Question

Penalty Shots in World Cup Soccer A study1 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 of the 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 at a significance level to see whether there is evidence that the percent guessed correctly is less than . The sample size is large enough to use the normal distribution. The standard error from a randomization distribution under the null hypothesis is . 1St.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. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,0.5,ρ,p^,p^1,p^2,r.

H0:  vs Ha

Answer 1

1/138 = 0.0072

H₀ : p = 0.0072

H₁ : p < 0.0072