A Paired T-Test (no need to capitalize) takes the difference of the means from two samples and produces a t-value from this information. So basically a t-test will measure the difference between two samples. Not quite correct. One has to make a distinction between an independent samples t-test and a paired samples t-test. Also, the test is not really "measuring" anything. A hypothesis test gives us a way to make decisions based on understanding whether an observation is statistically significant or could have arisen by chance.

A t-test is variation  type of a hypothesis test. The first step in this test would be to state the null and alternate hypothesis. As this is a t-test the equations will be different. Different from what?

null hypothesis:  .  The null is stated as the average of the means or μ. But what is μ measuring here?

alternative hypothesis:      The alternate hypothesis is the average of the means of what we are trying to prove. The alternative hypothesis is a research question, a full sentence and not just a single number.

The next step would be to check the conditions as we would in a normal hypothesis test however there is one different condition instead of success/failure we check the nearly normal condition, otherwise the other two conditions are the same. You are confused about the terminology. The test for proportions we learned in class is just one of many hypothesis tests. It is not "the" quintessential hypothesis test. So it makes no sense to compare the paired t-test to it. Just state what is true for the paired t-test. The next step you would take would be to calculate your t-value if you are doing it by hand for that you would use this equation. Otherwise you would compute your t-value using SPSS, the steps for that are listed below.  So why not just say, "Compute the test statistic." At this point in the page, it doesn't matter that some people might use SPSS and some might do it by hand.

Depending on results from your test you would either choose to reject the null value or if there is insufficient evidence then you would not reject the null value.  Be more specific about what this means for a paired t-test.

Overall, you just need to follow the rubric.

The formatting of the section below is not correct. Please go back and read the directions and look at the sample page I've provided (Clustered bar graph).

 To conduct a Paired Sample T-Test in SPSS follow these simple steps:

Step 1: Go to the top of the screen and mouse over the word Analyze.  No need to be so specific about using the mouse. Again, look at the example I gave you. 

Step 2: Scroll through the list and find Compare Means,  from this another menu drops down and you are going to select Paired Samples T-Test. 

Step 3: A menu will open with your data in a white box to the left, and another menu to drag and drop your variables into. With this menu open drag and drop the two variables you would like to compare in the same row. What about the order?

Step 4: Once you have done this you have the ability to go to the Options menu in the top right corner to change your Confidence interval Percentage.  It needs to be said that this is optional. (It's a bit outside of the scope of this page to worry too much about confidence intervals).

Step 5: Now that we have done everything, we are free to press OK and let SPSS perform the T-Test. SPSS should bring a new window displaying the results of the Sample T-Test. 

Congratulations you have completed a Paired Sample T-Test!