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1 - JustAnswer
1 - JustAnswer

H1: The Art and Science of Learning from Data
H1: The Art and Science of Learning from Data

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Lisa F. Peters

... 6. For each of the following situations, calculate the z-statistic (z), make a decision about the null hypothesis (reject, do not reject), and indicate the level of significance (p > .05,p < .05, p < .01). a. b. c. d. 10. In the GRE test example (Exercise 9), what if it was believed that the only po ...
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... The probability that the test statistic will fall in the critical region when the null hypothesis is actually true. If the test statistic falls in the critical region, we reject the null hypothesis, so α is the probability of making a mistake of rejecting the null hypothesis when it is true. ...
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Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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