "don't reject."

There are only 2 initial conclusions possible: 1) Reject Ho and Support Ha  2) Do not reject Ho and Do not support Ha.

Since our example said we reject the null, we were dealing with initial conclusion 1 from above. That initial conclusion says we will support the alternative. Our claim is the alternative, so we support the claim.

If this doesn't make sense, let me know, and I will create a video.

Professor McGuckian