Question

Eric Garcetti, the mayor of Los Angeles, wants to estimate the percentage of all residents in...

Eric Garcetti, the mayor of Los Angeles, wants to estimate the percentage of all residents in
favor of lifting the safer-at-home order and returning to normal life. He wants to provide a margin of
error of no more than 1.8% with 99% confidence. How many residents should he sample to achieve this?

Homework Answers

Answer #1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 1.8% = 0.018

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.576   ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.576 / 0.018)2 * 0.5 * 0.5

=5120.19

Sample size = 5120

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