Associations A through E are sponsoring a certain professional conference. Each of the attendees of this conference is a member...

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. Associations A and B are most frequently chosen, together accounting for 61 of 80 primary choices and 52 of 80 secondary choices.
2. Association C is much more commonly selected as a secondary association (18) than as a primary (7), indicating a strong preference to keep it as a secondary affiliation.
3. Associations D and E have consistently low selection numbers in both primary and secondary roles, making them the least favored overall among attendees.

Step-by-Step Solution

Question 1: Secondary-to-Primary Ratio Analysis

Complete Statement:

Association __ is more than twice as likely to be listed as a randomly selected attendee's secondary association than as the attendee's primary association.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: more than twice as likely
    • Meaning: This phrase means that, for the association in question, the number of times it is chosen as a secondary association is more than double how often it is chosen as a primary association.
    • Relation to Chart: We need to compare secondary association counts to primary association counts for each association using the provided numbers.
    • Important Implications: We're looking for a secondary-to-primary ratio greater than 2 for at least one association.
• Statement Breakdown 2:
  • Key Phrase: randomly selected attendee's secondary association / attendee's primary association
    • Meaning: Focus on the counts for each association as a secondary versus primary for attendees.
    • Relation to Chart: Directly compare the secondary and primary values for each association.
    • Important Implications: We are not comparing associations to one another, but rather looking at the ratio for each association individually.
• What is needed: Identify which association has a secondary count that is more than twice its primary count \\(\frac{\mathrm{secondary}}{\mathrm{primary}} \gt 2\).

Solution:

• Condensed Solution Implementation:
  Calculate secondary/primary ratios for each association and check for a value greater than 2.
• Necessary Data points:
  Primary: A=34, B=27, C=7, D=5, E=7. Secondary: A=26, B=26, C=18, D=4, E=6.
  • Calculations Estimations:
    A: \\(\frac{26}{34} ≈ 0.76\); B: \\(\frac{26}{27} ≈ 0.96\); C: \\(\frac{18}{7} ≈ 2.57\); D: \\(\frac{4}{5} = 0.8\); E: \\(\frac{6}{7} ≈ 0.86\).
  • Comparison to Answer Choices:
    Only Association C has a ratio greater than 2 (2.57).

FINAL ANSWER Blank 1: C

Question 2: Overall Likelihood Among All Associations

Complete Statement:

Of the five associations, Association __ is most likely to be among a randomly selected attendee's associations (primary or secondary).

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: most likely to be among a randomly selected attendee's associations
    • Meaning: The association with the highest total number of mentions, considering both primary and secondary selections.
    • Relation to Chart: Add together the counts for each association under both primary and secondary categories.
• Statement Breakdown 2:
  • Key Phrase: (primary or secondary)
    • Meaning: Both counts should be included in the calculation for each association.
    • Relation to Chart: Total = primary + secondary count for each association.
• What is needed: Which association has the highest combined (primary + secondary) count.

Solution:

• Condensed Solution Implementation:
  Sum the primary and secondary numbers for each association and identify the largest.
• Necessary Data points:
  Primary: A=34, B=27, C=7, D=5, E=7. Secondary: A=26, B=26, C=18, D=4, E=6.
  • Calculations Estimations:
    A: \\(34 + 26 = 60\); B: \\(27 + 26 = 53\); C: \\(7 + 18 = 25\); D: \\(5 + 4 = 9\); E: \\(7 + 6 = 13\).
  • Comparison to Answer Choices:
    Association A has the largest total at 60.

FINAL ANSWER Blank 2: A

Summary

Association C is the only association more than twice as likely to be listed as a random attendee's secondary association than primary; Association A is most likely overall to be among a randomly selected attendee's associations because it has the highest combined primary and secondary total.

Question Independence Analysis

The two questions are independent: the answer to one does not influence the answer to the other. The first requires examining the ratio of secondary to primary for each association; the second requires calculating total mentions.