Testing Goodness-of-Fit and Two-Way Table Chi-Square

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Statistics: Inferential Statistics

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Other Materials

This is Activity 9 from the EXPLORATIONS Book:
Statistics Handbook for the TI-83

Resource Types

Lessons

Report an Issue

Testing Goodness-of-Fit and Two-Way Table Chi-Square

Activity Overview

Students perform chi-square tests to see if data follows a hypothesized distribution. They also study the two-way table analysis.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 101 - 105 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Chi-Square Test:

Generate 100 random values between numbers 0 and 10

Enter the expected and observed values of each class as lists

Calculate the degrees of freedom

Perform a chi-square test and determine the p-value

Evaluate the hypothesis based on the p-value

Simulate a binomial experiment using the randBin program

Plot the observed frequencies

Enter as lists number of successes, observed frequency of each number of successes, and the theoretical probabilities

Calculate the chi-square statistic after condensing

Calculate the p value and determine if they match the hypothesis of expected binomial distribution

Two Way Table Chi-Square Test:

Obtain a random sample of grades of students taking a test to test the hypothesis that the grade on the exam is independent of the sex of the test-taker

Store the data in a matrix

Perform a chi-square test and determine the p-value

Evaluate the hypothesis

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Statistics: Inferential Statistics

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Other Materials

This is Activity 9 from the EXPLORATIONS Book:
Statistics Handbook for the TI-83

Resource Types

Lessons

Report an Issue

iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Testing Goodness-of-Fit and Two-Way Table Chi-Square

Testing Goodness-of-Fit and Two-Way Table Chi-Square

Before the Activity Files

Control your cookie preferences

Products

Product Support

Teacher Resources

Administrator Resources

Lessons and Activities

General Information