Chi-Square Test Concepts

This video provides a comprehensive review of Unit 8 in AP Statistics, focusing on Chi-Square tests for categorical data. It covers the three types of Chi-Square tests: Goodness of Fit, Independence, and Homogeneity. Each test is explained with detailed steps, including hypothesis formulation, condition checking, and P-value calculation. Examples are provided to illustrate the application of these tests in real-world scenarios.

What is the primary purpose of a Chi-Square test?

• To compare means of two groups

• To calculate the average of a dataset

• To test for independence between categorical variables

• To determine the median of a dataset

Which of the following is NOT a type of Chi-Square test?

• Test for Independence

• Goodness of Fit

• Test for Correlation

• Test for Homogeneity

In a Chi-Square Goodness of Fit test, what is the null hypothesis?

• Observed frequencies do not match expected frequencies

• Observed frequencies match expected frequencies

• Observed frequencies are greater than expected frequencies

• Observed frequencies are less than expected frequencies

What is the first step in conducting a Chi-Square Goodness of Fit test?

• Name the test and write the hypothesis

• Calculate the P-value

• Calculate the Chi-Square statistic

• Check the conditions

In the example of the Goodness of Fit test, what was the expected proportion of brown eyes?

• 10%

• 78%

• 2%

• 5%

What is the significance level used in the example of the Goodness of Fit test?

• 1%

• 5%

• 10%

• 0.5%

What does a Chi-Square Test for Independence assess?

• Whether two numerical variables are correlated

• Whether a dataset is normally distributed

• Whether two categorical variables are independent

• Whether a sample mean is equal to a population mean

In the example of the Test for Independence, what were the two categorical variables?

• Region and language spoken

• Gender and political party affiliation

• Age and income

• Education level and employment status

What is the main difference between a Test for Independence and a Test for Homogeneity?

• The number of samples used

• The statistical software required

• The method of calculating expected values

• The type of data analyzed

In the example of the Test for Homogeneity, which social media app was NOT considered?

• Facebook

• Instagram

• Twitter

• Snapchat