The Chi-Squared Test - X² Choco-Zuties, and the other ad was for a new healthy snack called Apple-Zuties. advertisers used two 30-second television ads in an experiment. One ad was for a new sugary snack called Product advertisers studied the effects of television ads on children's choices for two new snacks. The program, the children were offered a choice between the two snacks. The table below summarizes their choices. individually watched a 30-minute television program that was interrupted for 5 minutes of advertising. After the For the experiment, 75 children were randomly assigned to one of three groups, A, B, or C. Each child Number Who Chose Choco-Zuties Group A B Analyzing the Association Between Categorical Variables Chapter 11 с Type of Ad Choco-Zuties only Apple-Zuties only Neither 13 22 3 Do the data provide convincing statistical evidence that there is an association between type of ad and children's choice of snack among all children similar to those who participated in the experiment? 21 The hypotheses for the test are: Ho: The two variables are independent (not associated). H.: The two variables are dependent (associated). Number Who Chose Apple-Zuties 4 12 x² = (obs-exp)² exp The test assumes random sampling and a large sample size. State the null and alternative hypotheses for this test. Ho Type of Ad and Snack Choice are independent (not associated) Ha Type of Ad and Snack Choice are dependent (associated) Test Statistic: The chi-squared statistic summarizes how far the observed cell counts in a contingency table fall from the expected cell counts for a null hypothesis.
The Chi-Squared Test - X² Choco-Zuties, and the other ad was for a new healthy snack called Apple-Zuties. advertisers used two 30-second television ads in an experiment. One ad was for a new sugary snack called Product advertisers studied the effects of television ads on children's choices for two new snacks. The program, the children were offered a choice between the two snacks. The table below summarizes their choices. individually watched a 30-minute television program that was interrupted for 5 minutes of advertising. After the For the experiment, 75 children were randomly assigned to one of three groups, A, B, or C. Each child Number Who Chose Choco-Zuties Group A B Analyzing the Association Between Categorical Variables Chapter 11 с Type of Ad Choco-Zuties only Apple-Zuties only Neither 13 22 3 Do the data provide convincing statistical evidence that there is an association between type of ad and children's choice of snack among all children similar to those who participated in the experiment? 21 The hypotheses for the test are: Ho: The two variables are independent (not associated). H.: The two variables are dependent (associated). Number Who Chose Apple-Zuties 4 12 x² = (obs-exp)² exp The test assumes random sampling and a large sample size. State the null and alternative hypotheses for this test. Ho Type of Ad and Snack Choice are independent (not associated) Ha Type of Ad and Snack Choice are dependent (associated) Test Statistic: The chi-squared statistic summarizes how far the observed cell counts in a contingency table fall from the expected cell counts for a null hypothesis.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:The Chi-Squared Test - X²
Choco-Zuties, and the other ad was for a new healthy snack called Apple-Zuties.
Product advertisers studied the effects of television ads on children's choices for two new snacks. The
advertisers used two 30-second television ads in an experiment. One ad was for a new sugary snack called
program, the children were offered a choice between the two snacks. The table below summarizes their choices.
individually watched a 30-minute television program that was interrupted for 5 minutes of advertising. After the
For the experiment, 75 children were randomly assigned to one of three groups, A, B, or C. Each child
Number Who Chose
Choco-Zuties
21
13
22
Group
A
B
с
Kristin Trehame
11-30-20
Chapter 11
Analyzing the Association Between Categorical Variables
Type of Ad
Choco-Zuties only
Apple-Zuties only
Neither
Number Who Chose
Apple-Zuties
4
12
x²=(obs-exp)²
exp
Do the data provide convincing statistical evidence that there is an association between type of ad and children's
choice of snack among all children similar to those who participated in the experiment?
The hypotheses for the test are:
Ho: The two variables are independent (not associated).
На The two variables are dependent (associated).
The test assumes random sampling and a large sample size.
3
State the null and alternative hypotheses for this test.
Ho Type of Ad and Snack Choice are independent (not associated)
Ha Type of Ad and Snack Choice are dependent (associated)
Test Statistic: The chi-squared statistic summarizes how far the observed cell counts in a
contingency table fall from the expected cell counts for a null hypothesis.
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