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

Question 111

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?

Correct Answer:

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a. H0: p ≥ 0.55, HA: p < 0.55
b....

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