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(a) Presented with "Heads or Tails", 118 out of 140 put Heads. Value = i Confidence interval: i Value = i (b) Presented with "Tails or Heads", 57 out of 85 put Tails. Confidence interval: i Value = i Confidence interval: i (c) Presented with "Purple or Orange", 89 out of 99 put Purple. Value = (round to three decimal places) to i i Confidence interval: i (round to three decimal places) to i (d) Presented with "Orange or Purple", 79 out of 98 put Orange. (round to three decimal places) to i (round to three decimal places) to i (round to two decimal places) (round to two decimal places) (round to two decimal places) (round to two decimal places)

(a) Presented with "Heads or Tails", 118 out of 140 put Heads. Value = i Confidence interval: i Value = i (b) Presented with "Tails or Heads", 57 out of 85 put Tails. Confidence interval: i Value = i Confidence interval: i (c) Presented with "Purple or Orange", 89 out of 99 put Purple. Value = (round to three decimal places) to i i Confidence interval: i (round to three decimal places) to i (d) Presented with "Orange or Purple", 79 out of 98 put Orange. (round to three decimal places) to i (round to three decimal places) to i (round to two decimal places) (round to two decimal places) (round to two decimal places) (round to two decimal places)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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(a) Presented with "Heads or Tails", 118 out of 140 put Heads. Value = i Confidence interval: i Value = i (b) Presented with "Tails or Heads", 57 out of 85 put Tails. Confidence interval: i Value = i Confidence interval: (round to three decimal places) (c) Presented with "Purple or Orange", 89 out of 99 put Purple. Value = to i Confidence interval: (round to three decimal places) to i (round to three decimal places) (d) Presented with "Orange or Purple", 79 out of 98 put Orange. to i (round to three decimal places) to Mi (round to two decimal places) (round to two decimal places) (round to two decimal places) (round to two decimal places)
Transcribed Image Text:(a) Presented with "Heads or Tails", 118 out of 140 put Heads. Value = i Confidence interval: i Value = i (b) Presented with "Tails or Heads", 57 out of 85 put Tails. Confidence interval: i Value = i Confidence interval: (round to three decimal places) (c) Presented with "Purple or Orange", 89 out of 99 put Purple. Value = to i Confidence interval: (round to three decimal places) to i (round to three decimal places) (d) Presented with "Orange or Purple", 79 out of 98 put Orange. to i (round to three decimal places) to Mi (round to two decimal places) (round to two decimal places) (round to two decimal places) (round to two decimal places)
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 other technology to give the sample statistic and a 90% confidence interval in each case.
Transcribed Image Text: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 other technology to give the sample statistic and a 90% confidence interval in each case.
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