It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time.
It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this
outcome. A curious student suspects that 5 pennies
glued together will
To investigate this
edge 50% of the time
together 5 pennie
securely glues
stack 100 times.
Ơi the 100 t
times. The student would
nds on its edge 46
know if the data true proportion of
flips for which the penny stack will land on its edge
differs from 0.5
The power of this test to reject the null hypothesis if p =
0.46 is 0.20 using a significance level of a = 0.10. The
student argues that the power to reject the null
hypothesis if p = 0.46 is too low. What value of the
alternative hypothesis would provide the greatest power for this test?
