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Solved: Constructing and Interpreting Confidence

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 14BSC Chapter 7.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

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:

Answer

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

Chapter 7.2, Problem 14BSC is Solved
Step 4 of 4

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solved: Constructing and Interpreting Confidence

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