Victor conducted a similar survey among undergraduate students at the University of Michigan using a random sample of the same sample size from the study conducted at Cornell University and obtained the same sample proportion. The undergraduate student body at the University of Michigan is almost twice as large as the undergraduate student body at Cornell University. Victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. Do you agree with Victor's concern? O Yes, because he needs to have a similar portion of the population in his sample. O Yes, because the confidence interval assumptions require a large population. O No, because the margin of error is not affected by the population size. O No, because the sample will be representative of the population.

Victor conducted a similar survey among undergraduate students at the University of Michigan using a random sample of the same sample size from the study conducted at Cornell University and obtained the same sample proportion. The undergraduate student body at the University of Michigan is almost twice as large as the undergraduate student body at Cornell University. Victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. Do you agree with Victor's concern? O Yes, because he needs to have a similar portion of the population in his sample. O Yes, because the confidence interval assumptions require a large population. O No, because the margin of error is not affected by the population size. O No, because the sample will be representative of the population.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Question

Answer question 9.2

While adapting to remote learning, everyone is met with a new set of challenges.
For instructors at Cornell University, one of these challenges includes students
not turning on their cameras during synchronous class meetings held via
videoconferencing.
Based on a large random sample of undergraduate students at Cornell
University, with 90% confidence, it is estimated that between 43.26% and 52.74%
of all Cornell University students turn on their cameras during online synchronous
learning.

Victor conducted a similar survey among undergraduate students at the
University of Michigan using a random sample of the same sample size from the
study conducted at Cornell University and obtained the same sample proportion.
The undergraduate student body at the University of Michigan is almost twice as
large as the undergraduate student body at Cornell University.
Victor is concerned that the computation of the margin of error for a confidence
interval for the population proportion will be affected by the population size. Do
you agree with Victor's concern?
Yes, because he needs to have a similar portion of the population in his
sample.
Yes, because the confidence interval assumptions require a large population.
O No, because the margin of error is not affected by the population size.
No, because the sample will be representative of the population.

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