Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Hypothesis Tests

9-12

45 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE

## Candy Pieces

#### Activity Overview

Students use a chi-square test for goodness-of-fit to determine if there is a significant difference between the proportions they find in the sample, and the proportions they would expect if the manufacturer produced equal proportions of each color.

#### Key Steps

• In problem 1, students are introduced to chi-square. They use a scenario about a popular brand of candy pieces. This candy comes in five colors.

The scenario goes on to say that the candy might likely be made from a manufacturing process that was designed to produce equal proportions of each color; they use the chi-square test for goodness-of-fit.

• Students use ListEditor to help them calculate test for goodness-of-fit. They enter the number of pieces of each color. Students use a formula to compute a relative size of each piece of candy and enter in L3. L4 gives the sum of the of all the values found in L3 and gives students a value for chi-square.

• Students now find whether the chi-square found is large or small. They will see that they do so by comparing the observed chi-square to the theoretical distribution of the probabilities.