28. Graduation The U.S. Department of Commerce reported the results of a large-scale survey on high school graduation. Researchers contacted more than 25,000 Americans aged 24 years to see if they had finished high school; 84.9% of the 12,460 males and 88.1% of the 12,678 females indicated that they had high school diplomas. a) Are the assumptions and conditions necessary for inference satisfied? Explain. b) Create a 95% confidence interval for the difference in gradu- ation rates between males and females. c) Interpret your confidence interval. d) Does this provide strong evidence that girls are more likely than boys to complete high school? Explain.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
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28. Graduation The U.S. Department of Commerce reported
the results of a large-scale survey on high school graduation.
Researchers contacted more than 25,000 Americans aged
24
years to see if they had finished high school; 84.9% of the
12,460 males and 88.1% of the 12,678 females indicated that
they had high school diplomas.
a) Are the assumptions and conditions necessary for inference
satisfied? Explain.
b) Create a 95% confidence interval for the difference in gradu-
ation rates between males and females.
c) Interpret your confidence interval.
d) Does this provide strong evidence that girls are more likely
than boys to complete high school? Explain.
Transcribed Image Text:28. Graduation The U.S. Department of Commerce reported the results of a large-scale survey on high school graduation. Researchers contacted more than 25,000 Americans aged 24 years to see if they had finished high school; 84.9% of the 12,460 males and 88.1% of the 12,678 females indicated that they had high school diplomas. a) Are the assumptions and conditions necessary for inference satisfied? Explain. b) Create a 95% confidence interval for the difference in gradu- ation rates between males and females. c) Interpret your confidence interval. d) Does this provide strong evidence that girls are more likely than boys to complete high school? Explain.
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