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# Solved: Constructing and Interpreting Confidence ISBN: 9780321836960 18

## Solution for problem 14BSC Chapter 7.2

Elementary Statistics | 12th Edition

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Problem 14BSC

Constructing and Interpreting Confidence Intervals.    In Exercises use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.

From a 3M Privacy Filters poll in which respondents were asked to identify their favorite seat when they fly: n = 806, x = 492 who chose the window seat. Use a 99% confidence level.

Step-by-Step Solution:

Step 1 of 4</p>

Given x=492 , n=806

a)The best point estimate of the population proportion p=x/n

=492/806

=0.61

q=1-p

=1-0.61

=0.39

Step 2 of 4</p>

b)The margin of error E=2.58 =2.58 =2.58(0.017)

=0.044

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321836960

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