Question

In: Statistics and Probability

Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll...

Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll that will estimate the percentage of voters who support him with a 7% margin of error at a 99% confidence level. How many random voters does Marge need to poll?  Be sure to round accordingly.

Marge would need to survey (answer)   voters in order to be within a 7% margin of error at a 99% confidence level.

Solutions

Expert Solution

Solution :

Given that,

= 0.5

1 - = 0.5

margin of error = E = 7% = 0.07

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 / 0.07)2 * 0.5 * 0.5

=338.56

Sample size = 339


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