Unit 8: Chi Square Review

A chi-square test is used to analyze

• the difference in proportions.

• The difference between the means of two independent groups.

• The distribution of a categorical variable.

• The standard deviation of a sample.

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

Which of the following statements is NOT true about the chi-square statistic?

• It is calculated by summing the squared deviations between observed and expected counts, divided by the expected counts.

• A larger chi-square value indicates a stronger association between the variables.

• The chi-square distribution has a minimum value of zero.

• The degrees of freedom for a chi-square test depend on the number of categories in each variable.

Tags

CCSS.HSS.CP.A.4

In a chi-square goodness of fit test, the null hypothesis states that

• The observed and expected frequencies are significantly different.

• There is a linear relationship between the two variables.

• The proportions of the population fall into specific categories.

• The observed data matches the expected distribution.

What is the appropriate test to use with this data?

• Chi Square GOF

• Chi Square Homogeneity

• Chi Square Independence

• Chi Square Heterogeneity

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

Chi-squared GOF test is not appropriate if:

(choose all that apply)

• The calculated number is really large

• One of the expected values is less than 5

• One of the observed values is less than 5

• The degrees of freedom = 1

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.ID.B.5

The degrees of freedom for the chi-square test for this two-way table are

• 4

• 8

• 10

• 20

• 4876

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

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.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.B.5

The expected count of females who respond "almost certain" is

• 487.7

• 525

• 965

• 1038.8

• 1174

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5