In a nationwide poll done in 2009, the proportion of respondents who thought that it should be illegal to use a handheld cellular telephone while driving a car was 0.78 (78%). The poll's sample size was 900. USE SALT (a) Find the value of the standard error of the sample proportion. (Round your answer to six decimal places.) (b) Find a 95% confidence interval estimate of the population proportion who think that places.) to (c) Find a 98% confidence interval estimate of the population proportion who think that places.) to should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal (d) Which of the intervals calculated in parts (b) and (c) is wider-the interval with 95% confidence or the interval with 98% confidence? O The 95% confidence interval is wider. O The 98% confidence interval is wider.

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
Problem 30PPS
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In a nationwide poll done in 2009, the proportion of respondents who thought that it should be illegal to use a handheld cellular telephone while driving a car was 0.78 (78%). The poll's sample size
was 900.
USE SALT
(a) Find the value of the standard error of the sample proportion. (Round your answer to six decimal places.)
(b) Find a 95% confidence interval estimate of the population proportion who think that it should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal
places.)
to
(c) Find a 98% confidence interval estimate of the population proportion who think that it should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal
places.)
to
(d) Which of the intervals calculated in parts (b) and (c) is wider-the interval with 95% confidence or the interval with 98% confidence?
The 95% confidence interval is wider.
The 98% confidence interval is wider.
Transcribed Image Text:In a nationwide poll done in 2009, the proportion of respondents who thought that it should be illegal to use a handheld cellular telephone while driving a car was 0.78 (78%). The poll's sample size was 900. USE SALT (a) Find the value of the standard error of the sample proportion. (Round your answer to six decimal places.) (b) Find a 95% confidence interval estimate of the population proportion who think that it should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal places.) to (c) Find a 98% confidence interval estimate of the population proportion who think that it should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal places.) to (d) Which of the intervals calculated in parts (b) and (c) is wider-the interval with 95% confidence or the interval with 98% confidence? The 95% confidence interval is wider. The 98% confidence interval is wider.
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