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 210 306 360 410 1286
Less likely 29 8 29 19 85
Neither more nor less likely 284 207 165 104 760
Total 523 521 554 533 2131
(a) What is the probability that a randomly selected individual is 45 to 54 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.)
(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 45 to 54 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?
Yes, more likely
No, less likely