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:

Pancreas

A gland behind the stomach that produces enzymes for digestion and hormones such as insulin to regulate blood sugar levels.

Metabolic Disorder

A condition that occurs when the metabolic process is disrupted, leading to an imbalance of essential substances in the body.

Insulin

A hormone produced by the pancreas that allows your body to use sugar (glucose) from carbohydrates in the food for energy or to store glucose for future use.

Type 1 Diabetes

An autoimmune condition in which the pancreas produces little to no insulin, resulting in high blood sugar levels, and necessitates lifelong insulin use.