What is the probability that a randomly selected individual is at least 55 years of age, given the individual ess likely to buy a product emphasized as "Made in our country"? e probability is approximately Dund to three decimal places as needed.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 7E
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Question
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+
More likely
Less likely
200 325 386 409
9
210 174 143
26
22 18
Neither more nor less likely 283
Total
509 544 582 570 2205
Total
1320
75
810
(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.)
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+ More likely Less likely 200 325 386 409 9 210 174 143 26 22 18 Neither more nor less likely 283 Total 509 544 582 570 2205 Total 1320 75 810 (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.)
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(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.)
Transcribed Image Text:(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.)
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