STA 205, Spring 2022, Quiz #9 (Take Home) Contingency table results: Rows: AgeGroup Columns: Opinion A researcher studying public opinion on the legalization of recreational marijuana surveyed a...


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STA 205, Spring 2022, Quiz #9 (Take Home)<br>Contingency table results:<br>Rows: AgeGroup<br>Columns: Opinion<br>A researcher studying public opinion on the<br>legalization of recreational marijuana surveyed a<br>representative sample of 1100 registered voters<br>and asked each their age group (18 to 34, 35 to 59,<br>and 60+), and asked if they were for or against the<br>legalization of recreational marijuana. The<br>contingency table of results is below.<br>Cell format<br>Count<br>(Expected count)<br>For<br>Against Total<br>18 to 34<br>192<br>48<br>240<br>(157.96)<br>(82.04)<br>Age Group<br>18 to 34<br>Against<br>48<br>For<br>35 to 59<br>306<br>144<br>450<br>192<br>(296.18) (153.82)<br>35 to 59<br>306<br>144<br>60+<br>226<br>184<br>60+<br>226<br>184<br>410<br>(269.85)<br>Total<br>724<br>376 1100<br>A. Is there evidence of a dependence between a<br>registered voter's opinion and their age? Test<br>using a=.<br>05<br>Chi-Square test:<br>B. For each age group, compute the sample<br>proportion that is in favor of legalizing<br>recreational use of marijuana, and relate these<br>values to the result of your test in part A?<br>Statistic<br>DF Value P-value<br>Chi-square<br>2 43.26<br><0.0001<br>Formulas<br>x² = Obs-Exp)?<br>Еxp<br>x? = E<br>C. Find the expected count for the 60+ age group<br>against legalizing recreational use of<br>marijuana.<br>(Row Total)*(Column Total)<br>Еxp. Сount<br>D. Check that the validity conditions for your test<br>are satisfied.<br>Count<br>df = (r – 1)(c – 1); =<br>Total<br>

Extracted text: STA 205, Spring 2022, Quiz #9 (Take Home) Contingency table results: Rows: AgeGroup Columns: Opinion A researcher studying public opinion on the legalization of recreational marijuana surveyed a representative sample of 1100 registered voters and asked each their age group (18 to 34, 35 to 59, and 60+), and asked if they were for or against the legalization of recreational marijuana. The contingency table of results is below. Cell format Count (Expected count) For Against Total 18 to 34 192 48 240 (157.96) (82.04) Age Group 18 to 34 Against 48 For 35 to 59 306 144 450 192 (296.18) (153.82) 35 to 59 306 144 60+ 226 184 60+ 226 184 410 (269.85) Total 724 376 1100 A. Is there evidence of a dependence between a registered voter's opinion and their age? Test using a=. 05 Chi-Square test: B. For each age group, compute the sample proportion that is in favor of legalizing recreational use of marijuana, and relate these values to the result of your test in part A? Statistic DF Value P-value Chi-square 2 43.26 <0.0001 formulas="" x²="Obs-Exp)?" еxp="" x?="E" c.="" find="" the="" expected="" count="" for="" the="" 60+="" age="" group="" against="" legalizing="" recreational="" use="" of="" marijuana.="" (row="" total)*(column="" total)="" еxp.="" сount="" d.="" check="" that="" the="" validity="" conditions="" for="" your="" test="" are="" satisfied.="" count="" df="(r" –="" 1)(c="" –="" 1);="">

Jun 09, 2022
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