**Question:**Political Science, Inc. (PSI) specializes in voter polls and surveys designed to keep political office seekers informed of their position in a race. Using telephone surveys, interviewers ask registered voters who they would vote for if the election were held that day. Experts provide a best guess estimate that 44% of voters prefer the candidate. Suppose that PSI would like 99% confidence that the sample proportion is within ± 0.03 of the population proportion. What sample size is needed to provide the desired margin of error?**Options:**- 1817- 587- 102- 1012**Explanation:**This question involves determining the appropriate sample size for a survey to achieve a specified margin of error and confidence level. The goal is to calculate the sample size needed for the sample proportion to be within a ± 0.03 margin of error, with 99% confidence, given an estimated population proportion of 44%. The answer choices provided are potential sample sizes.

Given,margin of error(E)=0.03sample proportion(p^)=0.44α=1-0.99=0.01α2=0.005Z0.005=2.5758 (from Z-table)sample size(n)=Zα2E2 ×p^(1-p^)sample size(n)=2.57580.032 ×0.44×1-0.44sample size(n)=1816.45sample size(n)≅1817

Answered: 12. Political Science, Inc. (PSI)…

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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