In a study of 450,900 cell phone users, it was found that 200 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000493 probability of a person developing cancer of the brain or nervous system. We therefore expect about 223 cases of such cancer in a group of 450,900 people. Estimate the probability of 200 or fewer cases of such cancer in a group of 450,900 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(xs 200) = (Round to four decimal places as needed.)

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
icon
Concept explainers
Question
### Study on Cancer Risks Among Cell Phone Users

#### Background:
In a study involving 450,900 cell phone users, it was found that 200 individuals developed cancer of the brain or nervous system. Assuming that cell phones have no effect on cancer development, the given probability of a person developing such cancer is 0.000493.

#### Statistical Expectation:
Based on the provided probability, we would expect approximately 223 cases of brain or nervous system cancer within a group of 450,900 people.

#### Problem Statement:
Estimate the probability of observing 200 or fewer cases of such cancer in a group of 450,900 individuals. What do these results imply regarding media reports that cell phones cause cancer of the brain or nervous system?

#### Calculation:
(a) Probability P(x ≤ 200) = _______ (Round to four decimal places as needed.)

#### Interpretation:
This result will help determine whether the observed number of cancer cases (200) significantly deviates from what is expected (223) purely by chance if cell phones do not influence cancer risk. Comparing this probability with a typical significance level (e.g., 0.05) can provide insights into whether media concerns are statistically warranted.
Transcribed Image Text:### Study on Cancer Risks Among Cell Phone Users #### Background: In a study involving 450,900 cell phone users, it was found that 200 individuals developed cancer of the brain or nervous system. Assuming that cell phones have no effect on cancer development, the given probability of a person developing such cancer is 0.000493. #### Statistical Expectation: Based on the provided probability, we would expect approximately 223 cases of brain or nervous system cancer within a group of 450,900 people. #### Problem Statement: Estimate the probability of observing 200 or fewer cases of such cancer in a group of 450,900 individuals. What do these results imply regarding media reports that cell phones cause cancer of the brain or nervous system? #### Calculation: (a) Probability P(x ≤ 200) = _______ (Round to four decimal places as needed.) #### Interpretation: This result will help determine whether the observed number of cancer cases (200) significantly deviates from what is expected (223) purely by chance if cell phones do not influence cancer risk. Comparing this probability with a typical significance level (e.g., 0.05) can provide insights into whether media concerns are statistically warranted.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
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