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Chapter 8: Q 52. (page 523)

Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95%confidence and a margin of error no greater than 0.03. How large a random sample do we need?

Short Answer

Expert verified

Sample Size isn=1068

Step by step solution

01

Given Information

It is given that

Confidence Level =95%

E=0.03

Corresponding to95%, using tablesZ伪2=1.96

02

Concept Used

Formula to be used:

n=p^(1-p^)zaE2

03

Calculation 

Putting all values. sample size is calculated as:

=0.50(1-0.50)1.960.032

=1067.111

鈮�1068

Hence, sample size is1068

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