Question
In: Statistics and Probability
A random sample of 225 items from a population results in 60% possessing a given characteristic....
A random sample of 225 items from a population results in 60% possessing a given characteristic. Using this information, the researcher constructs a 99% confidence interval to estimate the population proportion. The resulting confidence interval is _______.
Solutions
Expert Solution
Solution :
Given that,
n = 225
=60% = 0.60
1 -
= 1 - 0.60= 0.40
At 99% confidence level the z is ,
= 1 - 99% = 1 - 0.99 =
0.01
/ 2 = 0.01 / 2 = 0.005
Z/2
= Z0.005 = 2.576
Margin of error = E = Z
/ 2 * 
* (1 -
)) / n)
= 2.576 * (
A 99 % confidence interval for population proportion p is ,
- E < P <
+ E
0.60 - 0.0841 < p < 0.60 +0.0841
0.5159 < p <0.6841
The 99% confidence interval for the population proportion p is : ( 0.5159 , 0.6841)
orchestra answered 1 year agoRelated Solutions
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