Let X be the number of scoring chances that result in goals for a football team during n scoring chances. During many games, the team scores on 20% of the chances. Before a new season, the team acquires two new strikers in the hope of increasing the probability of scoring on goal chances During the first 116 scoring chances, they got 29 goals. a) Determine with a hypothesis test whether the probability of scoring on goal chances ha increased. Use 5% level. Also calculate the test's p-value. b) What would the conclusion of the test be if we had used the 10% level?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let X be the number of scoring chances that result in goals for a football team during n scoring
chances. During many games, the team scores on 20% of the chances. Before a new season, the
team acquires two new strikers in the hope of increasing the probability of scoring on goal chances.
During the first 116 scoring chances, they got 29 goals.
a) Determine with a hypothesis test whether the probability of scoring on goal chances has
increased. Use 5% level. Also calculate the test's p-value.
b) What would the conclusion of the test be if we had used the 10% level?
Transcribed Image Text:Let X be the number of scoring chances that result in goals for a football team during n scoring chances. During many games, the team scores on 20% of the chances. Before a new season, the team acquires two new strikers in the hope of increasing the probability of scoring on goal chances. During the first 116 scoring chances, they got 29 goals. a) Determine with a hypothesis test whether the probability of scoring on goal chances has increased. Use 5% level. Also calculate the test's p-value. b) What would the conclusion of the test be if we had used the 10% level?
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