For each combination of sample size and sample proportion, find the approximate margin of error for the 95% confidence level. (Round the answers to three decimal places.) (a) n = 300, p̂ = 0.58. (b) n = 500, p̂ = 0.58. (c) n = 500, p̂ = 0.30.

For each combination of sample size and sample proportion, find the approximate margin of error for the 95% confidence level. (Round the answers to three decimal places.) (a) n = 300, p̂ = 0.58. (b) n = 500, p̂ = 0.58. (c) n = 500, p̂ = 0.30.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

100%

For each combination of sample size and sample proportion, find the approximate margin of error for the 95% confidence level. (Round the answers to three decimal places.)

(a) n = 300, p̂ = 0.58.

(b) n = 500, p̂ = 0.58.

(c) n = 500, p̂ = 0.30.

(d) n = 500, p̂ = 0.70.

(e) n = 1100, p̂ = 0.60.

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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