1. Suppose you flip a coin 314 times, and heads appears 159 times. (a) Construct an approximate 90% confidence interval for the probability that the coin comes up heads. (b) Approximately how many samples would you need to obtain an approximate 90% confidence interval with width 0.02, while keeping exactly 50.64% of flips appearing heads? (c) You give the coin to a friend, who also flips the coin 314 times, and obtains an approximate confidence interval [0.390, 0.500] instead. What confidence level did (s)he use?
1. Suppose you flip a coin 314 times, and heads appears 159 times. (a) Construct an approximate 90% confidence interval for the probability that the coin comes up heads. (b) Approximately how many samples would you need to obtain an approximate 90% confidence interval with width 0.02, while keeping exactly 50.64% of flips appearing heads? (c) You give the coin to a friend, who also flips the coin 314 times, and obtains an approximate confidence interval [0.390, 0.500] instead. What confidence level did (s)he use?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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![1. Suppose you flip a coin 314 times, and heads appears 159 times.
(a) Construct an approximate 90% confidence interval for the probability that the coin comes up
heads.
(b) Approximately how many samples would you need to obtain an approximate 90% confidence
interval with width 0.02, while keeping exactly 50.64% of flips appearing heads?
(c) You give the coin to a friend, who also flips the coin 314 times, and obtains an approximate
confidence interval [0.390, 0.500] instead. What confidence level did (s) he use?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fc235f5-c6fd-4e1c-bac8-7d394d2e8123%2F71782d8b-fc32-4d19-a73e-ae186a77fd0f%2Fs9z0ubj_processed.png&w=3840&q=75)
Transcribed Image Text:1. Suppose you flip a coin 314 times, and heads appears 159 times.
(a) Construct an approximate 90% confidence interval for the probability that the coin comes up
heads.
(b) Approximately how many samples would you need to obtain an approximate 90% confidence
interval with width 0.02, while keeping exactly 50.64% of flips appearing heads?
(c) You give the coin to a friend, who also flips the coin 314 times, and obtains an approximate
confidence interval [0.390, 0.500] instead. What confidence level did (s) he use?
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