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Appendix E: Solution Sheets

Hypothesis Testing with One Sample

Class Time: __________________________
Name: _____________________________________

H₀: _______
H_a: _______
In words, CLEARLY state what your random variable $\bar{X}$ or $P^{'}$ represents.
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
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.
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: _______
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: _____________________________________

H₀: _______
H_a: _______
In words, clearly state what your random variable ${\bar{X}}_{1} - {\bar{X}}_{2}$ , ${P^{'}}_{1} - {P^{'}}_{2}$ or ${\bar{X}}_{d}$ represents.
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
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.
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: _______
In complete sentences, explain how you determined which distribution to use.

Class Time: __________________________
Name: ____________________________________

H₀: _______
H_a: _______
What are the degrees of freedom?
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
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.
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: ____________________________________

H₀: _______
H_a: _______
df(n) = ______ df(d) = _______
State the distribution to use for the test.
What is the test statistic?
What is the p-value?
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.
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: _______

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