According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. What is the probability that at least 30 of them will not wash their hands after using a public restroom? O 0.161 O 0.738 O 0.839 O 0.262

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### Understanding Probabilities in Real-World Scenarios

#### Question from Probability and Statistics

According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. What is the probability that at least 30 of them will not wash their hands after using a public restroom?

#### Answer Choices:

- A. 0.161
- B. 0.738
- C. 0.839
- D. 0.262

In this problem, you are essentially dealing with a binomial probability question where you must determine if the occurrence of men not washing their hands matches the given criteria.

1. **Population Parameter**: 69% (0.69) of men do not wash their hands.
2. **Sample Size**: 40 men.
3. **Desired Outcome**: At least 30 men do not wash their hands.

To solve this, you may need to utilize binomial probability formulas or normal approximations (depending on your course or tool). The multiple-choice options suggest different probabilities, and calculating the exact probability will guide you to the correct answer. 

This type of problem helps students understand how probability theory is applied to real-world data and decisions. Through this example, learners can see the importance of source data and statistical methods in deriving meaningful conclusions.
Transcribed Image Text:### Understanding Probabilities in Real-World Scenarios #### Question from Probability and Statistics According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. What is the probability that at least 30 of them will not wash their hands after using a public restroom? #### Answer Choices: - A. 0.161 - B. 0.738 - C. 0.839 - D. 0.262 In this problem, you are essentially dealing with a binomial probability question where you must determine if the occurrence of men not washing their hands matches the given criteria. 1. **Population Parameter**: 69% (0.69) of men do not wash their hands. 2. **Sample Size**: 40 men. 3. **Desired Outcome**: At least 30 men do not wash their hands. To solve this, you may need to utilize binomial probability formulas or normal approximations (depending on your course or tool). The multiple-choice options suggest different probabilities, and calculating the exact probability will guide you to the correct answer. This type of problem helps students understand how probability theory is applied to real-world data and decisions. Through this example, learners can see the importance of source data and statistical methods in deriving meaningful conclusions.
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