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 225 365 370 406 1366 Less likely 26 7 24 18 75 Neither more nor less likely 280 214 156 104 754 Total 531 586 550 528 2195 (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.) (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 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
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 225 365 370 406 1366 Less likely 26 7 24 18 75 Neither more nor less likely 280 214 156 104 754 Total 531 586 550 528 2195 (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.) (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 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
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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