Question

Example: 4

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046 people to measure the mayor’s popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

• In early 2011, 60 percent of the population approved of Mayor Ford’s actions in office.

• In mid-2011, 57 percent of the population approved of his actions.

• In late 2011, the percentage of popular approval was measured at 42 percent.

1. What is the sample size for this study?

2. What proportion in the poll disapproved of Mayor Ford, according to the    

results from late 2011?

3. How many people polled responded that they approved of Mayor Ford in    

late 2011?

4. What is the probability that a person supported Mayor Ford, based on   

the data collected in mid-2011?

5. What is the probability that a person supported Mayor Ford, based on the  

data collected in early 2011?

Answer 1

Solution:

Answer a) forum researched 1046 people from Toronto.

1046 (given in problem)

Answer b) In late 2011, the percentage of popular approval was measured at 42 percent.

So Disapproval = 1- approval = 1-0.42 = 0.58 = 58%

Answer b) 58%

c)  people polled responded that they approved of Mayor Ford in late 2011 = 42% of sample size = 0.42*1046

= 439

d)  probability that a person supported Mayor Ford, based on the data collected in mid-2011

In mid-2011, 57 percent of the population approved of his actions.

Answer : 0.57

e) probability that a person supported Mayor Ford, based on the data collected in early 2011

In early 2011, 60 percent of the population approved of Mayor Ford’s actions in office

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