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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need help with questions 4 and 5 only !
Problem III
A political poll was conducted to predict the outcome of a race for mayor between
Maggie Adams and Lucy Brown. The pollster's conclusion was based on information
regarding the population parameter p = Pr(favoring Brown).
1. If the point estimate of p is .46, with a 95% margin of error of .05, then the pollster's
conclusion would be:
A. predict Brown wins
A. predict Brown wins
2. If the point estimate of p is .56, with a 95% margin of error of .04, then the pollster's
conclusion would be:
A. predict Brown wins
Part 95% CI
1 C
2
3 (
B. predict Adams wins
3. If the point estimate of p is .45, with a 95% margin of error of .03, then the pollster's
conclusion would be:
"
B. predict Adams wins
A. 80% confidence interval
C. race is too close to call
C. 98% confidence interval
B. predict Adams wins
4. For each of Parts 1, 2, and 3 above, fill in the following table giving the 95% confidence
interval for p:
C. race is too close to call
C. race is too close to call
5. For a given set of data, which of the following confidence intervals for p will be wider
than a 95% confidence interval? (Circle all answers that apply.)
B. 99% confidence interval
D. 90% confidence interval
Transcribed Image Text:Problem III A political poll was conducted to predict the outcome of a race for mayor between Maggie Adams and Lucy Brown. The pollster's conclusion was based on information regarding the population parameter p = Pr(favoring Brown). 1. If the point estimate of p is .46, with a 95% margin of error of .05, then the pollster's conclusion would be: A. predict Brown wins A. predict Brown wins 2. If the point estimate of p is .56, with a 95% margin of error of .04, then the pollster's conclusion would be: A. predict Brown wins Part 95% CI 1 C 2 3 ( B. predict Adams wins 3. If the point estimate of p is .45, with a 95% margin of error of .03, then the pollster's conclusion would be: " B. predict Adams wins A. 80% confidence interval C. race is too close to call C. 98% confidence interval B. predict Adams wins 4. For each of Parts 1, 2, and 3 above, fill in the following table giving the 95% confidence interval for p: C. race is too close to call C. race is too close to call 5. For a given set of data, which of the following confidence intervals for p will be wider than a 95% confidence interval? (Circle all answers that apply.) B. 99% confidence interval D. 90% confidence interval
Expert Solution
Introduction

Confidence interval are used to measure the range where the true value of the proportion ranges. It is calculated by the combined value of sample statistic and the margin of error. Margin of error is the combined value of critical value and the standard error. Confidence interval for the one sample proportion will be :

p^±MOE

where, 

MOE=zα2×p^1-p^n

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