Step-by-step explanation:
Sample proportion [tex]\hat{p} = 260/380 = 0.684[/tex]
90% confidence interval for p is
[tex]\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)[/tex]
[tex]0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)[/tex]
0.645 < p < 0.723
Interpretation - We estimate with 90% confidence that the true population proportion of people who plan on voting yes on the levy between 0.645 and 0.723.
