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Solved: Made in America In a recent Harris Poll, a random
Chapter 5, Problem 17E(choose chapter or problem)
Problem 17E
Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey, by age group, are presented in the following contingency table.
|
18-34 |
35-44 |
45-54 |
55+ |
Total |
More likely |
238 |
329 |
360 |
402 |
1329 |
Less likely |
22 |
6 |
22 |
16 |
66 |
Neither more |
282 |
201 |
164 |
118 |
765 |
nor less likely |
|
|
|
|
|
Total |
542 |
536 |
546 |
536 |
2160 |
(a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is more likely to buy a product emphasized as “Made in America”?
(b) What is the probability that a randomly selected individual is more likely to buy a product emphasized as “Made in America,” given the individual is 35 to 44 years of age?
(c) Are 18- to 34-year-olds more likely to buy a product emphasized as “Made in America” than individuals in general?
Questions & Answers
QUESTION:
Problem 17E
Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey, by age group, are presented in the following contingency table.
|
18-34 |
35-44 |
45-54 |
55+ |
Total |
More likely |
238 |
329 |
360 |
402 |
1329 |
Less likely |
22 |
6 |
22 |
16 |
66 |
Neither more |
282 |
201 |
164 |
118 |
765 |
nor less likely |
|
|
|
|
|
Total |
542 |
536 |
546 |
536 |
2160 |
(a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is more likely to buy a product emphasized as “Made in America”?
(b) What is the probability that a randomly selected individual is more likely to buy a product emphasized as “Made in America,” given the individual is 35 to 44 years of age?
(c) Are 18- to 34-year-olds more likely to buy a product emphasized as “Made in America” than individuals in general?
ANSWER:
Answer
Step 1 of 3
(a)
The results of the survey are presented in the following table where adult Americans were asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?”
|
18-34 |
35-44 |
45-54 |
55+ |
Total |
More likely |
238 |
329 |
360 |
402 |
1329 |
Less likely |
22 |
6 |
22 |
16 |
66 |
Neither more |
282 |
201 |
164 |
118 |
765 |
nor less likely |
|
|
|
|
|
Total |
542 |
536 |
546 |
536 |
2160 |
We are asked to find the probability that a randomly selected individual is 35 to 44 years of age, given the individual is more likely to buy a product emphasized as “Made in America”.
Hence the probability is