Question
Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question Are you currently living with your
Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?"
Yes | No | Totals | |
---|---|---|---|
Female | 93 | 156 | 249 |
Male | 109 | 142 | 251 |
Totals | 202 | 298 | 500 |
(a)Develop the joint probability table for these data and use it to answer the following questions.
Yes | No | Totals | |
---|---|---|---|
Female | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. |
Male | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. |
Totals | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. | Probabilities should be between 0 and 1. |
(b)What are the marginal probabilities?
P(18- to 34-year-old female)
=
P(18- to 34-year-old male)
=
P(responded yes)
=
P(responded no)
= (c)What is the probability of living with family given you are an 18- to 34-year-old female in this country? (Round your answer to four decimal places.) (d)What is the probability of living with family given you are an 18- to 34-year-old male in this country? (Round your answer to four decimal places.) (e)What is the probability of an 18- to 34-year-old in this country living with family? (f)If, in this country,50.2% of 18- to 34-year-olds are male, do you consider this a good representative sample? Why?Since
P(18- to 34-year-old male) =
in this sample, this ---Select--- seems does not seem like a good representative sample based on gender.
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