Score: 119 Attempts Aa Aa 5. A sports analogy for hypothesis tests In recent yea

Question

Score: 119 Attempts Aa Aa 5. A sports analogy for hypothesis tests In recent years, professional sports have incorporated the use of instant replay in order to dispute questionable calls by the referees. For game. In order for the referees to reverse their original decision, the instant replay must exhibit dear evidence tothe contrary. suppose referees rule that a pass was caught out of bounds. The head coach of the team that threw the ball believes the player completely the caught the ball before stepping out of bounds, and the coach challenges the referees' decision. The referees will review all available evidence (video taken from direrent 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 a complete pass. However, if there is no cear evidence to contradict the original call, the play will remain ruled as an incomplete pass. Notice the similarity between the decision to change a call and the reject the null hypothesis in a hypothesis test. The process involves collecting convincing evidence that the original call or the decision to call if the instant null hypothesis is not true. The referee only rejects the 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 null hypothesis doesn't mean that the original call or the null hypothesis was correct, it means that not enough evidence was provided to the contrary. and the alternative To formulate the process as a hypothesis test, the null hypothesis is that the player The testing procedure then assumes that the player hypothesis is that the player with a goal of determining whether there is enough evidence to infer that the player After the referees review video of all possible camera angles, according to the process of a hypothesis test, what two possible decisions can the me anything

Explanation / Answer

The referee can make the following two decisions:

Type 1 error occurs when you reject a correct(true) null hypothesis. In this case it corresponds to the referees concluding that they have convincing evidence to support the hypothesis that the player caught the ball out of bounds when the player actually caught the ball in bounds

Type 2 error occurs when you retain(fail to reject) an incorrect(false) null hypothesis. In this case it corresponds to the referees concluding that they do not have convincing evidence to support the hypothesis that the player caught the ball out of bounds when the player actually caught the ball out of bounds

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