Example 4.4.7. One week before the election a new public poll is taken.In the two weeks between the polls, Candidate B increases his support amonglikely voters. The results of the new poll are 581 in favor of Candidate A, and769 in favor of Candidate B. Is the difference now statistically significant?CHAPTER 4. STATISTICS154The sample size is n = 1350, and the poll presents only two options, sothere is a common standard error.581For Candidate A, we have k = 581, so2 0.4303 or 43.03%. For1350769Candidate B, we have k = 769, so p =2 0.5696 or 56.96%.13500.4304 × (1 – 0.4304)The standard error is st.err. ~- 0.0135 or13501.35%.The confidence interval for Candidate A goes from 43.03 – 2 x 1.35 to43.03 + 2 x 1.35, that is from 40.33% to 45.73%.The confidence interval for Candidate B goes from 56.96 – 2 × 1.35 to56.96 + 2 x 1.35, that is from 54.26% to 59.66%.As we can see below, the confidence interval for Candidate B is com-pletely to the right of the interval for Candidate A. Candidate B now has astatistically significant advantage over Candidate A.A士40.3343.0345.73ВE*******I*******I54.2656.9659.66Figure 4.19: Non-overlapping Confidence Intervals for Two CandidatesBoth candidates still have one more week to go before the election. Whoknows what may happen. 42. Show that in Example 4.4.7, page 153, the difference between the twocandidates is statistically significant even at a confidence level of 99.7%.

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Description: Example 4.4.7. One week before the election a new public poll is taken.In the two weeks between the polls, Candidate B increases his support amonglikely voters. The results of the new poll are 581 in favor of Candidate A, and769 in favor of Candidat

Answered: 42. Show that in Example 4.4.7, page…

Math

Statistics

42. Show that in Example 4.4.7, page 153, the difference between the two candidates is statistically significant even at a confidence level of 99.7%.

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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