Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes,
= 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes,
= 67%
The number of games Leon played, n₂ = 25
Therefore, we have;

Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75

The test statistic is given as follows;


From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905