Call me: A sociologist wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in New York who own a smartphone. Part 1 of 3 (a) A survey by the National Consumers League estimated the nationwide proportion to be 0.29. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02 ? A sample of 1977 children aged 8-10 living in New York is needed to obtain a 95% confidence interval with a margin of error of 0.02 using the estimate 0.29 for p. Part: 1 / 3 Part 2 of 3 (b) Estimate the sample size needed if no estimate of p is available. A sample of children aged 8-10 living in New York is needed to obtain a 95% confidence interval with a margin of error of 0.02 when no estimate of p is available. X

Call me: A sociologist wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in New York who own a smartphone. Part 1 of 3 (a) A survey by the National Consumers League estimated the nationwide proportion to be 0.29. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02 ? A sample of 1977 children aged 8-10 living in New York is needed to obtain a 95% confidence interval with a margin of error of 0.02 using the estimate 0.29 for p. Part: 1 / 3 Part 2 of 3 (b) Estimate the sample size needed if no estimate of p is available. A sample of children aged 8-10 living in New York is needed to obtain a 95% confidence interval with a margin of error of 0.02 when no estimate of p is available. X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Part 2 Estimate the sample size needed if no estimate of p is available.

Call me: A sociologist wants to construct a 95% confidence interval for the
proportion of children aged 8-10 living in New York who own a smartphone.
Part 1 of 3
(a) A survey by the National Consumers League estimated the
nationwide proportion to be 0.29. Using this estimate, what sample size is
needed so that the confidence interval will have a margin of error of 0.02
?
A sample of 1977 children aged 8-10 living in New York is needed to
obtain a 95% confidence interval with a margin of error of 0.02 using
the estimate 0.29 for p.
Part: 1 / 3
Part 2 of 3
(b) Estimate the sample size needed if no estimate of p is available.
A sample of children aged 8-10 living in New York is
needed to obtain a 95% confidence interval with a
margin of error of 0.02 when no estimate of p is
available.
X

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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