Youtuber, Joey Salads, conducted an honesty social experiment in which he selected random people walking down the street, shows them a $100 bill, and tells them he saw it fluttering around their feet and wondered if it was theirs. In reality, the $100 bill is his and he is just testing them to see if they will answer honestly that the money is not theirs. In a random sample of 100 people, only 10 answered truthfully that the money is not theirs. He then constructs a 95% confidence interval to estimate the true proportion of all adults who would reply honestly that the money is not theirs. Which of the following steps, if any, contain an error? Plan: One-sample z interval for p. Random? Random sample of 100 adults. Yes! Large Counts? 10 ≥ 10and90 > 10. Yes! Conclude: We are 95% confident that the interval from 0.041 to 0.159 captures the proportion of all adults who would reply honestly that the money is not theirs. State: We want to estimate p = the proportion of all adults who would reply honestly that the money is not theirs at a 95% confidence level. None of the steps contain an error. Do: (0.051, 0.149)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Youtuber, Joey Salads, conducted an honesty social experiment in which he selected random people walking down the street,
shows them a $100 bill, and tells them he saw it fluttering around their feet and wondered if it was theirs. In reality, the $100 bill
is his and he is just testing them to see if they will answer honestly that the money is not theirs. In a random sample of 100
people, only 10 answered truthfully that the money is not theirs. He then constructs a 95% confidence interval to estimate the
true proportion of all adults who would reply honestly that the money is not theirs.
Which of the following steps, if any, contain an error?
Plan: One-sample z interval for p. Random? Random sample of 100 adults. Yes! Large Counts? 10 ≥ 10and90 ≥ 10.
Yes
Conclude: We are 95% confident that the interval from 0.041 to 0.159 captures the proportion of all adults who would
reply honestly that the money is not theirs.
State: We want to estimate p = the proportion of all adults who would reply honestly that the money is not theirs at a
95% confidence level.
None of the steps contain an error.
Do: (0.051, 0.149)
Transcribed Image Text:Youtuber, Joey Salads, conducted an honesty social experiment in which he selected random people walking down the street, shows them a $100 bill, and tells them he saw it fluttering around their feet and wondered if it was theirs. In reality, the $100 bill is his and he is just testing them to see if they will answer honestly that the money is not theirs. In a random sample of 100 people, only 10 answered truthfully that the money is not theirs. He then constructs a 95% confidence interval to estimate the true proportion of all adults who would reply honestly that the money is not theirs. Which of the following steps, if any, contain an error? Plan: One-sample z interval for p. Random? Random sample of 100 adults. Yes! Large Counts? 10 ≥ 10and90 ≥ 10. Yes Conclude: We are 95% confident that the interval from 0.041 to 0.159 captures the proportion of all adults who would reply honestly that the money is not theirs. State: We want to estimate p = the proportion of all adults who would reply honestly that the money is not theirs at a 95% confidence level. None of the steps contain an error. Do: (0.051, 0.149)
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