. The Division of Traffic and Parking at a large university wants to know the percentage of tudents who used the campus bus system last week. They take a random sample of four nundred students from their list of students with parking stickers and find that 20% of them have used the bus system during the past week. The results of this survey are reported as follows: "With 95% confidence, the percentage of students using the bus system lies in the range 20%± 4%." 39

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Sampling Exercises
Chapters 1-4
1. The Division of Traffic and Parking at a large university wants to know the percentage of
students who used the campus bus system last week. They take a random sample of four
hundred students from their list of students with parking stickers and find that 20% of them have
used the bus system during the past week. The results of this survey are reported as follows:
"With 95% confidence, the percentage of students using the bus system lies in the range 20% ±
4%."
a. Identify each of the following:
parameter
population
sample
sample statistic
level of confidence
margin of error
sampling frame
b. This survey is likely to be biased because:
i) the sampling frame is not the same as the population.
ii) the margin of error is too large.
iii) of nonresponse bias.
Pick one and briefly explain (including a statement of whether the problem is a type of
sampling error or a type of non-sampling error).
2. A random sample of 900 people was taken in Chicago to estimate the percentage of Chicago
voters that favor an end to the U.S. embargo against Cuba. The results of this survey are given
as a 95% confidence interval that turns out to be 53% ± 3.4%.
a. If we had calculated a 99% confidence interval for this poll, how would the margin of
error have been different? Explain.
b. A second poll, using the same methods, is taken of 900 people in Columbus, Ohio, which
has about one-fourth as many voters as Chicago. Will the margin of error for a 95%
confidence interval in the Columbus poll be larger than 3.4%, smaller than 3.4%, or about
MacBook Air
FB
F5
Transcribed Image Text:Sampling Exercises Chapters 1-4 1. The Division of Traffic and Parking at a large university wants to know the percentage of students who used the campus bus system last week. They take a random sample of four hundred students from their list of students with parking stickers and find that 20% of them have used the bus system during the past week. The results of this survey are reported as follows: "With 95% confidence, the percentage of students using the bus system lies in the range 20% ± 4%." a. Identify each of the following: parameter population sample sample statistic level of confidence margin of error sampling frame b. This survey is likely to be biased because: i) the sampling frame is not the same as the population. ii) the margin of error is too large. iii) of nonresponse bias. Pick one and briefly explain (including a statement of whether the problem is a type of sampling error or a type of non-sampling error). 2. A random sample of 900 people was taken in Chicago to estimate the percentage of Chicago voters that favor an end to the U.S. embargo against Cuba. The results of this survey are given as a 95% confidence interval that turns out to be 53% ± 3.4%. a. If we had calculated a 99% confidence interval for this poll, how would the margin of error have been different? Explain. b. A second poll, using the same methods, is taken of 900 people in Columbus, Ohio, which has about one-fourth as many voters as Chicago. Will the margin of error for a 95% confidence interval in the Columbus poll be larger than 3.4%, smaller than 3.4%, or about MacBook Air FB F5
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