We want to find which conclusion is valid for the data given in the two-way table. We will check the validity of the given statements one at a time.

Statement F

We want to know if more than half of the students that $attended$ $the$ $basketball$ $game$ attended both $the$ $basketball$ $game$ $and$ $the$ $school$ $play .$ To so, we will find the relative frequency of students that $attended$ $the$ $basketball$ $game$ $and$ $the$ $school$ $play$ by row. Let's start by looking at the given table.

	Attended the School Play	Did Not Attend the School Play	Total
Attended the Basketball Game	$55$	$63$	$118$
Did Not Attend the Basketball Game	$88$	$15$	$103$
Total	$143$	$78$	$221$

We can see in the table that there are

118

students that attended the basketball game. Out of the

118

students,

55

students also attended the school play. To find the missing frequency, we can calculate the ratio of the number of students that

attended

the

basketball

game

and

the

school

play

to the total number of students that

attended

the

basketball

game .

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