Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not? Jefferson 189 170 Hoover 182 180 Harding 183 178 Coolidge 178 180 Polk 173 185 McKinley 170 178 Taft 182 178 J. Kennedy 183 182 T. Roosevelt 178 175 Wilson 180 182 G. W. Bush 183 185 Jackson 185 171 Clinton 188 188 J. Q. Adams 171 191 J. Adams 170 189 Reagan 185 177 Lincoln 193 188 Truman 175 173 Cleveland 180 180 Garfield 183 187 Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. If greater height was an advantage. then taller candidates should have won ___________ 50% of the elections. In this case, greater height ______________ to be an advantage for presidential candidates because the confidence interval ___________ include 50%.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.