B 6. A sports analogy for hypothesis tests In recent years, professional sports have incorporated the...
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B 6. A sports analogy for hypothesis tests In recent years, professional sports have incorporated the use of instant replay in order to dispute questionable ca the National Basketball Association (NBA) a head coach is allowed to challenge the referees' decision on whether a in the game. In order for the referees to reverse their original decision, the instant replay must exhibit clear evider Suppose the referees rule that the last shot of the game was made before the clock had expired. The coach of the ran out before the shot was made, 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 t reasonable doubt that their original call was incorrect, the basket won't count. However, if there is no clear evidenc basket will remain counted. Notice the similarity between the decision to change a call and the decision to reject the null hypothesis in a hypot collecting convincing evidence that the original call or the null hypothesis is not true. The referee only rejects the c evidence to the contrary, just as a researcher only rejects the null hypothesis if the study results provide clear evid not changing the call and not rejecting the null hypothesis doesn't mean that the original call or the null hypothesi enough evidence was provided to the contrary. To formulate the process as a hypothesis test, the null hypothesis is that the player made the shot after time e hypothesis is that the player made the shot before time expired The testing procedure then assumes tha made the shot after time expired with a goal of determining whether there is enough evidence to infer made the shot before time expired After the referees review video of all possible camera angles, according to the process of a hypothesis test, what t referees make? (Hint: Remember that there are two possible decisions from a hypothesis test: you can either reje reject the null hypothesis. Rejecting the null hypothesis means you have convincing evidence that the null hypothe hypothesis is true. Failing to reject the null means you do not have convincing evidence that the null hypothesis is Conclude that they do not have convincing evidence to support the hypothesis that the player made the Conclude that they have convincing evidence to support the hypothesis that the player made the shot be Conclude that they do not have convincing evidence to support the hypothesis that the player made the Conclude that the player made the shot before time expired Conclude that they have convincing evidence to support the hypothesis that the player made the shot a A Type I error occurs when you have convincing they actually reject a true null hypothesis. In this case, a Type I error corresp evidence to support the hypothesis that the player made the shot after tim A Type II error occurs when you null hypothesis. In this case made the shot before tir they actually evidence to support the hypothesis that the player B 6. A sports analogy for hypothesis tests In recent years, professional sports have incorporated the use of instant replay in order to dispute questionable ca the National Basketball Association (NBA) a head coach is allowed to challenge the referees' decision on whether a in the game. In order for the referees to reverse their original decision, the instant replay must exhibit clear evider Suppose the referees rule that the last shot of the game was made before the clock had expired. The coach of the ran out before the shot was made, 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 t reasonable doubt that their original call was incorrect, the basket won't count. However, if there is no clear evidenc basket will remain counted. Notice the similarity between the decision to change a call and the decision to reject the null hypothesis in a hypot collecting convincing evidence that the original call or the null hypothesis is not true. The referee only rejects the c evidence to the contrary, just as a researcher only rejects the null hypothesis if the study results provide clear evid not changing the call and not rejecting the null hypothesis doesn't mean that the original call or the null hypothesi enough evidence was provided to the contrary. To formulate the process as a hypothesis test, the null hypothesis is that the player made the shot after time e hypothesis is that the player made the shot before time expired The testing procedure then assumes tha made the shot after time expired with a goal of determining whether there is enough evidence to infer made the shot before time expired After the referees review video of all possible camera angles, according to the process of a hypothesis test, what t referees make? (Hint: Remember that there are two possible decisions from a hypothesis test: you can either reje reject the null hypothesis. Rejecting the null hypothesis means you have convincing evidence that the null hypothe hypothesis is true. Failing to reject the null means you do not have convincing evidence that the null hypothesis is Conclude that they do not have convincing evidence to support the hypothesis that the player made the Conclude that they have convincing evidence to support the hypothesis that the player made the shot be Conclude that they do not have convincing evidence to support the hypothesis that the player made the Conclude that the player made the shot before time expired Conclude that they have convincing evidence to support the hypothesis that the player made the shot a A Type I error occurs when you have convincing they actually reject a true null hypothesis. In this case, a Type I error corresp evidence to support the hypothesis that the player made the shot after tim A Type II error occurs when you null hypothesis. In this case made the shot before tir they actually evidence to support the hypothesis that the player
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