A county government surveyed 850 adult residents and recorded whether each owned a pet and whether each owned the home in which they lived. Of the 340 residents who own a pet, 255 also own their home. Of the 510 residents who do not own a pet, 204 own their home. The conditional relative frequency of owning a home, given that a resident owns a pet, is . Which of the following is a correct interpretation of this value?
representing two categorical variables
Review representing two categorical variables for AP Statistics and try 2 free AP-style practice questions. 11 questions on this topic in AP Statistics · Unit 2 · Exploring Two-Variable Data.
Try free questions
A car dealership reviewed records for 400 recent purchases, classifying each purchase as a new or used car and by whether the buyer financed the purchase with a loan or paid entirely in cash. The results are summarized in the table below.
| Loan | Cash | Total | |
|---|---|---|---|
| New | 168 | 42 | 210 |
| Used | 76 | 114 | 190 |
| Total | 244 | 156 | 400 |
Based on the table, which of the following is closest to the conditional relative frequency of buyers who financed with a loan, given that they purchased a used car?
9 more questions on this topic
Full practice for AP Statistics · Unit 2 · Exploring Two-Variable Data: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.
Start practicing freeHow practice works on S&D Academy
Answer, then see why
The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?
Not quite. The answer is B.
Why the other options are wrong
AI grading for free-response
Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.
Reason: Correctly identifies demand for gasoline as inelastic.
Evidence: "The price of gasoline rises and the quantity falls only a little."
Reason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Reason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Reason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."