The two way table shows the characteristics of the given information,
having a sum which is the number of people surveyed.
The completed two-way table is presented as follows;
[tex]\begin{tabular}{l|c|c|}&Order desert & No desert\\Split the check&50&18\\One person pays&16&38\end{array}\right][/tex]
Reasons:
Number of people that responded to the survey, U = 122 people
Number of the respondents that ordered dessert and split the check, DS = 50
Number of respondent that prefer splitting the check, S = 68 people
Number that prefer to skip dessert, ND = 56 people
Therefore;
- Number that split the check and order desert = 50
Number that split the check and no dessert, S/ND = S - DS
S/ND = 68 - 50 = 18
- Number that split the check and no dessert = 18
Number that do not split the check and no dessert, NS/ND = ND - S/ND
NS/ND = 56 - 18 = 38
- Number that do not split the check and no dessert = 38
Only one person pays, and orders desert, NS/D = The rest of the respondent not excluding the respondent sorted above
Therefore, NS/D = U - S - NS/ND
Which gives
NS/D = 122 - 68 - 38 = 16
- Only one person pays and orders desert = 16
The completed two-way table is therefore;
[tex]\begin{tabular}{l|c|c|}&Order desert & No desert\\Split the check&50&18\\One person pays&16&38\end{array}\right][/tex]
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