STUDENT TAKE IT HOME The governor of the state of Maryland, Martin O\'Malley, ra
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STUDENT TAKE IT HOME The governor of the state of Maryland, Martin O'Malley, ran for re-election in November, 2010. Before the election, from September 22-26, 2010, the Washington Post conducted a pol which respondents were asked: "If the election for Maryland governor were held today, for whom would you vote?" In an article summarizing the results of the poll, Washington Post journalists reported that, "A total of 1,448 randomly selected adults in Maryland were interviewed, including ...730 voters likely to cast ballots." The sample was intended to represent the population of likely Maryland voters at that time period in September, 2010. The article summarized the responses of the likely voters using the following categories: "for Governor Martin O'Malley", "for Bob Ehrlich", and "for other/ no opinion". Although the exact counts for each response were not included in the article, the following is a likely tally of responses from the sample of 730 likely voters: for Governor Martin O'Malley 382 responses for Bob Ehrlich 302 responses for other/ no opinion 46 responses A subsequent Washington Post poll was conducted from October 19-22, 2010. In this pol 2,355 randomly selected adults in Maryland were interviewed, including... 1,434 voters likely to cast ballots Like the September sample, the October sample was intended to represent the population of likely Maryland vote for that October time period. Although the exact counts for each response were also not listed in the October article, the following is likely tally of responses from the sample of 1,434 likely voters: for Governor Martin O'Malley 774 responses for Bob Ehrlich 574 responses for other/ no opinion 86 responses 1 Suppose we are interested in investigating the similarity of the results of these two polls. Explain why proper test is a chi-square test for homogeneity rather than a chi-square test for independence Washington Post, September 28, 2010, accessed October 1, 2014, www.washingtonpost.com/wp-dyn/content/article/2010/09/28/AR2010092806130.html?sid ST2010100700082. A. C. Davis, J Wagner, and J. Cohen, "Ehrlich Appears to be Losing GoP Traction The Washington Post, october 25, 2010 october 1, 2014, www.washingtonpost.com/wp-dyn/content/article/2010/10/25/AR2010102500002.html Statway Version 3.0, 2016 The Carnegie Foundation for the Advancement of Teaching 10.2.3 351Explanation / Answer
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Here, the chi-square test of homogeniety is to be used and not the chi square test of independence because, the test of independence is used to check whether or not two factor, from a contingency table are independent of each other. Here, we need to test whether or not the two different poles.
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