,:-MindTap-Cengage Learning , what is ha in stats-Google SK ?Aple Student Questi
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,:-MindTap-Cengage Learning , what is ha in stats-Google SK ?Aple Student Question x C courses action takeQuiz&quiz; probGuid-ONAPCOA8O1010000003ee9atb0080000&ctx; sbarret 6. 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 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 out of bounds. The head coach of the team that threw the ball believes the player completely 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 different camera angles) and make decision. If there is evidence beyond a reasonable doubt that their orignal car was incorrect, the play will be cated?complete pass. However, there is no clear evidence to contradict the oniginal call, the play will remain ruled as an incomplete pass Notice the similarity between the decision to change a call and the decision to reject the null hypothesis in a hypothesis test. The process involves collecting convicing evidence that the original call or tre nu. hypothesis is not true. The referee only rejects the can·the instant replay exhibits clear evidence to the contrary, just as a researcher only rejects the null hypothesis f the study results provide clear evidence to the contrary. In both cases, not changing the cal and not rejecting the null hypothesis doesnt mean that the original call or the null hypothesis was correct, it means that not enough evidence was provided to the contrary and the aternative To formulate the process as a hypothesis test, the null hypothesis is that the player hypothesis is that the player The testing procedure then assumes that the player with a goal of determining whether there is enough evidence to infer that the player After the reterees review video of all possible camera angles, according to the process of a hypothesis test, what two possible decisions can the referees make? Check all that apply. (Hints Remember that there are two possible decisions from a hypothesis test: you can either reject the null thypothesis or fail to reject the null thypothesis. Rejecting the null hypothesis means you have conwincing evidence that the nuill hypothesis is false and the alternative hypothesis is true. Faling to reject the nul means you do not have convincing evidence that the null hypothesis is ? condude that they have conviong endence to support uhe hypothesis that the player caught the bal out of burds Conclude that they do not have convincing evidence to support the hypothesis that the player caught the ball in bounds conclude that the player caught the ball out of bounds Conclude that they have convincing evidence to support the hypothesils that the player caught the bal in bounds Condude that they do not have convincing evidence to support the hypothesis that the player caught the bat out of bounds A Type I error occurs when you null hypothesis. In this case, a Type I error corresponds to the referees conduding evidence to support the hypothesis that the player when the player achually AType error occurs when you that they actualy vll hypothesis. In this case, a Type II error corresponds to the referees concluding evidence to support the hypothesis that the player when the player 59-23Explanation / Answer
check all that apply
2. conclude that they do not have convincing evidence to support the hypothesis that the player caught the ball in bounds
4. conclude that they have convincing evidence to support the hypothesis that the player caught the ball in bounds
Type I error occurs when you reject a correct(true) null hypothesis. in this case, a Type I error corresponds to the referees concluding that they do not have convincing evidence to support the hypothesis that the player did not caught the ball in bounds when the player actually caught the ball in bounds.
Type II error occurs when you accept a wrong(false) null hypothesis. in this case, a Type II error corresponds to the referees concluding that they have convincing evidence to support the hypothesis that the player caught the ball in bounds when the player actually did notcaught the ball in bounds.
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