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 = 0.01. Click the icon to view the heights of the candidates. Construct a scatterplot. Choose the correct graph below. A. OB OC DD. 5 200- 200 200 200 Opponent Height (cm) Opponent Height (cm) Opponent Height (cm) Opponent Height UC 160- 160 160- 160 160 200 200 20 President Height (cm) President Height (cm) President Height (cm) President Height (cm The linear correlation coefficientis r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P VO (Type integers or decimals. Do not round.) The test statistic is t =] (Round to two decimal places as needed.) 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. Should we expect that there would be a correlation? O A. No, because height is the main reason presidential candidates are nominated. O B. Yes, because height is the main reason presidential candidates are nominated. O C. Yes, because presidential candidates are nominated for reasons other than height. O D. No, because presidential candidates are nominated for reasons other than height.Opp Opp 160 160 160 160 200 160 200 160 200 President Height (em) President Height (em) President Height (cm) entis r = es as needed.) ative Candidate Heights o not President 173 187 190 174 178 185 193 180 176 185 192 192 183 188 Opponent 185 177 182 177 173 185 183 175 182 173 170 184 186 170 s as ne es as Print Done near c r correlation between the hei es and would be a correlation? is the main reason presidential candidates are nominated is the main reason presidential candidates are nominated. ential candidates are nominated for reasons other than height. ntial candidates are nominated for reasons other than height