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 the probability formula

The sum of the probability of an event \(A\) and its complement \(\overline{A}\) is \(P(A)+P(\overline{A}) = 1\). Let \(A\) be the event that a person believes it is morally wrong to not report all income on tax - returns. We know \(P(A)=0.79\).

Step2: Calculate the complement probability

We want to find \(P(\overline{A})\). Using the formula \(P(\overline{A})=1 - P(A)\), substitute \(P(A) = 0.79\) into the formula. So \(P(\overline{A})=1-0.79\).

$$P(\overline{A})=0.21$$

Answer:

\(0.21\)