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 18-34 35-44 45-54 55+ 240 335 387 408 Less likely 27 8 29 19 Neither more nor less likely 296 203 153 130 782 Total 1370 83 Total 563 546 569 557 2235 (a) What is the probability that a randomly selected individual is at least 55 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 at least 55 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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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,
K 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
18-34 35-44 45-54 55+
240 335 387 408
27 8 29 19
Neither more nor less likely 296 203 153 130
Less likely
Total D
1370
83
782
2235
Total
563 546 569 557
I
(a) What is the probability that a randomly selected individual is at least 55 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 at least 55 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
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, K 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 18-34 35-44 45-54 55+ 240 335 387 408 27 8 29 19 Neither more nor less likely 296 203 153 130 Less likely Total D 1370 83 782 2235 Total 563 546 569 557 I (a) What is the probability that a randomly selected individual is at least 55 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 at least 55 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
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