Question

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 81 people in the 18-21 age bracket and finds that 69 of them respond and 12 refuse to respond. When 301 people in the 22-29 age bracket are contacted, 282 respond and 19 refuse to respond. Assume that 1 of the 382 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond.

Answer 1

Answer:

Prob = 95.0%

Explanation:

There are 382 people in total

69 respond and are in the 18-21 age bracket

12 refuse to respond and are in the 18-21 age bracket

282 respond and are in the 22-29 age bracket

19 refuse to respond and are in the 22-29 age bracket

Then, the number of people that are in the 18-21 age bracket or agreed to respond is

69 + 12 + 282 = 363

Therefore, the probability of getting someone in the 18-21 age bracket or someone who agreed to respond is

P = 363/382

P = 0.9502

P = 95.0 %