Answer:
z=-2.09
Step-by-step explanation:
Given that a study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time.
Set up hypotheses as:
(left tailed test at 5% significance level)
Standard error = 0.043
Sample proportion p = 0.41
p difference =
Test statistic Z = p diff/std error
=
Z = -2.09