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. H0:P=0.50 H1:P>0.50 using a z-test- d) Compute the value of the test statistic. show the formula and numbers plugged into the formula e) Determine the P-value. Do not use excel to calculate- use a formula. Show what numbers you used to calculate. 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.
H0:P=0.50 H1:P>0.50
using a z-test-
d) Compute the value of the test statistic. show the formula and numbers plugged into the formula
e) Determine the P-value. Do not use excel to calculate- use a formula. Show what numbers you used to calculate. Please round your P-value to three decimal places.
f) Should you reject the null hypotheses or not?
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