In a simple random sample of 1200 Americans age 20 and over, 138 of them were fou to have Type I diabetes. Round all answers to three decimal places. a) Report a 95% confidence interval for the proportion of all Americans age 20 and o with diabetes. b) According to the Centers for Disease Control and Prevention, nationally, 10.7% of a Americans age 20 and over have diabetes. Does the confidence interval you found support or refute this claim? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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In a simple random sample of 1200 Americans age 20 and over, 138 of them were found
to have Type I diabetes. Round all answers to three decimal places.
a) Report a 95% confidence interval for the proportion of all Americans age 20 and over
with diabetes.
b) According to the Centers for Disease Control and Prevention, nationally, 10.7% of all
Americans age 20 and over have diabetes. Does the confidence interval you found
support or refute this claim? Explain.
3. Michael wants to make a confidence interval estimate for the proportion of community
members in favor of a tax increase for more local school funding. If he wants the margin
of error to be no more than 0.025 at a 90% confidence level,
a) What is the required sample size required to obtain the desired margin of error?
331
Transcribed Image Text:ments In a simple random sample of 1200 Americans age 20 and over, 138 of them were found to have Type I diabetes. Round all answers to three decimal places. a) Report a 95% confidence interval for the proportion of all Americans age 20 and over with diabetes. b) According to the Centers for Disease Control and Prevention, nationally, 10.7% of all Americans age 20 and over have diabetes. Does the confidence interval you found support or refute this claim? Explain. 3. Michael wants to make a confidence interval estimate for the proportion of community members in favor of a tax increase for more local school funding. If he wants the margin of error to be no more than 0.025 at a 90% confidence level, a) What is the required sample size required to obtain the desired margin of error? 331
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