Question

a research center poll showed that 79% 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 that a person believes it is morally wrong to not report all income on tax returns and $P(\overline{A})$ be the probability that a person does not believe so. We know $P(A)=0.79$.

Step2: Calculate the complementary - probability

Using the formula $P(\overline{A}) = 1 - P(A)$, we substitute $P(A)=0.79$ into it. So $P(\overline{A})=1 - 0.79$.
$P(\overline{A})=0.21$

Answer:

0.21