Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S. Congress. For 175 representatives, Irwin has collected the voting record (yes or no) on 16 pieces of legislation. To examine the relationship between representatives' votes on different issues, Irwin has conducted an association rules analysis with a minimum support of 40% and a minimum confidence of 90%. The data included the following bills: • Budget: approve federal budget resolution • Contras: aid for Nicaraguan contra rebels ⚫ El_Salvador: aid to El Salvador Missile: funding for M-X missile program • Physician: freeze physician fees • Religious: equal access to all religious groups at schools • Satellite: ban on anti-satellite weapons testing The following table shows the top five rules with respect to lift ratio. The table displays representatives' decisions in a "bill-vote" format For example, "Contras-y" indicates that the representative voted yes on a bill to support the Nicaraguan Contra rebels and "Physician-n indicates a no vote on a bill to freeze physician fees. Antecedent Consequent Support for A and C Confidence Lift Ratio Contras-y, Physician-n, Satellite-y El_Salvador-n 0.40 0.95 1.98 Contras-y, Missile-y El_Salvador-n 0.40 0.91 1.90 Contras-y, Physician-n El_Salvador-n 0.44 0.91 1.90 Missile-n, Religious-y El_Salvador-y 0.40 0.93 1.79 Budget-y, Contras-y, Physician-n El_Salvador-n 0.41 0.90 1.89
Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S. Congress. For 175 representatives, Irwin has collected the voting record (yes or no) on 16 pieces of legislation. To examine the relationship between representatives' votes on different issues, Irwin has conducted an association rules analysis with a minimum support of 40% and a minimum confidence of 90%. The data included the following bills: • Budget: approve federal budget resolution • Contras: aid for Nicaraguan contra rebels ⚫ El_Salvador: aid to El Salvador Missile: funding for M-X missile program • Physician: freeze physician fees • Religious: equal access to all religious groups at schools • Satellite: ban on anti-satellite weapons testing The following table shows the top five rules with respect to lift ratio. The table displays representatives' decisions in a "bill-vote" format For example, "Contras-y" indicates that the representative voted yes on a bill to support the Nicaraguan Contra rebels and "Physician-n indicates a no vote on a bill to freeze physician fees. Antecedent Consequent Support for A and C Confidence Lift Ratio Contras-y, Physician-n, Satellite-y El_Salvador-n 0.40 0.95 1.98 Contras-y, Missile-y El_Salvador-n 0.40 0.91 1.90 Contras-y, Physician-n El_Salvador-n 0.44 0.91 1.90 Missile-n, Religious-y El_Salvador-y 0.40 0.93 1.79 Budget-y, Contras-y, Physician-n El_Salvador-n 0.41 0.90 1.89
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Part D, What is the
Transcribed Image Text:(d) What is the probability that a randomly selected representative votes yes on El Salvador aid? Round your answer to three decimal
places.
Transcribed Image Text:Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S. Congress. For 175 representatives,
Irwin has collected the voting record (yes or no) on 16 pieces of legislation. To examine the relationship between representatives' votes
on different issues, Irwin has conducted an association rules analysis with a minimum support of 40% and a minimum confidence of
90%.
The data included the following bills:
Budget: approve federal budget resolution
Contras: aid for Nicaraguan contra rebels
El_Salvador: aid to El Salvador
Missile: funding for M-X missile program
Physician: freeze physician fees
Religious: equal access to all religious groups at schools
• Satellite: ban on anti-satellite weapons testing
The following table shows the top five rules with respect to lift ratio. The table displays representatives' decisions in a "bill-vote" format.
For example, "Contras-y" indicates that the representative voted yes on a bill to support the Nicaraguan Contra rebels and "Physician-n"
indicates a no vote on a bill to freeze physician fees.
Antecedent
Consequent
Support for A and C Confidence Lift Ratio
Contras-y, Physician-n, Satellite-y El_Salvador-n
0.40
0.95
1.98
Contras-y, Missile-y
El_Salvador-n
0.40
0.91
1.90
Contras-y, Physician-n
El_Salvador-n
0.44
0.91
1.90
Missile-n, Religious-y
El_Salvador-y
0.40
0.93
1.79
Budget-y, Contras-y, Physician-n
El_Salvador-n
0.41
0.90
1.89
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