Skip to content Skip to navigation

Connexions

You are here: Home » Content » The Chi-Square Distribution: Practice 2

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

  • CCOTP

    This module is included inLens: CCOTP Lens
    By: Tahiya MaromeAs a part of collection:"Collaborative Statistics"

    Comments:

    "Part of the Books featured on Community College Open Textbook Project"

    Click the "CCOTP" 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

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

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

The Chi-Square Distribution: Practice 2

Module by: Susan Dean, Dr. Barbara Illowsky

Summary: This module provides a practice on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

Student Learning Outcomes

  • The student will explore the properties of contingency tables.

Conduct a hypothesis test to determine if smoking level and ethnicity are independent.

Collect the Data

Copy the data provided in Probability Topics Practice 2: Calculating Probabilities into the table below.

Smoking Levels by Ethnicity (Observed)
Smoking Level Per Day African American Native Hawaiian Latino Japanese Americans White TOTALS
1-10            
11-20            
21-30            
31+            
TOTALS            

Hypothesis

State the hypotheses.

  • Ho:Ho: size 12{H rSub { size 8{O} } :} {}
  • Ha:Ha: size 12{H rSub { size 8{a} } :} {}

Expected Values

Enter expected values in the above below. Round to two decimal places.

Analyze the Data

Calculate the following values:

Exercise 1

Degrees of freedom =

Solution 1

12

Exercise 2

Chi2Chi2 size 12{ ital "Chi" rSup { size 8{2} } } {} test statistic =

Solution 2

10301.8

Exercise 3

p-value =

Solution 3

0

Exercise 4

Is this a right-tailed, left-tailed, or two-tailed test? Explain why.

Solution 4

right

Graph the Data

Exercise 5

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.

Blank graph with vertical and horizontal axes.

Conclusions

State the decision and conclusion (in a complete sentence) for the following preconceived levels of αα size 12{α} {} .

Exercise 6

α = 0 . 05 α = 0 . 05 size 12{α=0 "." "05"} {}

  • a. Decision:
  • b. Reason for the decision:
  • c. Conclusion (write out in a complete sentence):

Solution 6

  • a. Reject the null hypothesis

Exercise 7

α=0.01 α=0.01

  • a. Decision:
  • b. Reason for the decision:
  • c. Conclusion (write out in a complete sentence):

Comments, questions, feedback, criticisms?

Send feedback