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. O Ho: Diabetes status and employment status are dependent Hạ: Diabetes status and employment status are not dependent O Họ: Pdiabetes-Hemployed Hạ: Pdiabetes * Hemployed O Họ: Diabetes status and employment status are independent Hạ: Diabetes status and employment status are not independent (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. O Being unemployed causes people to get diabetes at a higher rate Olf 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 O 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
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. O Ho: Diabetes status and employment status are dependent Hạ: Diabetes status and employment status are not dependent O Họ: Pdiabetes-Hemployed Hạ: Pdiabetes * Hemployed O Họ: Diabetes status and employment status are independent Hạ: Diabetes status and employment status are not independent (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. O Being unemployed causes people to get diabetes at a higher rate Olf 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 O 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
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text: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.
O Ho: Diabetes status and employment status are dependent
Hạ: Diabetes status and employment status are not dependent
O Họ: Pdiabetes-Hemployed
Hạ: Pdiabetes * Hemployed
O Họ: Diabetes status and employment status are independent
Hạ: Diabetes status and employment status are not independent
(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.
O Being unemployed causes people to get diabetes at a higher rate
Olf 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
O 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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