A chi-squared test goodness of fit test can be used to test if two categorical variables are independentTrueFalseQuestion 10

Analysis of the Statement

A chi-squared goodness of fit test is typically used to determine if a sample distribution fits a theoretical distribution. While there is a related test called the chi-squared test of independence, the statement given does not accurately describe the purpose of the goodness of fit test.

Explanation of the Concepts

1. Chi-Squared Goodness of Fit Test: This test checks whether the observed frequencies of categorical data differ from the expected frequencies based on a specific distribution.

2. Chi-Squared Test of Independence: This test is used to determine if there is a significant association between two categorical variables in a contingency table.

Conclusion

The statement claimed that a chi-squared goodness of fit test can be used to test if two categorical variables are independent. This is not true as the goodness of fit test does not measure independence; rather, it assesses how well the observed data fit a specified distribution.

Final Answer

False. A chi-squared goodness of fit test cannot be used to test if two categorical variables are independent; it is used to evaluate how well a sample distribution fits a known distribution.