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How could we minimize the overlap between the

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Unformatted text preview: warming had increased over those years? © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 3 Lesson 9.1.2 Using Technology to Explore the Sampling Distribution of the Differences in Two Proportions F G Can you give a reason why such conflicting conclusions might occur? How could we minimize the overlap between the sampling distributions? 2 From the collections of simulated proportions from the initial year (!! ) and the following year (!! ) previously represented, all differences (!! − !! ) were computed and plotted on the following scatterplot. Differences in Proportions on Concern for Global Warming 0 .4 0 0 .3 5 0 .3 0 0 .2 5 0 .2 0 0 .1 5 0 .1 0 0 .0 5 0 .0 0 -0 .0 5 -0 .1 0 -0 .1 5 -0 .2 0 Proportions for Two Consecutive Years Initial Year Proportions Minus Following Year Proportions Proportions of people who consider global warming a serious threat. Sample sizes: initial year n = 47, following year n = 63. Each symbol represents up to 4 differences. A B What is the mean of the collection of differ...
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