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2 answers:
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Answer:
(0.0757;0.1403)
Step-by-step explanation:
1) Data given and notation
Republicans =115
Democrats=331
Independents=54
Total= n= 115+331+54=500
Confidence=0.98=98%
2) Formula to use
The population proportion have the following distribution
The confidence interval for the population proportion is given by this formula
We have the proportion of independents calculated
We can calculate
And we can find , with this value we can find the critical value
using the normal distribution table, excel or a calculator.
On this case
3) Calculating the interval
And now we can calculate the interval:
So the 98% confidence interval for this case would be:
(0.0757;0.1403)