Sure, let's carefully solve this step by step.
1. Total number of college students surveyed: 1500
2. Number of students reporting Type I Diabetes: 4
To find the prevalence of Type I Diabetes, we need to determine the proportion of students with Type I Diabetes out of the total number surveyed and then convert this proportion to a percentage.
First, calculate the proportion:
[tex]\[
\text{Proportion} = \frac{4 \text{ (students with Type I Diabetes)}}{1500 \text{ (total students)}} = \frac{4}{1500}
\][/tex]
Next, convert this proportion to a percentage by multiplying by 100:
[tex]\[
\text{Prevalence (in percentage)} = \left(\frac{4}{1500}\right) \times 100
\][/tex]
Performing the division and multiplication:
[tex]\[
\left(\frac{4}{1500}\right) \times 100 \approx 0.26666666666666666 \%
\][/tex]
Rounding to two decimal places, the prevalence is:
[tex]\[
0.27 \%
\][/tex]
So the correct answer is:
[tex]\[
\boxed{(4 / 1500) * 100=0.27\%}
\][/tex]
