Question

A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important.

Which distribution should you use for this problem?

Short answer

The distribution needed in the problem is the normal distribution that is$N\left(0.65,\sqrt{\frac{0.65\times 0.35}{1200}}\right)$

Step-by-step solution

Given information

A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy.

Solution

Here the distribution needed to do the problem is the normal distribution with parameters

That is,

$N\left(P^{\mathrm{\prime }},\frac{P^{\mathrm{\prime }}\left(1-P^{\mathrm{\prime }}\right)}{\sqrt{n}}\right)$

So the value of the $P^{\mathrm{\prime }}$is calculated here,

$P^{\mathrm{\prime }}=65\mathrm{\%}$

$=0.65$