Question

The result for a survey of 120 students who were selected randomly are listed below

· 60 students have a cell phone plan with company X
· 36 students have a cell phone plan with company Y
· 24 students do not have a cell phone

The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?

A) 144
B) 127
C) 143
D) 163


*NOTE* Please show your work, No random answers.

Answer 1

The correct answer would be Choice B: 127.

In the survey 36 out of 120 when will Company y, that is 30%.

30% of 380 is 114. Choice B is the closest number to 114. So I would select that answer.

Answer 2

144

Explanation:

In a survey of 120 students

36 students have a cell phone plan with company Y

So, percentage of students having y cell phones =
`(36)/(120) * 100`

=
`30\%`

Thus 30% of the students have a cell phone plan with company Y

Now we are given that The total population of students was 380.

So, out of 380 , no. of students having cell phones of company y :

`30\% * 380`

`(30)/(100) * 380`

`114`

Hence the best approximation for the total number of students who have a cell phone plan with company is 144