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

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
Topic Video
Question
### 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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.
Similar questions
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