A large group of workers is divided into three departments: those who work in special operations, those who work on the main floor, and those who work in management. Strep throat has been going around and a health inspector would like to know if there is a relationship between department and having strep throat. She selects a random sample of 100 workers and classifies each one according to their department and whether they have strep throat. The responses are displayed in the table. Department Special Operations Main Floor Management Strep 13 5 Strep? No Strep 40 30 6 The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. Are the conditions for inference met? O No, the random condition is not met. O No, the 10% condition is not met. O No, the Large Counts condition is not met. O Yes, all three conditions for inference are met.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A large group of workers is divided into three departments: those who work in special operations, those who work
on the main floor, and those who work in management. Strep throat has been going around and a health
inspector would like to know if there is a relationship between department and having strep throat. She selects a
random sample of 100 workers and classifies each one according to their department and whether they have
strep throat. The responses are displayed in the table.
Department
Special Operations
Main Floor
Management
Strep
No Strep
13
Strep?
40
30
The health inspector would like to know if these data provide convincing evidence that the distribution of strep
throat status differs across the departments in the population of all workers of this large company. Are the
conditions for inference met?
O No, the random condition is not met.
O No, the 10% condition is not met.
O No, the Large Counts condition is not met.
Yes, all three conditions for inference are met.
Transcribed Image Text:A large group of workers is divided into three departments: those who work in special operations, those who work on the main floor, and those who work in management. Strep throat has been going around and a health inspector would like to know if there is a relationship between department and having strep throat. She selects a random sample of 100 workers and classifies each one according to their department and whether they have strep throat. The responses are displayed in the table. Department Special Operations Main Floor Management Strep No Strep 13 Strep? 40 30 The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. Are the conditions for inference met? O No, the random condition is not met. O No, the 10% condition is not met. O No, the Large Counts condition is not met. Yes, all three conditions for inference are met.
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