(b) Construct and interpret a 90% confidence interval for the proportion of all parents of teens aged 13 to 17 who have checked which web sites their teens visit. By assuming the selected parents formed a random sample from the population of all parents of teens aged 13 to 17, we may construct a confidence interval for the population proportion. The confidence interval will have the following form where p is the sample proportion, the z critical value captures the central area equal to the confidence level as a proportion, and n is the sample size. p ± (z critical value) p(1 – p) We have already determined p = 0.64 and n= 1,030, so we must now determine the z critical value that will be used. For a 90% confidence interval, we will be capturing the central area of 0.90 under the z curve between -z* and z'. To find z", recall the entire area under the z curve is 1. The remaining area of 1 - 0.90 - 0.10 will be split evenly between the lower and upper tails of the curve. That is, both the lower and upper tails of the curve will each have an area of (0.10) = This will be added to the central area of 0.90, so the total area to the left of the desired z* is Use SALT to find the critical value of z, rounding the result to two decimal places.
(b) Construct and interpret a 90% confidence interval for the proportion of all parents of teens aged 13 to 17 who have checked which web sites their teens visit. By assuming the selected parents formed a random sample from the population of all parents of teens aged 13 to 17, we may construct a confidence interval for the population proportion. The confidence interval will have the following form where p is the sample proportion, the z critical value captures the central area equal to the confidence level as a proportion, and n is the sample size. p ± (z critical value) p(1 – p) We have already determined p = 0.64 and n= 1,030, so we must now determine the z critical value that will be used. For a 90% confidence interval, we will be capturing the central area of 0.90 under the z curve between -z* and z'. To find z", recall the entire area under the z curve is 1. The remaining area of 1 - 0.90 - 0.10 will be split evenly between the lower and upper tails of the curve. That is, both the lower and upper tails of the curve will each have an area of (0.10) = This will be added to the central area of 0.90, so the total area to the left of the desired z* is Use SALT to find the critical value of z, rounding the result to two decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
ch9 q8

Transcribed Image Text:(b) Construct and interpret a 90% confidence interval for the proportion of all parents of teens aged 13 to 17 who have checked
which web sites their teens visit.
By assuming the selected parents formed a random sample from the population of all parents of teens aged 13 to 17, we may
construct a confidence interval for the population proportion. The confidence interval will have the following form where p is the
sample proportion, the z critical value captures the central area equal to the confidence level as a proportion, and n is the sample
size.
p ± (z critical value)
p(1 – p)
We have already determined p = 0.64 and n= 1,030, so we must now determine the z critical value that will be used. For a 90%
confidence interval, we will be capturing the central area of 0.90 under the z curve between -z* and z'.
To find z", recall the entire area under the z curve is 1. The remaining area of 1 - 0.90 - 0.10 will be split evenly between the lower
and upper tails of the curve. That is, both the lower and upper tails of the curve will each have an area of (0.10) =
This will be added to the central area of 0.90, so the total area to the left of the desired z* is
Use SALT to find the critical value of z, rounding the result to two decimal places.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman