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 α=0.01. President (cm) Opponent (cm) 173 178 187 176 190 179 180 171 175 180 183 181 191 176 180 178 177 178 190 176 190 178 185 192 181 179 190 172 Determine the null and alternative hypotheses. enter your response here (Type integers or decimals. Do not round.) Part 4 The test statistic is t=enter your response here. (Round to two decimal places as needed.) Part 5 The P-value is enter your response here. (Round to three decimal places as needed.) Part 6 Because the P-value of the linear correlation coefficient is ▼ greater than less than or equal to the significance level, there ▼ is not is 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. Part 7 Should we expect that there would be a correlation? A. No, because presidential candidates are nominated for reasons other than height. B. Yes, because presidential candidates are nominated for reasons other than height. C. No, because height is the main reason presidential candidates are nominated. D. Yes, because height is the main reason presidential candidates are nominated.
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
President (cm) Opponent (cm)
173 178
187 176
190 179
180 171
175 180
183 181
191 176
180 178
177 178
190 176
190 178
185 192
181 179
190 172
Part 4
Part 5
Part 6
Part 7

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