The graph below displays the sample sizes and percentages of people in different

Question

The graph below displays the sample sizes and percentages of people in different age and gender groups who were polled concerning their approval of Mayor Ford's actions in office. The total number in the sample of all the age groups is 1,045.

Part (a)

Define three events in the graph. (Select all that apply.)

The individual is between 18 and 34 years of age.

The individual is male.The individual has children.

The individual is under 18 years of age.

The individual approves of Mayor Ford.

The individual is married.

Part (b)

Describe in words what the entry 40 means.

the percent of all ages groups that disapprove of Mayor Ford

the percent of the age group 35 to 44 that approve of Mayor Ford     

the percent of females that approve of Mayor Ford

the percent of males that disapprove of Mayor Ford

the percent of all age groups that approve of Mayor Ford

Part (c)

Describe in words the complement of the entry in part (b).

the percent of females that disapprove of Mayor Ford

the percent of all age groups that disapprove of Mayor Ford     

the percent of all ages groups that approve of Mayor Ford

the percent of males that approve of Mayor Ford

the percent of the age group 35 to 44 that disapprove of Mayor Ford

Part (d)

Describe in words what the entry 30 means.

the percent of females between 35 and 44 years of age that approve of Mayor Ford

the percent of females that approve of Mayor Ford     

the percent of the age group 18 to 34 that disapprove of Mayor Ford

the percent of males over 65 years old that disapprove of Mayor Ford

the percent of the age group 18 to 34 that approve of Mayor Ford

Part (e)

Out of the males and females, what percent are females? (Round your answer to one decimal place.)
____%

Part (f)

Out of the males, what percent disapprove of Mayor Ford? (Enter your answer as a whole number.)
____%

Part (g)

Out of all the age groups, what percent disapprove of Mayor Ford? (Enter your answer as a whole number.)
_____ %

Part (h)

Find

P(Approve|Male).

(Enter your answer to two decimal places.)

P(Approve|Male) =

Part (i)

Out of the age groups, what percent are more than 44 years old? (Round your answer to one decimal place.)
____%

Part (j)

Find

P(Approve|Age < 35).

(Enter your answer to two decimal places.)

P(Approve|Age < 35) =

1200 1045 1000 800 600 567 478 400 331 268 226 200 138 40 60 820 41 59 45 55 49 51 48 52 44 56 63 37 0 Total 18-34 35-44 45-54 55-64 65+ Male Female Sample 11 Percent approve Percent disapprove

Explanation / Answer

Part (a)
The individual is between 18 and 34 years of age.
The individual is male.
The individual approves of Mayor Ford.

Part (b)
Entry 40 represents the percent of all age groups that approve of Mayor Ford

Part (c)
the percent of all age groups that disapprove of Mayor Ford

Part (d)
the percent of the age group 18 to 34 that approve of Mayor Ford

Part (e)
There are total 1045 individuals
% of female = 567/1045 = 54.3%

Part (f)
56% disapprove of Mayor Ford.

Part(g)
60% disapprove of Mayor Ford.

part (h)
P(approve|male) = 0.44

part (i)
% more than 44 years old = (226 + 268 + 331)/1045 = 78.95% = 79%

part (j)
P(Approve|age < 35) = 0.3

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