Question

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 77 people in the 18-21 age bracket and finds that 65 of them respond and 12 refuse to respond. When 283 people in the 22-29 age bracket are contacted, 259 respond and 24 refuse to respond. Assume that 1 of the 360 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who refused to respond. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol P(18−21orrefused)=%

Answer 1

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to calculate the total number of people in both categories and divide it by the total number of people contacted. The probability is 31.4%.

Step-by-step explanation:

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to calculate the total number of people in both categories and divide it by the total number of people contacted.

In the 18-21 age bracket, 65 people responded and 12 refused to respond, so the total number of people in this category is 65 + 12 = 77.

In the refusal category, 12 people refused to respond in the 18-21 age bracket and 24 people refused to respond in the 22-29 age bracket, so the total number of people who refused to respond is 12 + 24 = 36.

The total number of people contacted is 77 + 283 = 360.

The probability of getting someone in the 18-21 age bracket or someone who refused to respond is (77 + 36) / 360 = 113 / 360 = 0.3139.

Converting the probability to a percent and rounding to one decimal place accuracy gives 31.4%.