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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
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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