Since the criteria for constructing a confidence interval for the population proportion p have been met, the confidence interval will have the following form where 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) n We have already determined p = 0.2 and n = 2,315, so must now determine the z critical value that will be used. For a 95% confidence interval, we will be capturing the central area of 0.95 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 1-0.95 = 0.05 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 (0.05) = [ x. This will be added to the central area of 0.95, so the total area to the left of the desired z is Use SALT to find the value of z, rounding the result to two decimal places.
Since the criteria for constructing a confidence interval for the population proportion p have been met, the confidence interval will have the following form where 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) n We have already determined p = 0.2 and n = 2,315, so must now determine the z critical value that will be used. For a 95% confidence interval, we will be capturing the central area of 0.95 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 1-0.95 = 0.05 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 (0.05) = [ x. This will be added to the central area of 0.95, so the total area to the left of the desired z is Use SALT to find the value of z, rounding the result to two decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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