A sample of 2,000 people yielded $\hat { p }$
= )52.Calculate a 99 percent confidence interval for p.
A) $\left[ \begin{array} { l l }
.515 & .525
\end{array} \right]$
B) $[ .494 \quad .546 ]$
C) $[ .506 \quad .534 ]$
D) $[ .491 \quad .549 ]$

Question

A sample of 2,000 people yielded $\hat { p }$
= )52.Calculate a 99 percent confidence interval for p.
A) $\left[ \begin{array} { l l } 
.515 & .525
\end{array} \right]$
B) $[ .494 \quad .546 ]$
C) $[ .506 \quad .534 ]$
D) $[ .491 \quad .549 ]$

Quizplus · Accepted Answer

The confidence interval is calculated using the formula $\hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$. For a 99% confidence level, Z is approximately 2.576. Plugging in $\hat{p} = 0.52$ and $n = 2000$, the interval is approximately $[0.491, 0.549]$.

A Sample of 2,000 People Yielded p^\hat { p }p^​ = )52Calculate a 99 Percent Confidence Interval for P

A Sample of 2,000 People Yielded $\hat { p }$ = )52Calculate a 99 Percent Confidence Interval for P