# Construct a Contingency Table

Question 1

The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics.

For Neutral Against Totals

Female 38 54 12 104

Male 12 36 48 96

Totals 50 90 60 200

Find the probability that a randomly selected

a)person would be male

b)person would be for the funding

c)person would both female and neutral for funding

d)female would be against the funding

e)supporter of funding would be female

Question 2

A survey of 200 students showed the following:

130 were business majors

140 lived in the city

40 neither lived in the city or were business majors

a) Construct a contingency table for this data.

b) Find the probability that a randomly selected student will be both a city resident and a business major.

c)Is a business major more likely to be a city resident than a nonbusiness major? Why, or why not?

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#### Solution Preview

1) The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics.

For Neutral Against Totals

Female 38 54 12 104

Male 12 36 48 96

Totals 50 90 60 200

Find the probability that a randomly selected

a) person would be male

b) person would be for the funding

c) person would both female and neutral for funding

d) female would be against the funding

e) supporter of funding would be female

Solution:

a) There are 200 people, out of that 96 are male.

The ...

#### Solution Summary

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