# Hypothesis: t-statistic and p-value

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 0.05 level of significance with a p-value for the sample of 0.105.

2. A hypothesis test at the 0.025 level of significance with a p-value for the sample of 0.002.

3. A two-tailed hypothesis test at the 0.05 level of significance where the initial probability calculated for the test statistic is 0.035. (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 2.306 and a test statistic for the sample of 1.652.

6. A one tailed hypothesis test with a critical value of -1.796 and a test statistic for the sample of -.843.

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 = 1.57 based on a sample larger than 50. You may assume the data is normally distributed.

8. A two-tailed test with t = -2.552 based on a sample of size 20. You may assume the data is normally distributed. (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  = 0.025. You may assume the value of  is known.

10. A left-tailed test with  = 0.10, unknown , and a sample of size 35. You may assume the data is normally distributed.

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