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In: Statistics and Probability

28) Margin of error: 0.009; confidence level: 99%; from a prior study, p^ is estimated by...

28) Margin of error: 0.009; confidence level: 99%; from a prior study, p^ is estimated by 0.146.

Solutions

Expert Solution

Solution :

Given that,

= 0.146

1 - = 1 - 0.146 = 0.854

margin of error = E = = 0.009

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58    ( Using z table )

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

= (2.58 / 0.009)2 * 0.146 * 0.854

=10246.25

Sample size = 10246


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