Chi Square Analysis Test for Association

What is the primary purpose of the Chi Square test for association?

• To compare means between two groups

• To test the relationship between two categorical variables

• To measure the central tendency of a dataset

• To determine the variance within a single group

Which of the following is the null hypothesis in a Chi Square test for association?

• There is an association between the two variables

• There is no association between the two variables

• The means of the two variables are equal

• The variances of the two variables are equal

How do you calculate the expected frequency for a cell in a contingency table?

If the Chi Square statistic is less than the critical value, what decision should be made regarding the null hypothesis?

• Reject the null hypothesis

• Fail to reject the null hypothesis

• Accept the null hypothesis

• None of the above

What is the purpose of calculating expected frequencies in a Chi Square test?

• To determine the actual observed frequencies

• To compare them with observed frequencies to test the null hypothesis

• To calculate the mean of the dataset

• To find the median of the dataset

In a Chi Square test, what does the term "observed frequency" refer to?

• The frequency expected under the null hypothesis

• The actual frequency counted in the data

• The average frequency of the data

• The frequency calculated from the mean

In a Chi Square test, what does a p-value greater than the significance level indicate?

• Strong evidence against the null hypothesis

• Weak evidence against the null hypothesis

• We should fail to reject HO

• The null hypothesis is definitely true

What must be true about the expected values in a chi square test?

• greater than or equal to 2
• greater than or equal to 5
• greater than or equal to 10
• greater than or equal to 30

Using a GDC, the chi-square test statistic for commuter data is χ² = 5.37 with P-value < 0.01. If we use $\alpha=0.05$  , what conclusion is appropriate?

• Do NOT reject H0; the results are significantly different.

• Do NOT reject H₀; the results are not significantly different.

• Reject H_0; the results are significantly different

• Reject H0; the results are not significant different.

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3