Question

a sample of adults was asked to choose their favorite sport to watch from a list of four sports. what proportion of those surveyed chose basketball as their favorite sport?
sport
total soccer basketball baseball football
18 - 30 49 12 15 7 15
31 - 50 48 9 8 12 19
51+ 52 6 11 18 17
total 149 27 34 37 51

Explanation:

Step1: Find number of people who chose basketball

The number of people who chose basketball is the sum of those in each age - group who chose basketball. So, \(15 + 8+11=34\).

Step2: Find total number of people surveyed

The total number of people surveyed is \(149\).

Step3: Calculate the proportion

The proportion of those surveyed who chose basketball is the number of people who chose basketball divided by the total number of people surveyed. So the proportion is \(\frac{34}{149}\).

Answer:

\(\frac{34}{149}\)