Solution Sheets

Hypothesis Testing with One Sample

Class Time: __________________________
 Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, CLEARLY state what your random variable \overline{X} or {P}^{\prime } 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.
    This is the frequency curve of a normal distribution with blank horizontal and vertical axes.
  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.
    This is the frequency curve of a normal distribution with blank horizontal and vertical axes.

Hypothesis Testing with Two Samples

Class Time: __________________________
 Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, clearly state what your random variable {\overline{X}}_{1}-{\overline{X}}_{2}, {{P}^{\prime }}_{1}-{{P}^{\prime }}_{2} or {\overline{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.
    This is the frequency curve of a normal distribution with blank horizontal and vertical axes.
  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.

The Chi-Square Distribution

Class Time: __________________________
 Name: ____________________________________

  1. H0: _______
  2. Ha: _______
  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.
    This is a right-skewed frequency curve with blank horizontal and vertical axes.
  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: _______

F Distribution and One-Way ANOVA

Class Time: __________________________
 Name: ____________________________________

  1. H0: _______
  2. Ha: _______
  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.
    This is an unlabeled number line.
  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: _______

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MATH 1260: Significant Statistics Copyright © 2020 by John Morgan Russell, OpenStaxCollege, OpenIntro is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.

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