Suppose that researchers in three different countries collect sample data on whether or not a person has

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Suppose that researchers in three different countries collect sample data on whether or not a person has donated blood within the past year, with the following sample results:
A. 200 blood donors in a sample of 600 people
B. 50 blood donors in a sample of 300 people
C. 250 blood donors in a sample of 1,000 people

Consider estimating the proportion of people in each country who donated blood in the previous year.
a. Explain why an interval of values is better than a single value for this estimate.
b. For which of the three countries would a 95% confidence interval be widest? For which would a 95% confidence interval be narrowest?
c. For which of the three countries would a 95% confidence interval include the value 0.2?
d. What does your answer to part (c) reveal about the p-values for testing whether the proportion of people in the country who donated blood in the previous year differs from 1/5? Explain.

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Introduction To Statistical Investigations

ISBN: 9781118172148

1st Edition

Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

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