AP Stats AP Stats Inference for Categorical Data

Question 1

Which chi-square test is used to determine whether the distribution of a categorical variable matches a claimed distribution?

Accepted Answer

Chi-square goodness-of-fit test

Answer

Chi-square test for homogeneity

Answer

Chi-square test for independence

Answer

Chi-square test for association

Question 2

In a chi-square test, the expected count for each cell is calculated as:

Accepted Answer

(row total × column total) / grand total

Answer

(observed − expected)² / expected

Answer

observed / expected

Answer

(row total + column total) / n

Question 3

What is the minimum expected cell count required in each cell before performing a chi-square test?

Accepted Answer

5

Answer

1

Answer

10

Answer

30

Question 4

A chi-square test for independence tests whether two categorical variables are independent. A very small p-value indicates:

Accepted Answer

There is strong evidence against independence

Answer

The variables are definitely not related

Answer

The sample size was too small

Answer

The test statistic equals zero

Question 5

For a 3×4 contingency table, what are the degrees of freedom for the chi-square test for independence?

Accepted Answer

6

Answer

12

Answer

7

Answer

11

Question 6

Which condition is NOT required for a valid chi-square goodness-of-fit test?

Accepted Answer

Normal distribution of the variable

Answer

Random sample

Answer

All expected counts ≥ 5

Answer

Independent observations