# Hypothesis Testing: Critical Values and Decision Making Problems

You will be asked to determine the correct decision (Reject Ho or Fail to Reject Ho) for each of the following tests of hypotheses.

1. A hypothesis test at the 0.025 level of significance with a p-value for the sample of 0.0075.

2. A hypothesis test at the 0.01 level of significance with a p-value for the sample of 0.0122.

3. A two-tailed hypothesis test at the 0.10 level of significance where the initial probability calculated for the test statistic is 0.047. (Don't forget to make the adjustment needed for the two tailed test.)

4. A two-tailed hypothesis test with critical values of ±2.33 and a test statistic for the sample of -2.56.

5. A one tailed hypothesis test with a critical value of 1.383 and a test statistic for the sample of 1.625.

6. A one tailed hypothesis test with a critical value of -1.648 and a test statistic for the sample of -1.023.

You will be asked to determine the correct prob-value in each of the following situations. You may assume data sets are normally distributed.

7. A right-tailed test with z = 1.43 based on a sample larger than 50.

8. A two-tailed test with t = -1.443 based on a sample of size 16. (To match my answer you will need to use Minitab to get this value.)

You will be asked to determine the correct critical value(s) in each of the following situations. You may assume data sets are normally distributed.

9. A two-tailed test with  = 0.10 a known value of .

10. A left-tailed test with  = 0.10, unknown , and a sample of size 23.

#### Solution Summary

The solution provides step by step method for the calculation of critical values and making decisions on hypothesis testing. Formula for the calculation and interpretations of the results are also included. This solution is provided in an attached Word document.