Homework Answers
1. a) The appropriate test here is the one proportion z test. (To check if the coin is weighted, if it's fair Probability of heads= 0.5)
b) H0: p= 0.5 (states that coin is fair)
c) H1: p>0.5 (states that coin is weighted)
d) From H1, we can see that we have a one sided hypothesis test, so critical value is at z0.05= 1.645
(From the z distribution tables)
e) Test statistic: (0.8571-0.5)/√0.5*0.5/14 = 2.6723
sample proportion = 12/14 = 0.8571
f) Since test statistic >critical value, we have sufficient evidence to Reject H0 at the 5% level of significance.
g) Due to the rejection of the null hypothesis we accept the claim that the coin is weighted.
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