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Chapter 5: Problem 95

A 2017 Pew Research poll found that \(72 \%\) of Democrats and \(36 \%\) of Republicans felt that colleges and universities have a positive effect on the way things are going in the United States. If 1500 Democrats and 1500 Republicans were surveyed, how many from each group felt that colleges and universities have a positive effect on the country?

Short Answer

Expert verified
1080 Democrats and 540 Republicans felt that colleges and universities have a positive effect on the country.

Step by step solution

01

Find the number of Democrats who felt positive

To find out how many Democrats felt that colleges and universities have a positive effect on the country, multiply the total number of Democrats (1500) by the percentage that felt positive (72%). Convert the percentage to a decimal by dividing by 100. So, the calculation would be \(1500 \times \frac{72}{100}\).
02

Calculating the exact number of Democrats

Following the formula described in the previous step, the exact number turns out to be: \(1500 \times \frac{72}{100} = 1080\). Therefore, 1080 Democrats believe that colleges and universities have a positive effect.
03

Find the number of Republicans who felt positive

To find out how many Republicans felt positive, perform the same calculation that was done for Democrats, but now with the value for Republicans. The calculation would be \(1500 \times \frac{36}{100}\).
04

Calculating the exact number of Republicans

Following the formula described in the previous step, the exact number is calculated as: \(1500 \times \frac{36}{100} = 540\). Therefore, 540 Republicans believe that colleges and universities have a positive effect on the country.

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