A research center poll showed that 77% 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

2/4

**Educational Exercise: Probability Calculation Based on Survey Data**

---

A research center poll showed that 77% 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?

**Question:**

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:*

Given that 77% of people believe it is morally wrong to not report all income on tax returns, the probability that a person holds this belief is 77%.

To find the probability that someone does not hold this belief, we need to look at the complement of this probability.

- Probability of holding the belief: \( 77\% \) or \( 0.77 \)
- Probability of not holding the belief: \( 1 - 0.77 = 0.23 \) (or 23%)

Thus, the probability that someone does not believe it is morally wrong to not report all income on tax returns is **0.23** or **23%**.

Please enter this probability as an integer or a decimal in the provided box.

---

This exercise helps in understanding complementary events in probability and how to derive the probability of the opposite event based on given survey data.
Transcribed Image Text:**Educational Exercise: Probability Calculation Based on Survey Data** --- A research center poll showed that 77% 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? **Question:** 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:* Given that 77% of people believe it is morally wrong to not report all income on tax returns, the probability that a person holds this belief is 77%. To find the probability that someone does not hold this belief, we need to look at the complement of this probability. - Probability of holding the belief: \( 77\% \) or \( 0.77 \) - Probability of not holding the belief: \( 1 - 0.77 = 0.23 \) (or 23%) Thus, the probability that someone does not believe it is morally wrong to not report all income on tax returns is **0.23** or **23%**. Please enter this probability as an integer or a decimal in the provided box. --- This exercise helps in understanding complementary events in probability and how to derive the probability of the opposite event based on given survey data.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Transcendental Expression
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman