(a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country"?

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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
More likely
Less likely
Neither more nor less likely 284
Total
515
18-34 35-44 45-54 55+
206 390 399 406
25 6 24 12
215 169 137
611 592 555
Total
1401
67
805
2273
D
C
(a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more 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: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 More likely Less likely Neither more nor less likely 284 Total 515 18-34 35-44 45-54 55+ 206 390 399 406 25 6 24 12 215 169 137 611 592 555 Total 1401 67 805 2273 D C (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed.)
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