To better understand how husbands and wives feel about their finances, Mo11ey Magazi11e conducted a national poll of 1010 married adults age 25 and older with household incomes of $50,000 or more (1\!1011ey Magazi11ewebsite, December 14, 2014). Consider the following example set of responses to the question, "Who is better at getting deals?"                             Who is better Respondent    I am    My Spouse    We are equal Husband       278          127                   102 Wife              290           111                  102   a. Develop a joint probability table and use it to answer the following questions. b. Construct the marginal probabilities for Who Isbetter (I Am, My Spouse, We Are Equal). c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband? e. Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband? f. Given a response "Vie are equal;' what is the probability that the response came from a husband? What is the probability that the response came from a wife?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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To better understand how husbands and wives feel about their finances, Mo11ey Magazi11e conducted a national poll of 1010 married adults age 25 and older with household incomes of $50,000 or more (1\!1011ey Magazi11ewebsite, December 14, 2014). Consider the following example set of responses to the question, "Who is better at getting deals?"

                            Who is better

Respondent    I am    My Spouse    We are equal

Husband       278          127                   102

Wife              290           111                  102

 

a. Develop a joint probability table and use it to answer the following questions.

b. Construct the marginal probabilities for Who Isbetter (I Am, My Spouse, We Are Equal).

c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife?

d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?

e. Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband?

f. Given a response "Vie are equal;' what is the probability that the response came from a husband? What is the probability that the response came from a wife?

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