Answered: poll reported that only 645 out of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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Follow-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.)

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 ___

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 ___

D. There is a ____% chance that the sample proportion of adults having a great deal or quite a lot of confidence in the public schools is between ___ and ___

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