Question

Use the given data to find the minimum sample size required to estimate the population proportion. margin of​ error: 0.0080.008​; confidence​ level: 9999​%; modifyingabove p with caretp and modifyingabove q with caretq unknown

Answer 1

Formula for the Minimum Sample size
`n=((z)/(E))^2\hat{p}\hat{q}`

The least biased estimate for p and q is 1/2.

`z_{(\alpha )/(2)}=z_{{0.01}{2}}=2.58`

Thus

`n=((2.58)/(0.08))^2*0.5*0.5`

`n=260.015`

`n\approx260`