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Solution: Constructing and Interpreting Confidence

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

Solution for problem 16BSC 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 16BSC

Problem 16BSC

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 an Angus Reid Public Opinion poll in which respondents were asked if they felt that U.S. nuclear weapons made them feel safer: n = 1005, x = 543 who said “yes.” Use a confidence level of 80%.

Step-by-Step Solution:
Step 1 of 3

Solution 16BSC

  1.  The point estimate of the population proportion is =0.540.
  2.  The required value is E = 0.020.
  3.  The 80% confidence interval for the population proportion p is 0.520<p<0.560
  4. From the above confidence interval we can say that, we are 80% confident that the estimated population proportion will be lie between 0.520 and 0.560.
Step 2 of 3

Chapter 7.2, Problem 16BSC is Solved
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Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solution: Constructing and Interpreting Confidence