Statistical Sciences 2244A/B Lecture Notes - Lecture 13: Null Hypothesis, Test Statistic, Statistical Hypothesis Testing

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Clicker: suppose we set a significance level of alpha = 0. 05 to use as our criterion of what"s too small to happen due to chance alone". The rare event rule: assuming the null hypothesis is true. In this case assuming p is equal to p0 (aka the predicted proportion value) If the probability under a given assumption of a particular observed result is small, then the assumption is probably not correct. How likely is it for us to get a value where it will fall in the extreme value. If our p-value is very small then we can reject the null hypothesis. If = 0. 05 we reject the null hypothesis when we have a p-value smaller or equal to alpha. ) when we falsely fail to reject the h0. The probability of having a type i error is exactly equal to the value of: so we can essentially control the percent of the type i error occurs.

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