After a College Football Team Once Again Lost a Game

question 23

Multiple Choice

After a college football team once again lost a game to their archrival,the alumni association conducted a survey to see if alumni were in favor of firing the coach.A simple random sample of 100 alumni from the population of all living alumni was taken.Sixty-four of the alumni in the sample were in favor of firing the coach.Let p represent the proportion of all living alumni who favored firing the coach.Suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach.To do this they test the hypotheses H₀: p = 0.50 versus H_a: p > 0.50.The alumni association wished to conduct the test at a 5% significance level.What would their decision be? Based on that decision,what type of mistake could they have made?

• A)Do not reject H₀;Type I error
• B)Do not reject H₀;Type II error
• C)Reject H₀;Type I error
• D)Reject H₀;Type II error

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Definitions:

Neurons

Specialized cells in the nervous system that transmit information through electrical and chemical signals.

Neonates

Infants, especially in the first four weeks after birth, highlighting the very early stages of childhood development.

Torsos

The central part of the human body that extends from the neck to the lower abdomen, excluding the limbs and head.

Heads

The upper part of the human body or the front part of the body in animals; contains the face and brains.