A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 544 randomly selected Americans surveyed, 442 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and b. If many groups of 544 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all
Americans who are in favor of a new Green initiative. Of the 544 randomly selected Americans
surveyed, 442 were in favor of the initiative. Round answers to 4 decimal places where possible.
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is
between
and
b. If many groups of 544 randomly selected Americans were surveyed, then a different
confidence interval would be produced from each group. About
percent of these
confidence intervals will contain the true population proportion of Americans who favor the
Green initiative and about
percent will not contain the true population proportion.
Hint: Hints
Transcribed Image Text:A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 544 randomly selected Americans surveyed, 442 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and b. If many groups of 544 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion. Hint: Hints
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