RES 342 - Research and Evaluation II hebdomad 2 Notes 1.0 shot Test for a Single world Mean, atomic try coat When a sample size (n) is short [less than 30, according to the precept of thumb for the Law of Large poem (Central Limit Theorem)], the dissemination of the property (characteristic) of interest of the underlying commonwealth is non cognise to be approach pattern, and the population standard refraction (?) is non k instantern, for a hypothesis establish on the mean we must(prenominal) using up the t dispersal with (n - 1) degrees of freedom sort of of the z distribution for the test statistic, which becomes a t-statistic [pic] since the population standard deviation (?) is not known and is estimated with the sample standard deviation (s). equivalent the z-statistic tests we analyze in Week 1, t-statistic tests may be one-tailed or two-tailed, and are conducted pastime the Five-Step Procedure for hypothesis test we introduced in Week 1. Th e only differences are that the z-statistic changes to a t-statistic, and we now use the t distribution instead of the standard normal (z) distribution to retrieve the critical value or the p-value. 2.0 possibility Test for a Single Population Proportion opine we are fire in testing the value of the rest (?) possessing an attribute (characteristic) of interest in a single population.
An guinea pig could be, the proportion of drinkers of a trusted cola who prefer provender over regular. The sample calculator of ? is the sample proportion (p). p = [number in the sample possessing the attribute (ch aracteristic) of interest] / (number in the! sample) The variance of a population proportion (?) is ?2 = ? ? (1 - ?), so the test statistic is [pic] Like other z-statistic tests, these tests may be one-tailed or two-tailed, and are conducted following the Five-Step Procedure for Hypothesis Testing we introduced in Week 1. 3.0 Hypothesis Test for Two Population Means, Large Sample Size Now suppose we are interested in...If you want to light a full essay, order it on our website: OrderCustomPaper.com
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