A survey of 1084 Californian males (age 18 and over) indicated more than half did not...
A survey of 1084 Californian males (age 18 and over) indicated more than half did not have a physical exam or blood cholesterol check. A medical researcher plans to sample men in the local community to see if similar results occur. How large a random sample would he need to estimate this proportion to within 0.05 and probability of 0.95?
Homework Answers
Solution,
Given that,
= 1 -
= 0.5
margin of error = E = 0.05
At 95% confidence level
= 1 - 95%
= 1 - 0.95 =0.05
/2
= 0.025
Z/2
= Z0.025 = 1.96
sample size = n = (Z / 2 / E )2 *
* (1 -
)
= (1.96 / 0.05)2 * 0.5 * 0.5
= 384.16
sample size = n = 385
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