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watch the video and answer the question listed below. what on earth was dr. vickers doing comparing sizes of nuts, apples, and snowballs? click here to watch the video. choose the correct answer below. a. if the p - value (the nut) is less than alpha (the apple), fail to reject the null hypothesis. b. if the p - value (the nut) is less than alpha (the apple), reject the null hypothesis. c. dr. vickers wanted to prove that the p - value (the nut) was the same size as alpha (the apple). d. if the p - value (the snowball) is larger than alpha (the apple), reject the null hypothesis.
In hypothesis testing, if the P - value (a measure of the evidence against the null hypothesis) is less than the significance level (alpha), we reject the null hypothesis. Option A is incorrect as we should reject (not fail to reject) when P - value < alpha. Option C is wrong as the goal is not to prove equality. Option D is incorrect because when P - value > alpha, we fail to reject the null hypothesis.
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B. If the P - value (the nut) is less than alpha (the apple), reject the null hypothesis.