Use the scenarios to categorize which choices best represent a population and which choices best represent a sample.
*A beverage company wants to see if people in the United States like their new logo.
*A famous rockband wants to see what what people, who bought their last album, think of their songs.
*Before a nation wide election, a polling place was trying to see who would win.
*A store owner wants to survey customers about their favorite toy.
*A mayor wants to see if the people in his town think he is doing a good job.
Drag the choices below to the correct category.
Does it represent a population or a sample?
The beverage company surveys every person in the United States
The band surveys a selection of 3,294 people who bought the album
The beverage company surveys a selection of shoppers from different states.
The store owner surveys all of the customers who buy toys
The band surveys every person who bought the album
A selection of voters of different ages are surveyed
242 voters are randomly selected from the town
The residents of the entire town are selected
All the voters are selected
The store owner randomly selects customers throughout the day
Population
Sample
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Question 4
4.
The 2003 team payroll of the Baltimore Orioles was $69,452,275.
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Question 5
5.
In a survey of a sample of US adults, 62 % owned a portable cellular phone.
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Question 6
6.
In a recent survey at the University of Arizona, 89 students were majoring in Astronomy.
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Question 7
7.
Nineteen percent of a sample of Indiana ninth graders surveyed smoked cigarettes daily.
In June 2008 Parade magazine posed the following question: “Should drivers be banned from using all cell phones?” Readers were encouraged to vote online at www.parade.com. The July 13, 2008, issue of Parade reported the results: 2407 (85%) said “Yes” and 410 (15%) said “No.”
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Question 8
8.
What type of sample did the Parade survey obtain?
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Question 9
9.
Explain why this sampling method is biased.
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Question 10
10.
Is 85% likely to be greater than or less than the percentage of all adults who believe that cellphone use while driving should be banned?
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Question 11
11.
Explain your answer from #10.
To help eliminate bias, a reporter from Parade decides she will go out and ask people in person if they think drivers should be banned from using cell phones. She lives close to the local high school so she goes to the parking lot at 3:00 pm and asks the first 100 people she sees.
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Question 12
12.
What type of sample did the Parade survey obtain?
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Question 13
13.
Explain why this sampling method is biased.
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Question 14
14.
Marianne wanted to know students' opinion on the new schedule at school. She places all students' names in a container and picks out 20 to survey.
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Question 15
15.
Researchers interview the first 30 students to enter the school doors in the morning.
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Question 16
16.
A car dealership assigns each car in a dealership a number and then uses a random-number table to select the cars to be inspected.
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Question 17
17.
A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.
She selects the first five students who raise their hands. What type of sampling is this?
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Question 18
18.
A candidate for student council wants to poll students to see how well his campaign is going. What collection method should he use to gather his information?
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Question 19
19.
In a recent poll to measure Hugo's progress in his election campaign, 74 out of 150 people in the random sampling support him in his efforts. What is the best conclusion based on the polls?