Question

given is a table showing the results of a simple random sample asking respondents what types of cars they drive and their commuting distance to work in miles. what percent of the people in the sample drive compact cars?
chart and multiple - choice options as shown in the image

Explanation:

Step1: Identify total and compact users

Total people: 250 (from Total row). Compact car users: 61 (from Compact column, Total row).

Step2: Calculate percentage

Percentage = (Compact users / Total people) × 100 = (61 / 250) × 100? Wait, no—wait, the question is "what percent of the people in the sample drive compact cars". Wait, no, wait the table: Wait, the "Total" column for Compact is 61? Wait, no, the table has rows: Commuting <20, ≥20, Total. Columns: Subcompact, Compact, Mid - size, Full - size, Total. So Total people is 250 (bottom right). Compact car's total is 61 (Compact column, Total row). Wait, but the options: 44/61 = 72.1%? Wait, maybe I misread. Wait, the question is "what percent of the people in the sample drive compact cars". Wait, no, maybe the question is "what percent of the people who drive compact cars have commuting distance <20 miles"? Wait, the options: 44/175, 44/61, 61/250, 75/175. Wait, let's re - examine the table.

Looking at the table:

• Commuting <20 miles: Subcompact 33, Compact 44, Mid - size 66, Full - size 32, Total 175.

• Commuting ≥20 miles: Subcompact 19, Compact 17, Mid - size 33, Full - size 6, Total 75.

• Total: Subcompact 52, Compact 61, Mid - size 99, Full - size 38, Total 250.

Ah! The question is likely "What percent of the people who drive compact cars have a commuting distance <20 miles?" Because 44 (Compact, <20) divided by 61 (Total Compact) is 44/61 ≈ 72.1%, which is one of the options.

So Step1: Find number of compact car drivers with <20 miles: 44.

Step2: Find total number of compact car drivers: 61.

Step3: Calculate percentage: (44 / 61)×100 ≈ 72.1%.

Answer:

44/61 = 72.1% (the option with this calculation)