Question

Express the confidence interval (04990551) in the form of pE. Type an integer or a decimal.) Enter your answer in each of the answer boxes

Answer 1

Given confidence interval is ( 0.499 , 0.551)

We express confidence interval in terms of $\hat{p}$ and E as ( $\hat{p}$ - E , $\hat{p}$ + E)

So,

$\hat{p}$ - E = 0.499 and $\hat{p}$ + E = 0.551

Solve these two equations by adding

2 $\hat{p}$ = 0.499 + 0.551

$\hat{p}$ = 0.525

Put this value of $\hat{p}$ in equation $\hat{p}$ + E = 0.551 and solve for E

0.525 + E = 0.551

E = 0.026

Confidence interval in the form $\hat{p}$ $\pm$ E = 0.525 $\pm$ 0.026