Question

a research center poll showed that 82% of people believe that it is morally wrong to not report all income on tax returns. what is the probability that someone does not have this belief? the probability that someone does not believe that it is morally wrong to not report all income on tax returns is (type an integer or a decimal.)

Explanation:

Step1: Recall probability rule

The sum of the probability of an event happening and the probability of it not happening is 1. Let $P(A)$ be the probability of people believing it is morally wrong to not report all income on tax - returns and $P(\overline{A})$ be the probability of people not believing it. So $P(A)+P(\overline{A}) = 1$.

Step2: Substitute the given value

We know that $P(A)=0.82$. Then $P(\overline{A})=1 - P(A)$.
$P(\overline{A})=1 - 0.82$
$P(\overline{A}) = 0.18$

Answer:

0.18