ntry (18 vears and older) was asked, "When you

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4. 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
230 302 378 400
1310
Less likely
27
78
9
208 157 121
Neither more nor less likely 294
780
Total
551
516 564 537
2168
(a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is
neither more nor 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 neither more nor less likely to buy a product emphasized as
"Made in our country," given the individual is 35 to 44 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:4. 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 230 302 378 400 1310 Less likely 27 78 9 208 157 121 Neither more nor less likely 294 780 Total 551 516 564 537 2168 (a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is neither more nor 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 neither more nor less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 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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