Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Introductory Statistics

E | Solution Sheets

Introductory StatisticsE | Solution Sheets

Hypothesis Testing with One Sample

Class Time: __________________________
Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, CLEARLY state what your random variable X ¯ X ¯ or P 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.
    This is the frequency curve of a normal distribution with blank horizontal and vertical axes.
    Figure E1
  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.
    Figure E2

Hypothesis Testing with Two Samples

Class Time: __________________________
Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, clearly state what your random variable X ¯ 1 X ¯ 2 X ¯ 1 X ¯ 2 , P 1 P 2 P 1 P 2 or X ¯ d 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.
    Figure E3
  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.
    Figure E4
  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.
    Figure E5
  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: _______
Order a print copy

As an Amazon Associate we earn from qualifying purchases.

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
Citation information

© Jun 23, 2022 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.