2.5 Survey Problems

1. 2.5 Survey Problems

2. The results of a survey are represented in the Venn diagram. The survey questions were: Would you be willing to donate blood? Would you be willing to serve breakfast? donate serve 120 370 220 290 How many students are willing to donate blood? How many students are willing to donate blood or serve breakfast? How many students are willing to serve breakfast? How many students are willing to donate blood and serve breakfast? 120

3. The results of a survey are represented in the Venn diagram. The survey questions were: Would you be willing to donate blood? Would you be willing to serve breakfast? donate serve 120 370 220 290 How many students are willing to donate blood but not serve breakfast? How many students are not willing to donate blood nor serve breakfast? 370 290 How many students are willing to serve breakfast but not donate blood? 220 How many students were surveyed?

4. The results of a survey are represented in the Venn diagram. The survey questions were: Do you like to listen to classical music? Do you like to listen to jazz? classical jazz 20 55 70 30 How many people like to listen to classical music and jazz? How many people like to listen to classical music? 20 How many people like to listen to jazz? How many people like to listen to classical music or jazz?

5. The results of a survey are represented in the Venn diagram. The survey questions were: Do you like to listen to classical music? Do you like to listen to jazz? classical jazz 20 55 70 30 How many people like to listen to classical music but not jazz? How many people do not like to listen to classical music nor jazz? 55 30 How many people like to listen to jazz but not classical music? How many people were surveyed? 70

6. n(A) = 75 n(B) = 90 B A 20 55 70 30 75 + 90 – 20 = 145 There are 78 elements in set C. There are 94 elements in set D.

7. In a Gallup poll, 2000 adults were selected at random and asked to agree or disagree with the following statement: Job opportunities for women are not equal to those for men. The results of the survey showed that 1190 people agreed 700 women agreed Half of the people surveyed were women 1190 – 700 = 490 1000 – 700 = 300 agree women 1000 – 490 = 510 700 How many men agreed with the statement? 490 300 490 510 How many men disagreed with the statement? 510

8. In a poll, 1000 adults were selected at random and asked to agree or disagree with the following statement: Canada is more important to the United States than Mexico. The results of the survey showed that 550 people agreed 50 Hispanics agreed 250 of the people surveyed were Hispanic 550 – 50 = 500 250 – 50 = 200 1000 – (500 + 50 + 200) = 250 agree Hispanic How many non-Hispanics agreed with the statement? 500 50 How many non-Hispanics disagreed with the statement? 500 200 250 250

9. How many people did not like any of the categories? 16 Dramas Comedies 7 How many people liked only science fiction? 10 3 9 6 5 4 How many people liked comedies or science fiction? 16 41 Science fiction 10 How many people liked dramas but not science fiction? 10 Sixty people responded to a movie survey. 6 people liked comedies, dramas and science fiction 13 people liked comedies and dramas 10 people liked comedies and science fiction 11 people liked dramas and science fiction 26 people liked comedies 21 people liked dramas 25 people liked science fiction