Question

a research center poll showed that 76% 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 and its complement is 1. Let $P(A)$ be the probability of people who believe it is morally wrong not to report all income on tax - returns and $P(\overline{A})$ be the probability of people who do not believe so. Then $P(A)+P(\overline{A}) = 1$.

Step2: Substitute given value

We know that $P(A)=0.76$. So $P(\overline{A})=1 - P(A)$.
$P(\overline{A})=1 - 0.76$
$P(\overline{A}) = 0.24$

Answer:

0.24