Chi Square Multiple Choice Version 1

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

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The degrees of freedom for the test will be

• 8
• 9
• 10
• 99

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The expected counts for spinning a 5 will be

• 5
• 10
• 11.1
• 20

Which statement is NOT correct about the chi-square test statistic?

• A value close to 0 would indicate expected counts are much different from observed counts.

• A large value of the test statistic would be in support of the alternative hypothesis.

• A small value of the test statistic would indicate evidence supporting the null hypothesis.

• The test statistic is the sum of positive numbers and therefore must be positive.

In a chi square goodness of fit test, you must have

• Expected counts for two samples

• Observed proportions for one categorical variable

• Observed counts for one categorical variable

• Observed proportions for two categorical variables

The bigger the chi square statistic, the ________ the p value.

• bigger
• smaller

The shape of the Chi-Square distribution is ___.

• Left Skewed

• Right Skewed

• Unimodal & Symmetric

• Bimodal & Symmetric

Which Test is Appropriate? Is Gender a factor in a person’s favorite fruit? 400 men and 500 women were asked what their favorite fruit is to see if the distribution of favorite fruit is the same for men and women.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Homogeneity

• Chi-Square Test for Independence/Association

• Not a Chi-square test

Which Test is Appropriate? Is nationality related to favorite drink? 300 people were observed.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Homogeneity

• Chi-Square Test for Independence/Association

• Not a Chi-square test

Which Test is Appropriate? A stadium manager is interested in whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Homogeneity

• Chi-Square Test for Independence/Association

• Not a Chi-square test