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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