Chi-squared tests

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

Find the degrees of freedom.

• 4

• 5

• 6

• 7

Which test would you use to see if age is a factor choosing a person’s favorite fruit? 900 college students were surveyed and their favorite fruit recorded.

• Chi-square Goodness of Fit Test

• Correlation coefficient

• Chi-Square Test for Independence

• Chi-square test for correlation

Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Latinx, 12% are African American, 8% are Asian, and the rest are defined as other.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Independence/Association

• Not a Chi-square test

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

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.

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

• bigger
• smaller

What are the degrees of freedom for the following χ² test?

• 6

• 2

• 5

• 36

What is the expected value for all cells, if we assume that this is a fair six sided die?

• 96
• 16
• 8
• 1/6

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

Is the type of television show that a person chooses to watch related to the brand of deodorant that a person uses? 1500 people were surveyed.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Independence

• Chi-squared test for correlation

• Not a Chi-square test