Question

Preliminary estimates suggest that about 58% of students at a state university favor implementing an honor code.

Answer 1

Answer: c. 1498

Step-by-step explanation:

Given : Preliminary estimates suggest that about 58% of students at a state university favor implementing an honor code.

i.e. p = 0.58

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Margin of error = $2.5\5=0.025$

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=(0.58)(1-0.58)(\dfrac{(1.96)}{0.025})^2\\\\=1497.302016\approx1498$

Hence, the minimum sample size needed = 1498