Every day Ahmet buys a scratch-off lottery ticket with a 40% chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40% as always versus the alternative that the chance is somehow greater. Assuming the hypothesis is correct, what is the probability of Ahmet winning 3 times out of 3? Round your answer, if necessary, to the nearest tenth of a percent. Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we will reject the hypothesis. What should we conclude regarding the hypothesis?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We cannot reject the hypothesis.
We should reject the hypothesis.
B.
Transcribed Image Text:A We cannot reject the hypothesis. We should reject the hypothesis. B.
Every day Ahmet buys a scratch-off lottery ticket with a 40% chance of winning some prize. He noticed that
whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the
shirt and found that he won 3 out of 3 times.
Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40% as always versus the
alternative that the chance is somehow greater.
Assuming the hypothesis is correct, what is the probability of Ahmet winning 3 times out of 3? Round your
answer, if necessary, to the nearest tenth of a percent.
Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we will
reject the hypothesis.
What should we conclude regarding the hypothesis?
Transcribed Image Text:Every day Ahmet buys a scratch-off lottery ticket with a 40% chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40% as always versus the alternative that the chance is somehow greater. Assuming the hypothesis is correct, what is the probability of Ahmet winning 3 times out of 3? Round your answer, if necessary, to the nearest tenth of a percent. Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we will reject the hypothesis. What should we conclude regarding the hypothesis?
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