In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," 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. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55 + Total More likely 225 365 370 406 1366 Less likely 26 7 24 18 75 Neither more nor less likely 280 214 156 104 754 Total 531 586 550 528 2195 (a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is less likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed.) (b) What is the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age? The probability is approximately (Round to three decimal places as needed.) (c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? O Yes, more likely O No, less likely

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," 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. Complete parts (a) through (c).
Purchase likelihood
18-34 35-44 45-54 55 +
Total
More likely
225 365 370 406
1366
Less likely
26
7
24
18
75
Neither more nor less likely 280 214
156 104
754
Total
531 586 550 528
2195
....
(a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is less likely to buy a product emphasized as "Made in our country"?
The probability is approximately
(Round to three decimal places as needed.)
(b) What is the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age?
The probability is approximately.
(Round to three decimal places as needed.)
(c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general?
Yes, more likely
No, less likely
Transcribed Image Text:In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," 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. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55 + Total More likely 225 365 370 406 1366 Less likely 26 7 24 18 75 Neither more nor less likely 280 214 156 104 754 Total 531 586 550 528 2195 .... (a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is less likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed.) (b) What is the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age? The probability is approximately. (Round to three decimal places as needed.) (c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes, more likely No, less likely
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