Q. 35 - The Practice of Statistics for AP

Question

How do U.S. residents who travel overseas for leisure differ from those who travel for business? The following is the breakdown by occupation:

Explain why we can’t use a chi-square test to learn whether these two distributions differ significantly. 

Step-by-Step Solution

Answer

We can’t use a chi-square test to learn whether these two distributions differ significantly because proportions are known instead of actual counts.

Step 1: Given information

The given data is

Step 2: Explanation

To use the chi-square test, we need to know the actual counts. However, in the table, we note that only the proportions have been given and thus we cannot apply the chi-square test.

Proportions are known instead of actual counts.