Hypothesis Testing is presented and graded using 4 steps.  If a hypothesis test question is worth 8 points the grading is :
Step 1:  4 points.
Step 2:  1 point.
Step 3:  1 point.
Step 4:  2 points.

Hypothesis Testing (Four Steps)

Step 1:
Translate the claim into a hypothesis statement.  Assign the claim to one of the following symbols:

=, , > , <, < , >.

Label either the Null Hypothesis, H0, or the Alternate Hypothesis, H1, as the claim.

Choose from one of the following three scenarios.

Case 1
  H0: µ = #
  H1: µ #
Case 2
H0: µ > #
   (or H0: µ = #)
H1: µ < #
Case 3
H0: µ < #
   (or H0: µ = #)
H1: µ > #

Each case is an unbreakable package.  The symbols, =, , > , <, < , >, cannot be combined in any other combination or with different diagrams.

Step 2:
Use the level of significance, , to determine the size (area) of the "Reject H0" region.

If H0 = #, 
then the size (area) of each "Reject H0" region is / 2.  Label on the diagram.  
Note:  The level of significance is usually given as part of the problem. In situations
           where it is not provided,  use = 0.05 as the default value.
Note:  In problems (tests of the standard deviation) where your calculator does not
           have the appropriate program, a critical value, a value read from the
           appropriate table, will separate the "Reject H0" region from the "Fail to
           Reject H0" region. 

Step 3:
Use your calculator and the appropriate test to calculate the test statistic and its corresponding p value.  The test statistic is used to determine which test to run.  The p value is the probability of the sample happening given that the Null Hypothesis is true.  For each case, the p value is:

For Case 1 (H0 = #):  Twice the area to the left of a negative z-score or twice the area to
                               the right of a positive z score.

For Case 2 (H0 > #):  The area to the left of the z score.

For Case 3 (H0 < #):  The area to the right of the z score.

On the diagram, compare the p value to the level of significance.  If the p value falls within the "Reject H0" region, then reject the Null Hypothesis, H0.
Note:  In problems (tests of the standard deviation) where your calculator does not have
           the appropriate program, a test statistic, a value calculated from a formula,
           will be found.  If the p value falls within the "Reject H0" region, then reject the
           Null Hypothesis, H0.

Step 4:
Make two statements.
1.  Did you "Reject" or "Fail to Reject" the Null Hypothesis, H0.  
2.  Does the data appear to support or refute the claim?