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- 14 - Section 3.4 Bootstrap Confidence Intervals Using Percentiles Question 12 of 15 - 113 View Policies Current Attempt in Progress Heads or Tails? Purple or Orange? When given a binary choice, research shows that adults are more likely to select the first of the two options. When people are asked to mentally simulate ten tosses of a fair coin, the first thing they write down is influenced by the order in which they are given the options. In the study, participants were asked to write down a sequence of "Heads and Tails" or "Tails and Heads" or (for an imaginary coin that has colors on each side) "Purple and Orange" or "Orange and Purple". In the study, they consider only the first thing participants wrote down in their sequence, and we use the results of that study (given for each case below) to estimate p = the proportion of times people will write down the first option. Use Statkey or othertechnology to give the sample statistic and a 90% confidence interval in each case. Choose notations from the following list: 1) n; 2) x; 3) p ; 4) u; 5) p; 6) p. (a) Presented with "Heads or Tails", 118 out of 140 put Heads. Notation Value = i (round to three decimal places) Confidence interval: i to i (round to two decimal places) (b) Presented with "Tails or Heads", 57 out of 85 put Tails. Notation Value = i (round to three decimal places) Confidence interval: i i (round to two decimal places) (c) Presented with "Purple or Orange", 89 out of 99 put Purple. Notation Value = (round to three decimal places) Confidence interval: i to i (round to two decimal places) (d) Presented with "Orange or Purple", 79 out of 98 put Orange. Notation Value = i (round to three decimal places) Confidence interval: i to i (round to two decimal places) e Textbook and Media Save for Later Attempts: 0 of 4 used Submit