Suppose you take a penny, hold it on it side, and then “flick” it so it spins on the side. Intuition says that there should be a 50% chance of landing tails side up, but your friend Persi Diaconis claims that the odds are actually higher than 50%. You decide to test this using a hypothesis test. Persi places the penny on its edge, and flicks it 50 separate times. In 33 of those flicks, the coin lands tails side up. b) State the null and alternative hypotheses symbolically. c) Which test procedure (z- or t-) is appropriate to perform the required hypothesis test? d) Compute the value of the test statistic. e) Determine the P-value. Please round your P-value to three decimal places. f) Should you reject the null hypotheses or not?
Suppose you take a penny, hold it on it side, and then “flick” it so it spins on the side. Intuition says that
there should be a 50% chance of landing tails side up, but your friend Persi Diaconis claims that the odds are
actually higher than 50%. You decide to test this using a hypothesis test.
Persi places the penny on its edge, and flicks it 50 separate times. In 33 of those flicks, the coin lands tails
side up.
b) State the null and alternative hypotheses symbolically.
c) Which test procedure (z- or t-) is appropriate to perform the required hypothesis test?
d) Compute the value of the test statistic.
e) Determine the P-value. Please round your P-value to three decimal places.
f) Should you reject the null hypotheses or not?
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