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McGraw-Hill Math Grade 7 Answer Key Lesson 22.6 Sampling
Exercises
EVALUATE
Question 1.
To predict who will become the next president of the United States, a news organization asked people leaving voting sites around the country who they had just voted for. Who is the population in this situation? What is the sample group in this situation?
Answer:
All the voters in the United States;
People who voted at certain voting sites.
Explanation:
A sample is a group with in the larger population surveys or poll are done on just a sample of the population, and the results are projected on to the larger population.
As whole for the conclusions drawn to be valid the sample must be representative of the population.
To predict who will become the next president of the United States,
a news organization asked people leaving voting sites around the country who they had just voted.
The population in this situation is voters in the United States;
People who voted at certain voting sites are the sample group in this situation.
Question 2.
The high school principle wants to find out which elective class the 200 students at her school prefer. Which sampling method should she use?
(a) ask all the students in the chess club
(b) ask all the seniors
(c) ask the first 25 students in an alphabetical list of all the students
Answer:
Option(C)
Explanation:
There are two types of sampling methods:
Probability sampling method :
Involves random selection, allowing you to make strong statistical inferences about the whole group.
Non-probability sampling method :
Involves non-random selection based on convenience or other criteria, allowing you to easily collect data.
The high school principle wants to find out which elective class the 200 students at her school prefer,
ask the first 25 students in an alphabetical list of all the students.
Question 3.
Kai has a giant bag of red, yellow, and blue marbles. He wants to find out approximately what percent are blue, but doesn’t want to count every marble in the bag. Which sampling method should he use?
(a) Shake up the bag, pull out 30 marbles, and see how many are blue.
(b) Reach into the bag and grab the biggest marbles he can feel.
(c) Pull out three marbles from the top of the bag and see how many are blue.
Answer:
Option(A)
Explanation:
There are two types of sampling methods:
Probability sampling method :
Involves random selection, allowing you to make strong statistical inferences about the whole group.
Non-probability sampling method :
Involves non-random selection based on convenience or other criteria, allowing you to easily collect data.
To find out approximately what percent are blue,
but doesn’t want to count every marble in the bag,
Shake up the bag, pull out 30 marbles, and see how many are blue.
Question 4.
Mrs. Webster is the coordinator for the school field trip and is trying to decide between a trip to the museum or a trip to the zoo. She decides to do a survey of some of the students about their preference. Who should she survey?
(a) 30 students chosen at random by the office computer
(b) all the girls in the school
(c) the first 30 students to arrive at school
Answer:
Option(A)
Explanation:
There are two types of sampling methods:
Probability sampling method :
Involves random selection, allowing you to make strong statistical inferences about the whole group.
Non-probability sampling method :
Involves non-random selection based on convenience or other criteria, allowing you to easily collect data.
Mrs. Webster is the coordinator for the school field trip and is trying to decide between a trip to the museum or a trip to the zoo.
She decides to do a survey of some of the students about their preference 30 students chosen at random by the office computer.
Question 5.
In a random sampling of 100 fish caught in a fishing net in a river, there were 39 trout, 19 flounder, and 42 perch. Which of the following is the most valid conclusion?
(a) Perch is the most common fish in the river.
(b) The river has about twice as many perch and trout as it does flounder.
(c) There are only three kinds of fish in the river.
Answer:
Option(B)
Explanation:
There are two types of sampling methods:
Probability sampling method :
Involves random selection, allowing you to make strong statistical inferences about the whole group.
Non-probability sampling method :
Involves non-random selection based on convenience or other criteria, allowing you to easily collect data.
In a random sampling of 100 fish caught in a fishing net in a river,
there were 39 trout, 19 flounder, and 42 perch,
the river has about twice as many perch and trout as it does flounder.