Question

A research center poll showed that % 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? 78 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.)

Answer 1

Question:

A research center poll showed that 78% 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.)

Answer:

$q = 0.22$

Step-by-step explanation:

Given

Let p represent the given proportion

p = 78%

Required

Determine the probability that someone holds a contrary belief

Start by converting the given proportion to decimal

$p = 78\%$

$p = \frac{78}{100}$

$p = 0.78$

In probability, the sum of opposite probability is equal to 1

Represent the probability that someone holds a contrary belief with q

So;

$p + q = 1$

Make q the subject of formula

$q = 1 - p$

Substitute 0.78 for p

$q = 1 - 0.78$

$q = 0.22$

Hence, the probability that someone does not believe is 0.22