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1. a random sample of adults are asked about their preferences for a fi…

Question

1.
a random sample of adults are asked about their preferences for a first dinner date with someone.
complete the two - way table so that it has the characteristics listed.

  • 122 people responded to the survey.
  • 50 of the people who said they order dessert said they also prefer to split the check.
  • 68 people prefer splitting the check.
  • 56 people prefer to skip dessert rather than ordering one.
order dessertno dessert
one person pays

Explanation:

Step1: Find total for order dessert

Total respondents = 122, no dessert total = 56. So order dessert total = \( 122 - 56 = 66 \).

Step2: Find split check - no dessert

Split check total = 68, split check - order dessert = 50. So split check - no dessert = \( 68 - 50 = 18 \).

Step3: Find one person pays - order dessert

Order dessert total = 66, split check - order dessert = 50. So one person pays - order dessert = \( 66 - 50 = 16 \).

Step4: Find one person pays - no dessert

No dessert total = 56, split check - no dessert = 18. So one person pays - no dessert = \( 56 - 18 = 38 \).

Step5: Find one person pays total

Total respondents = 122, split check total = 68. So one person pays total = \( 122 - 68 = 54 \). (Or check \( 16 + 38 = 54 \), which matches.)

Filling the table:

order dessertno dessert
one person pays1638

Answer:

The completed two - way table is:

order dessertno dessert
one person pays1638