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# Hypothesis Z-Test for Proportion and ANOVA

PROBLEM-1:
Two-Sample HypothesisTest for Proportion
Two movies were screen-tested at two different samples of theaters. Mystic River was viewed at 80 theatres and was considered a success in terms of box office sales in 60 of these theaters. Swimming Pool was viewed at a random sample of 100 theaters and was considered a success in 65 of those theaters. Based on these data, do you believe that one of these movies was a greater success then the other? Show your work and EXPLAIN. (Study guide question 8-55)

PROBLEM-2:
ANOVA Analysis
An ANOVA assessing the effects of three blocks of respect and three levels of altruism was carried out. The F-statistic value was 13.65 and the degrees of freedom were 74 for blocks, 2 fr treatments, and 224 for total. What was the total sample size? Are the results of the ANOVA significant? Show your work and EXPLAIN.

#### Solution Summary

The solution provides step-by-step method of performing a two sample hypothesis z-test for proportion. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details. The solution is also comprised of a detailed explanation of filling of ANOVA table and its interpretation. This step-by-step calculation and explanation of these complicated topics provides students with a clear perspective of ANOVA Analysis.

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