Question
A simple random sample of 700 elements generates a sample proportion p_= 0.80 . a. Provide...
A simple random sample of 700 elements generates a sample proportion p_= 0.80 .
a. Provide the 95% confidence interval for the population proportion (to 4 decimals). (_,_)
b. Provide the 99% confidence interval for the population proportion (to 4 decimals). (_,_)
Homework Answers
Answer #1
Given that, sample size (n) = 700
sample proportion 
=
0.80
a) A 95% confidence level has significance level of 0.05 and
critical value is, 
The 95% confidence interval for the population proportion (p) is,
Therefore, confidence interval is, (0.7704, 0.8296)
b) A 99% confidence level has significance level of 0.01 and
critical value is, 
The 99% confidence interval for the population proportion (p) is,
Therefore, confidence interval is, (0.7611, 0.8389)
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