Last football season the starting quarterback of a professional football team completed just 55% of his attempted passes. The owner of this team has given the quarterback the ultimatum that he must improve his completion percentage during the off season or he will be fired. The owner plans to use a random sample of 50 passing attempts at the end of spring training to test the hypotheses Ho: p = 0.55 Ha: p > 0.55 where p represents the true proportion of passes this quarterback can complete after training during the off season. If the owner wants to minimize the chance of firing the quarterback when he really has improved, should he use a significance level of 0.01 or 0.10? (A) The owner should use a = 0.01 because this will minimize the chances of a Type I error. (B) The owner should use a = 0.01 because this will minimize the chances of a Type II error. (C) The owner should use a = 0.10 because this will minimize the chances of a Type I error. (D) The owner should use a = 0.10 because this will minimize the chances of a Type II error. (E) The significance level used will not affect the probability the owner mistakenly fires the quarterback when he really has improved.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Last football season the starting quarterback of a professional football team completed just 55% of
his attempted passes. The owner of this team has given the quarterback the ultimatum that he must
improve his completion percentage during the off season or he will be fired. The owner plans to use
a random sample of 50 passing attempts at the end of spring training to test the hypotheses
Ho: p = 0.55
Ha: p > 0.55
where p represents the true proportion of passes this quarterback can complete after training during
the off season. If the owner wants to minimize the chance of firing the quarterback when he really
has improved, should he use a significance level of 0.01 or 0.10?
(A) The owner should use a = 0.01 because this will minimize the chances of a Type I error.
(B) The owner should use a = 0.01 because this will minimize the chances of a Type II error.
(C) The owner should use a = 0.10 because this will minimize the chances of a Type I error.
(D) The owner should use a = 0.10 because this will minimize the chances of a Type II error.
(E) The significance level used will not affect the probability the owner mistakenly fires the
quarterback when he really has improved.
Transcribed Image Text:Last football season the starting quarterback of a professional football team completed just 55% of his attempted passes. The owner of this team has given the quarterback the ultimatum that he must improve his completion percentage during the off season or he will be fired. The owner plans to use a random sample of 50 passing attempts at the end of spring training to test the hypotheses Ho: p = 0.55 Ha: p > 0.55 where p represents the true proportion of passes this quarterback can complete after training during the off season. If the owner wants to minimize the chance of firing the quarterback when he really has improved, should he use a significance level of 0.01 or 0.10? (A) The owner should use a = 0.01 because this will minimize the chances of a Type I error. (B) The owner should use a = 0.01 because this will minimize the chances of a Type II error. (C) The owner should use a = 0.10 because this will minimize the chances of a Type I error. (D) The owner should use a = 0.10 because this will minimize the chances of a Type II error. (E) The significance level used will not affect the probability the owner mistakenly fires the quarterback when he really has improved.
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