poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____.
poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____.
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
A poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____.
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Follow-up Question
Find the width of each interval by subtracting the lower proportion from the upper proportion, and state which interval is wider.
The width of the 95% confidence interval is ___ and the width of the 80% confidence interval is ____. The ___(80% or 95%)interval is wider.
Solution
by Bartleby ExpertFollow-up Question
Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals rounded to three decimal places as needed.)
A.
We are ___% confident that the population proportion of adults having a great deal or quite a lot of confidence in the public schools is between ___ and ___
We are ___% confident that the every sample proportion of adults having a great deal or quite a lot of confidence in the public schools is between ___ and ___
C.
There is a ___% chance that the population proportion of adults having a great deal or quite a lot of confidence in the public schools is between ___ and ___
Solution
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