b.Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 95 percent confidence interval for the proportion of people who will have received fluvaccine is to be constructed. Using 0.5 as your estimated proportion, what is the smallest sample size that can be used to guarantee that the margin oferror will be less than or equal to 0.02?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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During a flu vaccine shortage in the United States, less than a majority ofpeople were able to receive the vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine.

 

b.Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 95 percent confidence interval for the proportion of people who will have received fluvaccine is to be constructed. Using 0.5 as your estimated proportion, what is the smallest sample size that can be used to guarantee that the margin oferror will be less than or equal to 0.02?

Expert Solution
Step 1

Given data,

p=0.5

E=0.02

z-value at 95% confidence is Zc=1.96

n=?

 

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