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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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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.

  1. What is the sample proportion of heads?

     Round to 3 places.

  2. 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?

    • H0p = 0.5
      H0p < 0.5
    • H0p = 0.5
      H0p > 0.5
    • H0p = 0.5
      H0p ≠ 0.5
    • H0p ≠ 0.5
      H0p = 0.5


  3. Compute the z test statistic.

    z =  Round to 2 places.
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