[tex]\hat{p}=\frac{12}{25}=0.48[/tex]
An approximate 90% confidence interval for the true population proportion p is given by:
[tex]\hat{p}\pm 1.645 \sqrt{\frac{0.48(1-0.48)}{25}} =\hat{p}\pm0.164[/tex]
The correct choice of answer is the second one (b).
