Question

Jazlyn decided to poll town residents about making the old mill a historical site.

Answer 1

The answer is C.150 residents

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

From the given information it is clear that

$z^*=1.96$

$E=\frac{8}{100}=0.08$

The total possibilities are 2, either agree to making the old mill a historical site or disagree. The probability that the town residents will agree, is

$p=\frac{1}{2}$

It is given that

$n=p(1-p)\times (\frac{z^*}{E})^2$

$n=\frac{1}{2}(1-\frac{1}{2})\times (\frac{1.96}{0.08})^2$

$n=\frac{1}{4}\times (24.5)^2$

$n=150.0625$

$n\approx 150$

The minimum number of randomly chosen town residents she needs to survey is 150. Therefore option C is correct.