Skip to content Skip to navigation

Connexions

You are here: Home » Content » Hypothesis Testing of Single Mean and Single Proportion: Decision and Conclusion

Navigation

Content Actions
  • Download module PDF
  • Add to ...
    Add the module to:
    • My Favorites
    • A lens
    • An external social bookmarking service
    • My Favorites (What is 'My Favorites'?)
      'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.
    • A lens (What is a lens?)

      Definition of a lens

      Lenses

      A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

      What is in a lens?

      Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

      Who can create a lens?

      Any individual Connexions member, a community, or a respected organization.

    • External bookmarks
  • E-mail the authors

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual Connexions member, a community, or a respected organization.

This content is ...

In these lenses

  • Printable Books

    This module is included inLens: Connexions Books Available for Print on Demand
    By: ConnexionsAs a part of collection:"Collaborative Statistics"

    Comments:

    "This book was purchased from the authors by the Maxfield Foundation and provided to the community as an open textbook available freely online and in PDF format. Bound copies of the book can also […]"

    Click the "Printable Books" link to see all content selected in this lens.

  • Bio 502 at CSUDH

    This module is included inLens: Bio 502
    By: Terrence McGlynnAs a part of collection:"Collaborative Statistics"

    Comments:

    "This is the course textbook for Biology 502 at CSU Dominguez Hills"

    Click the "Bio 502 at CSUDH" link to see all content selected in this lens.

Recently Viewed

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.

Hypothesis Testing of Single Mean and Single Proportion: Decision and Conclusion

Module by: Dr. Barbara Illowsky, Susan Dean

A systematic way to make a decision of whether to reject or not reject the null hypothesis is to compare the p-value and a preconceived αα (also called a "significance level"). A preconceived αα is the probability of a Type I error (rejecting the null hypothesis when the null hypothesis is true). It may or may not be given to you at the beginning of the problem.

When you make a decision to reject or not reject HoHo, do as follows:

  • If α>p-valueα>p-value, reject HoHo. The results of the sample data are significant. There is sufficient evidence to conclude that HoHo is an incorrect belief and that the alternative hypothesis, HaHa, may be correct.
  • If α≤p-valueα≤p-value, do not reject HoHo. The results of the sample data are not significant. There is not sufficient evidence to conclude that the alternative hypothesis, HaHa, may be correct.
  • When you "do not reject HoHo", it does not mean that you should believe that HoHo is true. It simply means that the sample data has failed to provide sufficient evidence to cast serious doubt about the truthfulness of HoHo.

Conclusion: After you make your decision, write a thoughtful conclusion about the hypotheses in terms of the given problem.

Glossary

Hypothesis:
A statement about the value of a population parameter. In case of two hypotheses, the statement assumed to be true is called null hypothesis (notation H0H0 size 12{H rSub { size 8{0} } } {}) and contradictory statement is called alternate hypothesis (notation HaHa size 12{H rSub { size 8{a} } } {}).
p-value:
The probability that event will happen purely by chance assuming the null hypothesis is true. The smaller p-value, the stronger the evidence is against the null hypothesis.
Type 1 Error:
The decision is to reject Null hypothesis, when, in fact, Null hypothesis is true.

Comments, questions, feedback, criticisms?

Send feedback