The Percentage of Complete Passes Is an Important Measure for a Quarterback

question 56

Essay

The percentage of complete passes is an important measure for a quarterback in the NFL. A particular quarterback has a career completion percentage of 55%. The quarterback got a new coach and then played a few games where he completed 48 of 100 passes.
A) Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach.
B) Calculate the value of the test statistic and the p-value.
C) At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?

• A) Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach.
• B) Calculate the value of the test statistic and the p-value.
• C) At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?

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Definitions:

Holding Cost

The total expense associated with storing unsold goods or inventory over a period, including warehousing, insurance, depreciation, and opportunity costs.

Understocking

A situation where inventory levels are too low, leading to potential lost sales and dissatisfaction among customers.

Customer Service Level

A measure of the quality of service provided to customers, often reflecting the ability to meet customer needs and resolve issues.

Stockout

A situation that occurs when an item is not in stock and unavailable for sale or use, often leading to lost sales or customer dissatisfaction.