Hypothesis_testing_multiple_parameters_week_10 - Hypothesis...

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Hypothesis testing for multiple parameters Testing the difference among multiple proportions Sampling distribution for multiple proportions (Chi-square) Testing the difference among multiple means Why a t-test is not used to compare multiple means?
EXAMPLE A manufacturer of stereo amplifiers has three assembly lines. We want to test whether the three lines do differ with respect to the number (proportion) of defectives produced . Independent samples of 30 amplifiers each are selected from the output of the lines, and the number of defectives is observed. The data are as follows : Conduct a test of the hypothesis given above at the 5% significance level. TESTING THE DIFFERENCE AMONG MULTIPLE PROPORTIONS
In this case, independent random samples are selected that result in binomially distributed random variables Y 1 , Y 2 , …, Y k where Y i is based on n i trials with success probability on each trial The null and the alternative are as follows: What are the null and the alternative hypothesis for the example?

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