Chi Square Practice

Front

What is the formula for calculating degrees of freedom in a chi-square test?

Back

Degrees of freedom (df) = (number of rows - 1) * (number of columns - 1)

Front

What are the null and alternative hypotheses in a chi-square test for independence?

Back

H0: No relationship between variables; Ha: There is a relationship between variables.

Front

What does a p-value less than 0.05 indicate in a chi-square test?

Back

It indicates that there is significant evidence to reject the null hypothesis.

Front

What is a chi-square distribution?

Back

A chi-square distribution is a probability distribution that arises in statistics when estimating population parameters from a sample.

Front

What does it mean if a chi-square test statistic is greater than the critical value?

Back

It means that we reject the null hypothesis.

Front

What is the significance of the chi-square test in statistics?

Back

The chi-square test is used to determine if there is a significant association between categorical variables.

Front

What is the relationship between degrees of freedom and the shape of the chi-square distribution?

Back

As degrees of freedom increase, the chi-square distribution becomes less skewed and approaches a normal distribution.

Front

What is the critical value in a chi-square test?

Back

The critical value is the threshold that the test statistic must exceed to reject the null hypothesis.

Front

How do you interpret a chi-square test result with a p-value of 0.07?

Back

Since 0.07 is greater than 0.05, we do not have enough evidence to reject the null hypothesis.

Front

What is the difference between a one-way and a two-way chi-square test?

Back

A one-way chi-square test examines the distribution of a single categorical variable, while a two-way chi-square test examines the relationship between two categorical variables.