Do you think that the government should bail out the automobile industry? Suppose that this question was asked in a recent survey of 460 Americans. Respondents were also asked to select the category corresponding to their age (younger than 30; 30 to 50; or older than 50). It was found that 120 respondents were younger than 30; 220 were in the age group from 30 years to 50 years of age; and 120 respondents over 50 years old. From the respondents who were younger than 30 years of age, 60 were opposed to the bailout, 40 were undecided, and the remainder were in favor. From the respondents who were older than 50 years of age, two-thirds of these respondents were opposed to the bailout; the remaining were in favor; from the age group of 30 to 50, 60% of the respondents were opposed; 10% in favor; and the remainder were undecided. Is there a relationship between the respondents’ opinion and age?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Do you think that the government should bail out the automobile industry? Suppose that this question was asked in a recent survey of 460 Americans. Respondents were also asked to select the category corresponding to their age (younger than 30; 30 to 50; or older than 50). It was found that 120 respondents were younger than 30; 220 were in the age group from 30 years to 50 years of age; and 120 respondents over 50 years old. From the respondents who were younger than 30 years of age, 60 were opposed to the bailout, 40 were undecided, and the remainder were in favor. From the respondents who were older than 50 years of age, two-thirds of these respondents were opposed to the bailout; the remaining were in favor; from the age group of 30 to 50, 60% of the respondents were opposed; 10% in favor; and the remainder were undecided. Is there a relationship between the respondents’ opinion and age?

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