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.)
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
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Transcribed Image Text:**Educational Exercise: Probability Calculation Based on Survey Data**
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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.)*
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*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.
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This exercise helps in understanding complementary events in probability and how to derive the probability of the opposite event based on given survey data.
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