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The key concepts and terminology related to statistical hypothesis testing, including the null hypothesis, alternative hypothesis, randomization distribution, p-value, one-sided and two-sided tests, upper-tail and lower-tail tests, significance level, and interpreting the results of a hypothesis test. It provides a comprehensive overview of the fundamental principles and techniques used in statistical inference to determine whether the results from a sample are convincing enough to allow us to conclude something about the population. Likely intended for use in a statistics or data analysis course at the university level, covering topics such as statistical inference, hypothesis testing, and decision-making based on sample data.
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statistical test - correct answer used to determine whether results from a sample are convincing enough to allow us to conclude something about the population null hypothesis - correct answer claim that there is no effect or difference alternative hypothesis - correct answer claim for which we seek evidence The null hypothesis always contain an ... - correct answer equality The alternative hypothesis always contains an ... - correct answer inequality (<, >, =/=) randomization distribution - correct answer a collection of statistics from samples simulated assuming the null hypothesis is true Where is randomization distribution centered? - correct answer the value of the parameter given in the null hypothesis p-value - correct answer the proportion of samples, when the null hypothesis is true, that would give a statistic as extreme or more extreme than the observed sample one-sided alternative - correct answer alternative hypothesis that varies from the null in only one direction (contains < or >) two-sided alternative - correct answer alternative hypothesis that can vary from the null in either direction (contains =/=)
The p-value is... - correct answer the proportion in the tail in the direction specified by the alternative hypothesis. For a two-sided test, the p-value is... - correct answer twice the proportion of the smallest tail upper-tail test (right-tail test) - correct answer alternative hypothesis contains > lower-tail test (left-tail test) - correct answer alternative hypothesis contains < two-tailed test - correct answer alternative test contains =/= The p-value of a one-sided test should not be more than... - correct answer 0. The smaller the p-value... - correct answer the stronger the evidence against the null hypothesis and in favor of the alternative hypothesis significance level - correct answer threshold below which the p-value is considered small enough to reject the null hypothesis p-value < α - correct answer Reject the null hypothesis. There is strong evidence that the alternative hypothesis is true. p-value > α - correct answer Do not reject the null hypothesis. The test is inconclusive. Often, α is ... unless otherwise specified. - correct answer 0. When the p-value < α, the results are... - correct answer statistically significant