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# About: Hypothesis Testing of Single Mean and Single Proportion: Examples

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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 Name: Hypothesis Testing of Single Mean and Single Proportion: Examples ID: m17005 Language: English (en) Summary: This module provides examples of Hypothesis Testing of a Single Mean and a Single Proportion as a part of the Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. Subject: Mathematics and Statistics Keywords: elementary, statistics License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.25 (history) First publication date: Jun 6, 2008 5:39 pm -0500 Last revision to module: Jun 18, 2012 9:40 am -0500

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## Version History

 Version: 1.25 Jun 18, 2012 9:40 am -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Found a workaround to fix the missing parentheses in the PDF.` Version: 1.24 Jun 12, 2012 4:14 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Updated the graphs, updated the Type II error examples, corrected the definition of the p-value, added condition of normality.` Version: 1.23 Jun 10, 2012 4:42 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Minor edits.` Version: 1.22 Jun 7, 2012 10:37 am -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Updated graphs and changed "average" to "mean."` Version: 1.21 Jun 1, 2012 8:02 am -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Updated graphs and changed X to x where needed. Corrected a calculator instruction.` Version: 1.20 Aug 19, 2011 9:47 am -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Updated glossary item "Standard Deviation."` Version: 1.19 Aug 16, 2011 10:13 am -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples:Updated glossary item "Central Limit Theorem."` Version: 1.18 Aug 11, 2011 11:03 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Updated glossary item "Standard Deviation."` Version: 1.17 Aug 7, 2011 10:25 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Corrected note.` Version: 1.16 Aug 4, 2011 8:05 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Corrected alpha = 0.5 to alpha=0.05.` Version: 1.15 Aug 4, 2011 7:15 pm -0500 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Minor edit.` Version: 1.14 Mar 2, 2011 9:40 am -0600 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Added less than symbol to solution of Example 1 Problem 1.` Version: 1.13 Mar 2, 2010 4:11 pm -0600 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Example 3 Problem 1 Interpretation of the p-value: too out "pounds."` Version: 1.12 Feb 23, 2009 4:25 pm -0600 by Changes: `Changed U+02C9 macrons into U+00AF macrons.` Version: 1.11 Feb 21, 2009 10:28 am -0600 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: Added a space to glossary item "standard deviation." Cleaned up language in the summary of the module.` Version: 1.10 Jan 30, 2009 9:35 am -0600 by Changes: `Hypothesis Testing of Single Mean and Single Proportion: Examples: For clarity, made a number of edits to the examples. Changed the example about telephone numbers to be about cell phones and made it a 2-tailed test instead of a one-tailed test. Also, for this example, changed some of the questions because they had been out of order. Corrected the values of the test statistic and the p-value in the Historical Note. Also added the formula for the test statistic to the Historical Note.` Version: 1.9 Oct 27, 2008 3:54 pm -0500 by Changes: `roles updated` Version: 1.8 Aug 20, 2008 11:09 am -0500 by Changes: `Corrected errors (see m17360 for details)` Version: 1.7 Jul 17, 2008 12:00 pm -0500 by Changes: `mixed math and display issues` Version: 1.6 Jul 16, 2008 3:58 pm -0500 by Changes: `fixed answers and metadata` Version: 1.5 Jul 14, 2008 4:30 pm -0500 by Changes: `removed image width params from media tags` Version: 1.4 Jul 9, 2008 12:21 pm -0500 by Changes: `Fixed problem with displaying solution` Version: 1.3 Jul 9, 2008 7:16 am -0500 by Changes: `Post review edits` Version: 1.2 Jul 7, 2008 3:56 pm -0500 by Changes: `post review updates` Version: 1.1 Jun 26, 2008 2:26 pm -0500 by Changes: `Initial publication`

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## How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

### American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Hypothesis Testing of Single Mean and Single Proportion: Examples, OpenStax-CNX Web site. http://cnx.org/content/m17005/1.25/, Jun 18, 2012.

### American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Hypothesis Testing of Single Mean and Single Proportion: Examples [OpenStax-CNX Web site]. June 18, 2012. Available at: http://cnx.org/content/m17005/1.25/.

### American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 18). Hypothesis Testing of Single Mean and Single Proportion: Examples. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m17005/1.25/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Hypothesis Testing of Single Mean and Single Proportion: Examples." OpenStax-CNX. June 18, 2012. http://cnx.org/content/m17005/1.25/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Hypothesis Testing of Single Mean and Single Proportion: Examples," OpenStax-CNX, June 18, 2012, http://cnx.org/content/m17005/1.25/.

### Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2012. Hypothesis Testing of Single Mean and Single Proportion: Examples. OpenStax-CNX, June 18, 2012. http://cnx.org/content/m17005/1.25/.

### Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Hypothesis Testing of Single Mean and Single Proportion: Examples. OpenStax-CNX. 18 June 2012 <http://cnx.org/content/m17005/1.25/>.