Please assist with the Inference question via photo above and accompanying link.

Specifically question 3 (a-e).

***PLEASE KEEP IN MIND AND OF NOTE--> This is (T-critical Value that I am looking for. NOT the Z-Critical Value). *** & SHOW ALL WORK! THANK YOU!

As an example, degree's of freedom have been taught in my class as 'n-1'. I was never taught--> 'df=n1?+n2-2' ??

?

Also, please disregard the 'Means' I've initially produced to the Right. I think those are off...

Link:

https://docs.google.com/spreadsheets/d/e/2PACX-1vTf6uQyLx1-vkV0d6A8y2m7BABk8IHPAOYE5cjY4bTuSy1e8fbyAsW1S5sSe_AI9g/pub?output=xlsx

Source:

The data set consists of a random sample of 1728 homes in

Saratoga County, NY taken from public records.

Inference 3. It has been hypothesized that houses with fireplaces are larger than houses without fireplaces. Perform a hypothesis test at a = .05 to test the claim that houses WITH fireplaces have more square footage than houses WITHOUT fireplaces. a. (4 points) Write the hypotheses: Ho: Ha: b. (3 points) What is the value of your test statistic? c. (3 points) What is your P-value? d. (3 points) Test result (check correct response): REJECT THE NULL HYPOTHESIS FAIL TO REJECT THE NULL HYPOTHESIS e. (3 points) Write your conclusion about the hypothesis in complete sentences