A recent study examined the effects of carbon monoxide exposure on a group of construction workers. The following table presents the numbers of workers who reported various symptoms, along with the shift (morning, evening, or night) that they worked. Morning ShiftEvening ShiftNight ShiftInfluenza191217Headache15336Weakness12147Shortness of Breath6107Send data to ExcelTest the hypothesis of independence. Use the =α0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? H0: The shift and reported symptoms are/are not independent.H1: The shift and reported symptoms are/are not independent.This hypothesis test is a left tailed/right tailed/two tailed test.

We assume that H0: The shift and reported symptoms are not independentH1: The shift and reported symptoms are independentWe have use the χ2-test to use the given question. Influenza 19 12 17 48 Headache 15 33 6 54 Weakness 12 14 7 33 Shortness of Breath 6 10 7 23 Total 52 69 37 158 We can solve expected frequencyE1=52×48158=15.80E2=20.96E3=11.24E4=17.77E5=23.58E6=12.65E7=10.86E8=14.41E9=7.73E10=7.57E11=10.04E12=5.39Oi Ei (O-E)2 Σ (O-E)^2/E 19 15.80 10.24 0.65 12 20.96 80.28 3.83 17 11.24 33.18 2.95 15 17.77 7.67 0.43 33 23.58 88.74 3.76 6 12.65 44.22 3.50 12 10.86 1.30 0.12 14 14.41 0.17 0.01 7 7.73 0.53 0.07 6 7.57 2.47 0.33 10 10.04 0.16 0.02 7 5.39 2.59 0.48 Total 16.15 degrees of freedom=(2)(3)=6χ26,0.10=10.645The χ2>10.645 for α=0.10.Hence reject the null hypothesis the shift and reported symptomps are independent.

Answered: Test the hypothesis of independence.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A recent study examined the effects of carbon monoxide exposure on a group of construction workers. The following table presents the numbers of workers who reported various symptoms, along with the shift (morning, evening, or night) that they worked.

	Morning Shift	Evening Shift	Night Shift
Influenza	19	12	17
Headache	15	33	6
Weakness	12	14	7
Shortness of Breath	6	10	7

Send data to Excel

Test the hypothesis of independence. Use the =α0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude?

H0: The shift and reported symptoms are/are not independent.

H1: The shift and reported symptoms are/are not independent.

This hypothesis test is a left tailed/right tailed/two tailed test.

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