Chapter 7, Problem 10CT

(a)

To determine

To find: the organization result in two ways table and interpret the marginal frequencies.

Answer to Problem 10CT

Marginal frequencies are $271$ students were surveyed and

  $211$ students will attend to the field trip.

Explanation of Solution

Given:

A survey that has $271$ students.

  $121$ male responds and $92$ which attends the field.

  $31$ females are not attending.

  

Concept used:

Entries in the total row and total column are called marginal frequency or the marginal distribution. Entries in the body of the table are called joint frequencies.

Calculation:

Step $1$ :

The two categories for the table.

In this case: gender and attend the field trip.

Step $2$ : use the given joint and marginal frequencies to fill the part of table.

Step $3$ : use reasoning to find the missing joint and marginal frequencies.

From the table:

  

  $121$ male students were surveyed.

  $60$ female students were surveyed.

  $271$ students were surveyed.

  $211$ students will attend to the field trip.

  $60$ students will not attend the field trip.

Hence, marginal frequencies are $271$ students were surveyed and

  $211$ students will attend to the field trip.

(b)

To determine

To find: the percentage of the females that are attending class field trip.

Answer to Problem 10CT

  $\text{79\%}$ of the females are attending the class field trip.

Explanation of Solution

Given:

A survey that has $271$ students.

  $121$ male responds and $92$ which attends the field.

  $31$ females are not attending.

  

Concept used:

Entries in the total row and total column are called marginal frequency or the marginal distribution. Entries in the body of the table are called joint frequencies. Ratio is in the form of division and percentage is a number or ratio expressed as fraction of $100$ .

Calculation:

From the table,

  $\frac{119}{150}\approx 0.79\text{ or 79\%}$ of the females are attending the class field trip.

Hence, the $\text{79\%}$ of the females are attending the class field trip.