According to the New York Times/CBS poll of March, 2005, 75% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 44% agreed that it would be a good idea to invest part of their Social Security taxes on their own. What is the smallest percentage of people who could have agreed with both statements What is the largest percentage of people who could have agreed with both statements ?
A)The smallest percentage is 20%, the largest percentage is 100%.
B) The smallest percentage is 19%, the largest percentage is 31%.
C) The smallest percentage is 19%, the largest percentage is 44%.
D) The smallest percentage is 14%, the largest percentage is 99%.
E) The smallest percentage is 21%, the largest percentage is 44%.

Question

According to the New York Times/CBS poll of March, 2005, 75% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 44% agreed that it would be a good idea to invest part of their Social Security taxes on their own. What is the smallest percentage of people who could have agreed with both statements  What is the largest percentage of people who could have agreed with both statements  ?
A)The smallest percentage is 20%, the largest percentage is 100%.
B) The smallest percentage is 19%, the largest percentage is 31%.
C) The smallest percentage is 19%, the largest percentage is 44%.
D) The smallest percentage is 14%, the largest percentage is 99%.
E) The smallest percentage is 21%, the largest percentage is 44%.

Quizplus · Accepted Answer

To find the smallest percentage that agreed with both statements, we must subtract the percentage of those who did not think it was the government's responsibility (25%) from the percentage of those who thought it would be a good idea to invest their own Social Security taxes (44%). This gives us 19%, which is the smallest percentage that could have agreed with both statements.

To find the largest percentage that could have agreed with both statements, we must look at the percentage of those who thought it would be a good idea to invest their own Social Security taxes (44%) since this is the lower percentage of the two statements. Therefore, the largest percentage that could have agreed with both statements is also 44%.

Therefore, the best choice is C.

According to the New York Times/CBS Poll of March, 2005