6.36 Diabetes and unemployment: A 2012 Gallup poll surveyed Americans about their employment status and whether or not they have diabetes. The survey results indicate that 1.5% of the 47,774 employed (full or part time) and 2.5% of the 5,855 unemployed 18-29 year olds have diabetes. (a) Create a two-way table presenting the results of this study. Diabetes No Diabetes Employed Unemployed _____ (b) State appropriate hypotheses to test for independence of incidence of diabetes and employment status. ( ) H0: μdiabetes=μemployed Ha: μdiabetes ≠ μemployed ( ) H0: Diabetes status and employment status are independent Ha: Diabetes status and employment status are not independent ( ) H0: Diabetes status and employment status are dependent Ha: Diabetes status and employment status are not dependent (c) The sample difference is about 1%. If we completed the hypothesis test, we would find that the p-value is very small (about 0), meaning the difference is statistically significant. Use this result to explain the difference between statistically significant and practically significant findings. ( ) Being unemployed causes people to get diabetes at a higher rate ( ) If our data don't provide strong enough evidence to reject the null hypothesis we should just collect more data until we can report the results that we want ( ) Since the sample sizes are so large and the difference between the two sample proportions is so small, we observe a statistically significant difference which may not be practically significant

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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6.36 Diabetes and unemployment: A 2012 Gallup poll surveyed Americans about their employment status and whether or not they have diabetes. The survey results indicate that 1.5% of the 47,774 employed (full or part time) and 2.5% of the 5,855 unemployed 18-29 year olds have diabetes.

(a) Create a two-way table presenting the results of this study.

	Diabetes	No Diabetes
Employed	________	__________
Unemployed	________	___________

(b) State appropriate hypotheses to test for independence of incidence of diabetes and employment status.

( ) H₀: μ_diabetes=μ_employed
H_a: μ_diabetes ≠ μ_employed

( ) H₀: Diabetes status and employment status are independent
H_a: Diabetes status and employment status are not independent

( ) H₀: Diabetes status and employment status are dependent
H_a: Diabetes status and employment status are not dependent

(c) The sample difference is about 1%. If we completed the hypothesis test, we would find that the p-value is very small (about 0), meaning the difference is statistically significant. Use this result to explain the difference between statistically significant and practically significant findings.

( ) Being unemployed causes people to get diabetes at a higher rate

( ) If our data don't provide strong enough evidence to reject the null hypothesis we should just collect more data until we can report the results that we want

( ) Since the sample sizes are so large and the difference between the two sample proportions is so small, we observe a statistically significant difference which may not be practically significant

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