Lock, Statistics: Unlocking the Power of Data, 20 Hel I System Announcements PRI

Question

Lock, Statistics: Unlocking the Power of Data, 20 Hel I System Announcements PRINTER VERSION BACK NEXT Chapter 5, Section 1, Exercise 024 Penalty Shots in World Cup Soccer 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% ofthe time. The article notes that this is "slightly worse than random chance." we use these data as a sample of all world Cup penalty shots ever. Test ata 5% significance level to see whether there is evidence that the percent guessed correctly is less than 50%. The sample size is large enough to use the normal distribution. The standard error from a randomization distribution under the null hypothesis is SE= 0.043. st.John, A., "Physics of a World Cup Penalty-Kick Shootout 2010 World Cup Penalty Kicks," Popular Mechanics, June 14, 2010 State the null and alternative hypotheses.

Explanation / Answer

for above test :

test stat z =(phat-p)/std error =(0.41-0.5)/0.043 = ~ - 2.09

please revert for any clarifcation/correction.

(Note try 2.09 if above does not work)

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