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ID: 2929575 • Letter: H

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es.aplia.com/af/servlet/quiz?quiz action-takeQuiz&qu; 9 c Aplia: Student Questionx 6. A sports analogy for hypothesis tests Aa Aa In recent years, professional sports have incorporated the use of instant replay in order to dispute questionable calls by the referees. For example, in the National Football League (NFL) a head coach is allowed to challenge the referees" decision twice per game. In order for the referees to reverse their original decision, the instant replay must exhibit clear evidence to the contrary Suppose the referees rule that a pass was caught in bounds. The head coach of the opposing team believes the player stepped out of bounds before completely catching the ball, and the coach challenges the referees decision. The referees will review all available evidence (video taken from different camera angles) and make a decision. If there is evidence beyond a reasonable doubt that their original call was incorrect, the play will be called an incomplete pass. However, if there is no clear evidence to Notice the similarity between the decision to change a call and the decision to reject the nul hypothesis in a hypothesis test. The process involves collecting convincing evidence that the original call or the null hypothesis is not true. The referee only rejects the call if the instant replay exhibits clear evidence to the contrary, just as a researcher only rejects the null hypothesis if the study results provide clear evidence to the contrary. In both cases, not changing the call and not rejecting the nul hypothesis doesn't mean that the original call or the nult hypothesis was correct, it means that not enough evidence was provided to the contrary To formulate the process as a hpothesis test, the null hypothesis is that the player hypothesis is that the player caught the ball out of boundsThe testing procedure then assumas that the player caught the bal in bounds , and the alternative caught the bst in bounds caught the ball out of bounds , with a goal of determining whether there is enough evidence to infer that the player After the referees review video of all possible camera pngles, occording to the process of a hypothesis test, what two possible decisions referees make? Check all that apply (Hint: Rerne miba that there are two possible decisions from a hypothesis test: you can eithecreject the nutl hypothesis or fail to reject the nulil hypothesis Rdecting the nall hypothesis means you evidence that the nuit hyoothesis

Explanation / Answer

The two outcomes are

reject null hypothesis and conclude that player caught the ball out of bounds. Option1. or fail to reject null hypothesis and conclude that player caught the ball in bounds. Option 3.

Type I error occurs, when you incorrectly reject a true null hypothesis.  have, caught the ball out of bounds, player caught the ball inounds.

Type II error occurs when you incorrectly retain a false null hypothesis. have, caught the ball inbounds, caught the ball out of bounds.