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In a recent poll, a random sample of adults in some country (18 years and older)

ID: 3129351 • Letter: I

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+ Total

More likely                           204              318          334        410       1266

Less Likely                           27                  5             28          11         71

Neither more nor less          292               210         162         122         786

Total                                    523               533          524          543          2123

a-What is the porbability that a randomly selected individual 45-54 years of age, given the individual is neither more nor less likley to buy a product emphasized as "Made in our country"

The probability is approx-____________ round to three decimal

b-What is the probability that a randomly selected invidiauls is neither more nor less likely to buy a product emphasized as "Made in our country", given the individual is 45-54 years of age? ________ round to three decimal.

c) Are 18-34 year olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes or no

Explanation / Answer

(a) 0.157325 + 0.013189 = 0.170514

(b) 0.170514/0.246821 = 0.6908

(c) No.

Purchase likelihood 18 - 34 35 - 44 45 - 54 55+ Total More likely 0.09609 0.149788 0.157325 0.193123 0.596326 Less likely 0.003297 0.002355 0.013189 0.005181 0.033443 Neither more nor less 0.137541 0.098917 0.076307 0.057466 0.370231 Total 0.24635 0.25106 0.246821 0.25577 1
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