(11 pts) A hockey team is convinced that the coin used to determine the order of
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Question
(11 pts) A hockey team is convinced that the coin used to determine the order of play is weighted for heads. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted for heads, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).
(2 pts) What is the appropriate test?
(1 pt) State the null hypothesis:
(1 pt) State the alternative hypothesis:
(2 pts) Find the critical value:
(1 pt) Calculate the obtained statistic:
(2 pts) Make a decision:
(2 pts) What does your decision mean?
Explanation / Answer
A)One sample z test for proportion
B) Ho:p = 0.5
C) Ha:p > 0.5
D) Critical z value is 2.576 for 0.01 significance level
E) Sample proportion = 12/14 = 0.86
z = p0-p/sqrt(p*(1-p)/n)
Z=0.86-0.5/sqrt(0.5(1-0.5)/14)
=2.694
P(z>2.694) = 0.0035 < 0.05
F) make decisions is Our calculated value is less than significance level, so the test is significant. We will reject null hypothesis
G) Decision means that the coin is weighed because it do not have equal chances of heads and tails, but have higher chances for heads.
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