Question

Mary is a pretty good netball player. She claims that, from 3 metres in front of the goal, she can get 30% of her unchallenged throws into the goal. You decide to check this claim by testing H0: p = 0.3 vs H1: p is not equal to 0.3, where p is the true proportion of goals that Mary successfully throws. You use a 10% level of significance. Over three weeks, you watch Mary practise these throws, and you see her successfully throw 16 of these goals from 50 attempts. You will reject H0 if :

the absolute value of (16/50 - 0.3)/square_root[0.3*(1-0.3)}/50] is greater than 1.645

the absolute value of (16/50 - 0.3)/square_root[0.3*(1-0.3)/50] is greater than 1.96

the absolute value of (16/50 - 0.3)/square_root[(16/50)*{1-(16/50)}/50] is greater than 1.645

the absolute value of (16/50 - 0.3)/square_root[(16/50)*{1-(16/50)}/50] is greater than 1.96

the absolute value of (16/50 - 0.3)/square_root[(16/50)*({1-(16/50)}/50] is greater than 0.3

Answer 1