In: Statistics and Probability
To better understand how husbands and wives feel about their finances, a magazine conducted a national poll of 1,017 married adults age 25 and older with household incomes of $50,000 or more. Consider the following example set of responses to the question "Who is better at getting deals?"
Respondent | I Am | My Spouse | We Are Equal |
---|---|---|---|
Husband | 278 | 129 | 103 |
Wife | 291 | 113 | 103 |
(a)
Develop a joint probability table and use it to answer the following questions. (Round your answers to four decimal places.)
Response | Totals | ||||
---|---|---|---|---|---|
I am | My Spouse | We Are Equal | |||
Spouse | Husband | ||||
Wife | |||||
Totals |
(b)
According to the marginal probabilities, what is the most likely response?
I ammy 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? (Round your answer to four decimal places.)
(d)
Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband? (Round your answer to four decimal places.)
(e)
Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband? (Round your answer to four decimal places.)
(f)
Given a response "We are equal," what is the probability that the response came from a husband?
What is the probability that the response came from a wife?