Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 126 heads. We wish to find how significant is this evidence against equal probabilities.What is the sample proportion of heads? Round to 3 places.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?H0: p = 0.5H0: p < 0.5H0: p = 0.5H0: p > 0.5H0: p = 0.5H0: p ≠ 0.5H0: p ≠ 0.5H0: p = 0.5Compute the z test statistic.z = Round to 2 places.

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Answered: Spinning a coin, unlike tossing it, may…

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

What is the sample proportion of heads?

Round to 3 places.
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?
- H₀: p = 0.5
  H₀: p < 0.5
- H₀: p = 0.5
  H₀: p > 0.5
- H₀: p = 0.5
  H₀: p ≠ 0.5
- H₀: p ≠ 0.5
  H₀: p = 0.5
Compute the z test statistic.

z = Round to 2 places.