A recent study of 750 internet users in Europe found that 35% of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe
Who use the internet?
A) $0.309

Question

A recent study of 750 internet users in Europe found that 35% of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe
Who use the internet? 
A) $0.309 < p < 0.391$
B) $0.321 < p < 0.379$
C) $0.316 < p < 0.384$
D) $0.349 < p < 0.351$

Quizplus · Accepted Answer

The confidence interval is calculated using the formula for a proportion: $\hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$, where $\hat{p} = 0.35$, $Z = 1.96$ for 95% confidence, and $n = 750$. This calculation results in the interval $0.316 < p < 0.384$.

A Recent Study of 750 Internet Users in Europe Found 0.309<p<0.3910.309 < p < 0.3910.309<p<0.391

A Recent Study of 750 Internet Users in Europe Found $0.309 < p < 0.391$