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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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