Appendix E: Solution Sheets

Class Time: __________________________
Name: _____________________________________

1. H₀: _______
2. H_a: _______
3. In words, CLEARLY state what your random variable X ¯ or P ′ represents.
4. State the distribution to use for the test.
5. What is the test statistic?
6. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
7. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
   1. Alpha: _______
   2. Decision: _______
   3. Reason for decision: _______
   4. Conclusion: _______
9. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.

Class Time: __________________________
Name: _____________________________________

1. H₀: _______
2. H_a: _______
3. In words, clearly state what your random variable X ¯ 1 − X ¯ 2 , P ′ 1 − P ′ 2 or X ¯ d represents.
4. State the distribution to use for the test.
5. What is the test statistic?
6. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
7. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
   1. Alpha: _______
   2. Decision: _______
   3. Reason for decision: _______
   4. Conclusion: _______
9. In complete sentences, explain how you determined which distribution to use.

Class Time: __________________________
Name: ____________________________________

1. H₀: _______
2. H_a: _______
3. What are the degrees of freedom?
4. State the distribution to use for the test.
5. What is the test statistic?
6. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
7. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
   1. Alpha: _______
   2. Decision: _______
   3. Reason for decision: _______
   4. Conclusion: _______

Class Time: __________________________
Name: ____________________________________

1. H₀: _______
2. H_a: _______
3. df(n) = ______ df(d) = _______
4. State the distribution to use for the test.
5. What is the test statistic?
6. What is the p-value?
7. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
   1. Alpha: _______
   2. Decision: _______
   3. Reason for decision: _______
   4. Conclusion: _______