Purchase_likelihood 18-34 35-44 45-54 55+ Total More likely 208 362 378 405 1353

Question

Purchase_likelihood 18-34 35-44 45-54 55+ Total
More likely 208 362 378 405 1353
Less likely 25 7 26 12 70
Neither more nor less likely 285 216 150 147 798
Total 518 585 554 564 2221

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).

(a) What is the probability that a randomly selected individual is 55 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?

(b) What is the probability that a randomly selected individual is

more 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: (

c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general?

Explanation / Answer

a) probability that a randomly selected individual is 55 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country" =405/1353=0.2993

b)

probability that a randomly selected individual is

more likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age

=362/585=0.6188

c)probabilty of 18- to 34-year-olds more likely to buy =208/518=0.4015

also probabilty of an individual more likely to buy =1353/2221=0.609

hence false

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