Chi-square test of independence

What is the chi-square statistic test also known as?

• a. C^2 - test

• b. Z - test dependent test

• c. C - test independence test

• d. Pearson Chi-square test

How is the chi-square test used?

• a. Used to test the relationship between two categorical variables.

• b. Tests for the difference between two variables from the same population.

• c. Determines whether there is a statistically significant difference between the means in two unrelated groups.

• d. Used to check if the means of two or more groups are significantly different from each other. 

In computing the expected value, we multiply the ______ by the ______ and divide it by the ______ to get the expected value in that cell

(a)  

If the chi-square value of 15.67 is greater than the critical chi-square value of 11.03, what is the conclusion?

• a. Null hypothesis is rejected; the variables are not dependent.

• b. Null hypothesis is rejected; the variables are dependent.

• c. Null hypothesis is accepted; the variables are not dependent.

• d. Null hypothesis is accepted; the variables are dependent.

If the chi-square value of 9.22 is less than the critical chi-square value of 13.27, what is the conclusion?

• a. Null hypothesis is rejected; the variables are not dependent.

• b. Null hypothesis is rejected; the variables are dependent.

• c. Null hypothesis is accepted; the variables are not dependent.

• d. Null hypothesis is accepted; the variables are dependent.

A researcher wants to find out which of the coffees from Brand X and Brand Y is more effective for pulling all-nighters. Should the researcher use the chi-square test for independence?

• A. Yes

• B. No

• C. Maybe

• D. Depends

How do you calculate the chi-square value

• 
• 

The chi square value is 7.18, the critical chi square value is 3.841. What is the the conclusion?

• A. Since the chi square is less than the critical chi square value, then the null hypothesis is not rejected.

• B. Since chi square value is greater than the critical chi square value, then the null hypothesis is rejected.

• C. Since the chi square value is greater than the critical chi square value, then the null hypothesis is not rejected.

The values in the expected table are less than 5, what will happen to the data?

• A. The data remains accurate and reliable

• B. Some of the data will be affected but the outcome will still be reliable

• C. The data will become unreliable.

Because it may affect the reliability of the table, The value of the expected cell should be (a)   or more in 80% of the cells.