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

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 More likely Less likely Neither more nor less likely 280 209 171 126 786 Total 18-34 35-44 45-54 55 + Total 230 379 388 404 1401 26 10 26 15 77 536 598 585 545 2264 (a) What is the probability that a randomly selected individual is 35 to 44 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.)

Explanation / Answer

Solution:-

a) The probability is approximately 0.130

Explanation:-

Prob (individual is 35-44 years of age given that he is less likely to buy a product) = P(AB)/P(B)

= No of persons who are 35-44 and less likely/No of persons less likely = 10/77 = 0.1298 = 0.130

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