17. Made in America In a recent Harris Poll, a random sampleof adult Americans (18 years and older) was asked, "When yousee an ad emphasizing that a product is 'Made in America,' areyou more likely to buy it, less likely to buy it, or neither morenor less likely to buy it?" The results of the survey, by age groupare presented in the following contingency table18-34 35-44 45-54 55+More likely2383293604021329Less likely22221666282Neither more201164118765nor less likelyTotal5425365465362160Source: The Harris Poll (a) What is the probability that a randomly selected individual is35-44 years of age, given the individual is more likely to buya product emphasized as "Made in America"?(b) What is the probability that a randomly selected individualis more likely to buy a product emphasized as "Made inAmerica," given the individual is 35-44 years of age?(c) Are 18- to 34-year-olds more likely to buy a productemphasized as "Made in America" than individuals ingeneral?

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Asked Sep 27, 2019
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17. 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+
More likely
238
329
360
402
1329
Less likely
22
22
16
66
282
Neither more
201
164
118
765
nor less likely
Total
542
536
546
536
2160
Source: The Harris Poll
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17. 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+ More likely 238 329 360 402 1329 Less likely 22 22 16 66 282 Neither more 201 164 118 765 nor less likely Total 542 536 546 536 2160 Source: The Harris Poll

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(a) What is the probability that a randomly selected individual is
35-44 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 35-44 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?
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(a) What is the probability that a randomly selected individual is 35-44 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 35-44 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?

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Expert Answer

Step 1

Given Data is shown in table

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18-34 35-44 Total 45-54 55+ More Likely 238 Less Likely Neither more 282 329 360 402 1329 22 22 16 66 6 765 201 164 118 nor less likely Total 2160 542 536 546 536

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Step 2

a)

Total no of individuals who more likely to buy is 1329

Individual is 35-44 years of age and more likely to buy is 329

Probability that a randomly selected individual is 35-44 years of age, given the individual is more likely to buy is given by

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329 329 0.248 2160 1329 1329 2160 |

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Step 3

b) No of individuals who are 35-44 years of age = 536

Individual is 35-44 years of age and more likely to buy = 329

Probability...

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329 329 2160 536 2160 0. 6138 536 l

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