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125 heads. We wish to find how significant is this evidence against equal probabilities.

125 heads. We wish to find how significant is this evidence against equal probabilities.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 125 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? O Ho: p Ha: p = 0.5 = 0.5 О Но: р 0.5 Hạ: p = 0.5 %3D О но: р %3D 0.5 На: р > 0.5 О Но: р 3D 0.5 На: р < 0.5
Transcribed Image Text:Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 125 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? O Ho: p Ha: p = 0.5 = 0.5 О Но: р 0.5 Hạ: p = 0.5 %3D О но: р %3D 0.5 На: р > 0.5 О Но: р 3D 0.5 На: р < 0.5
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