2. 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.

2 A random sample of adults are asked about their preferences for a first dinner date with someone Complete the twoway table so that it has the characteristics class=

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All the attatchments include the directions below:

Prepare a two-way table as shown below.

Enter the number 50 in the two-way table

Prepare a column total and enter 68 for the total number of people who split the check.

The total number of people who do not eat desert are 56, and the total number of people who took the survey are 122. Enter both values.

The remaining values can be found out as shown below.

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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]

Learn more about two way tables here:

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