Chi Square Tests

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

• None less than 1

• 10% greater than or equal to 5

• 20% greater than or equal to 10

• 20% greater than or equal to 5

Tags

CCSS.HSS.MD.A.2

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

Tags

CCSS.HSS.MD.A.3

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

• bigger
• smaller

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

An appropriate null hypothesis is to test whether the food choices are equally popular is

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.B.5

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

The chi square statistic is

• $\frac{\left(18-25\right)^2}{25}+...+\frac{\left(21-25\right)^2}{25}$

• $\frac{\left(25-18\right)^2}{18}+...+\frac{\left(25-21\right)^2}{21}$

• $\frac{\left(18-25\right)}{25}+...+\frac{\left(21-25\right)}{25}$

• $\frac{\left(18-25\right)^2}{100}+...+\frac{\left(21-25\right)^2}{100}$

• $\frac{\left(0.18-0.25\right)^2}{0.25}+...+\frac{\left(0.39-0.25\right)^2}{0.25}$

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.B.5

The p-value for a chi-square test for goodness of fit is 0.0129. Which of the following is the most appropriate conclusion?

• Because 0.0129 is less than 0.05, reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.

• Because 0.0129 is less than 0.05, reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.

• Because 0.0129 is less than 0.05, reject the null hypothesis. There is convincing evidence that the food choices are not equally popular.

• Because 0.0129 is less than 0.05, we fail to reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.

• Because 0.0129 is less than 0.05, fail to reject the null hypothesis. There is convincing evidence that the food choices are equally popular.

Tags

CCSS.HSS.IC.A.1

Find the degrees of freedom.

• 4
• 5
• 6
• 7

Tags

CCSS.HSS.ID.A.4

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05
• no, the p value is less than .05
• yes, the p value is less than .05
• no, the p value is greater than .05

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.B.5

CCSS.HSS.ID.A.2

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

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3