Question

A) If we have a contingency table with two categorical variables we would need to use...

A) If we have a contingency table with two categorical variables we would need to use ___________________________________ to measure the association between the two variables

a)Chi-Square test

b) t-test

c) ANOVA

d) Correlation

Some High School Education

High School Degree or More

Total

Salary > $45,000 4 27 31
Salary < $45,000 36 19 55
Total 40 46 86

B) Using the table above, find the joint proportion of having a salary greater than $45,000 and a High School Degree or More.

a) 27/46 = 58.7%

b) 27/31 = 87.1%

c) 46/86 = 53.4%

d) 27/86 = 31.4%

C) Using the same table as before, find the conditional proportion of having Some High School Education given they have a salary less than $45,000

a) 36/40 = 90.0%

b) 36/55 = 65.5%

c) 19/36 = 52.8%

d) 36/86 = 41.8%

D) True or False: a chi-square test of independence is appropriate for this data based on the assumptions for this test.

a) True

b) False

E) True or False: a large chi-square test statistic indicates the strength of the association between two categorical variables.

a) True

b) False

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Answer #1

A) a) chi-square test

B) d) 27/86=31.4%

C) b) 36/55=65.5%

D) a) True

E) b) False

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