Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Introductory Statistics 2e

9.6 Hypothesis Testing of a Single Mean and Single Proportion

Introductory Statistics 2e9.6 Hypothesis Testing of a Single Mean and Single Proportion

Stats Lab

Hypothesis Testing of a Single Mean and Single Proportion

Class Time:

Names:

Student Learning Outcomes
  • The student will select the appropriate distributions to use in each case.
  • The student will conduct hypothesis tests and interpret the results.

Television SurveyIn a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower.

  1. H0: _____________
  2. Ha: _____________
  3. In words, define the random variable. __________ = ______________________
  4. The distribution to use for the test is _______________________.
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
      Figure 9.15
    2. Determine the p-value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.

Language SurveyAbout 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%.

  1. H0: ___________
  2. Ha: ___________
  3. In words, define the random variable. __________ = _______________
  4. The distribution to use for the test is ________________
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
      Figure 9.16
    2. Determine the p-value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.

Jeans SurveySuppose that young adults own an average of three pairs of jeans. Survey eight people from your class to determine if the average is higher than three. Assume the population is normal.

  1. H0: _____________
  2. Ha: _____________
  3. In words, define the random variable. __________ = ______________________
  4. The distribution to use for the test is _______________________.
  5. Determine the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    1. Graph:
      Blank graph with vertical and horizontal axes.
      Figure 9.17
    2. Determine the p-value.
  7. Do you or do you not reject the null hypothesis? Why?
  8. Write a clear conclusion using a complete sentence.
PreviousNext
Order a print copy
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-2e/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-2e/pages/1-introduction
Citation information

© Jul 18, 2024 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.