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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