Question

Local newspaper company wanted to determine if there is a need for a digital version of their newspaper. They sampled 80 of their subscribers and determined that 56 of them would be interested in the new services .

A.) what is the sample proportion

B.) if the total number of subscribers for the newspaper is 138,246 what would be the estimated number of subscribers who would be interested in the new digital version ?

Answer 1

A.) 7:3

B.) Approximately 96,772 people

Explanation:

The newspaper company sampled 80 of their subscribers.

56 of the 80 would be interested in the new services.

So, 80 - 56 = 24 people would not be interested in the new service.

The ratio of those interested in the new service to those who are not interested is:

56 : 24 simplified becomes 7 : 3 (We divide 56 and 24 by a common divisor = 8)

If the total number of subscribers for the newspaper is 138,346

The number of subscribers who would be interested in the new service would be:

`(7)/(10)` × 138,246 = 96,772.2 people

Because there are no 0.2 people, we remove the decimal point of the answer and hence;

Approximately 96,772 people would be interested in the new service.