High levels of blood sugar are associated with an increased risk of type 2 diabetes. A levelhigher than normal is referred to as “impaired fasting glucose.” The article “Association ofLow-Moderate Arsenic Exposure and Arsenic Metabolism with Incident Diabetes andInsulin Resistance in the Strong Heart Family Study” (M. Grau-Perez, C. Kuo, et al.,Environmental Health Perspectives, 2017, online) reports a study in which 47 of 155 peoplewith impaired fasting glucose had type 2 diabetes. Consider this to be a simple randomsample. a) Find a 95% confidence interval for the proportion of people with impaired fasting glucose who have type 2 diabetes. b) Find a 99% confidence interval for the proportion of people with impaired fasting glucose who have type 2 diabetes. c) A doctor claims that less than 35% of people with impaired fasting glucose have type 2 diabetes. With what level of confidence can this claim be made?
High levels of blood sugar are associated with an increased risk of type 2 diabetes. A level
higher than normal is referred to as “impaired fasting glucose.” The article “Association of
Low-Moderate Arsenic Exposure and Arsenic Metabolism with Incident Diabetes and
Insulin Resistance in the Strong Heart Family Study” (M. Grau-Perez, C. Kuo, et al.,
Environmental Health Perspectives, 2017, online) reports a study in which 47 of 155 people
with impaired fasting glucose had type 2 diabetes. Consider this to be a simple random
sample. a) Find a 95% confidence interval for the proportion of people with impaired fasting
glucose who have type 2 diabetes.
b) Find a 99% confidence interval for the proportion of people with impaired fasting
glucose who have type 2 diabetes.
c) A doctor claims that less than 35% of people with impaired fasting glucose have type 2
diabetes. With what level of confidence can this claim be made?
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