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Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights (cm) from

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Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights (cm) from several recent presidential elections. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.05. Construct a scatterplot. Choose the correct graph below. OA O B O c. O D. 200- 200- 6 200- 200 Opponent Height (cm) Opponent Height (cm) Opponent Height (cm) Opponent Height (cm) 160 160- 160 160- 160 200 160 200 160 200 160 200 President Height (cm) President Height (cm) President Height (cm) President Height (cm) The linear correlation coefficientis r = - X (Round to three decimal places as needed.) Candidate Heights Determine the null and alternative hypotheses. Ho: PV President 182 184 190 176 174 178 186 185 172 183 189 183 181 183 Hy : P Opponent 181 181 184 169 183 178 179 181 179 173 176 186 179 174 (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) Print Done The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is the significance level, there sufficient evidence to support the claim that there is a linear correlation between the heights of winning presidential candiates and the heights of their opponents

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