Question

Express the confidence interval (0.038,0.088) in the form of p−E

Answer 1

Given:

`confidence-interval:(0.038,0.088)`

To Determine:The expression of the given in the form

`\begin{gathered} p=(0.126)/(2) \\ p=0.063 \end{gathered}`

Therefore, we have

`\begin{gathered} So \\ \hat{p}-E=0.038 \\ 0.063-E=0.038 \\ 0.063-0.038=E \\ 0.025=E \\ OR \end{gathered}`
`\begin{gathered} \hat{p}+E=0.088 \\ 0.063+E=0.088 \\ E=0.088-0.063 \\ E=0.025 \end{gathered}`

Hence, we have

0.063 - 0.025 < p < 0.063 + 0.025