R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. I a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain. d) Is this method unbiased in generating samples of house- holds? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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R3.29. Homecoming A college statistics class conducted a survey
concerning community attitudes about the college's large
homecoming celebration. That survey drew its sample in the
following manner: Telephone numbers were generated at
random by selecting one of the local telephone exchanges
(first three digits) at random and then generating a random
four-digit number to follow the exchange. If a person an-
swered the phone and the call was to a residence, then that
person was taken to be the subject for interview. (Undergrad-
uate students and those under voting age were excluded,
as was anyone who could not speak English.) Calls were
placed until a sample of 200 eligible respondents had been
reached.
|
a) Did every telephone number that could occur in that
community have an equal chance of being generated?
b) Did this method of generating telephone numbers result
in a Simple Random Sample (SRS) of local residences?
Explain.
c) Did this method generate an SRS of local voters?
Explain.
d) Is this method unbiased in generating samples of house-
holds? Explain.
Transcribed Image Text:R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. | a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain. d) Is this method unbiased in generating samples of house- holds? Explain.
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