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 223 300 392 402 1317 Less likely 29 6 25 14 74 Neither more nor less likely 287 207 156 116 766 Total 539 513 573 532 2157

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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 pollI, 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
223
300 392 402
1317
Less likely
29
6
25 14
74
Neither more nor less likely 287 207 156 116
766
Total
539 513
573 532
2157
Transcribed Image Text:In a recent pollI, 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 223 300 392 402 1317 Less likely 29 6 25 14 74 Neither more nor less likely 287 207 156 116 766 Total 539 513 573 532 2157
(a) What is the probability that a randomly selected individual is 45 to 54 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.)
Transcribed Image Text:(a) What is the probability that a randomly selected individual is 45 to 54 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.)
Expert Solution
Step 1

Required probability is P(45-54 years of age | less likely)

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