Step 1 :Calculate the sample proportion as a fraction by dividing the number of successes (teenage mothers) by the total number of trials (total births). In this case, the number of successes is 38 and the total number of trials is 96. So, the sample proportion as a fraction is \(\hat{p}=\frac{38}{96}\).
Step 2 :Convert the sample proportion to a decimal by dividing the numerator by the denominator. So, \(\hat{p}=\frac{38}{96} \approx 0.40\).
Step 3 :Convert the sample proportion to a percentage by multiplying the decimal by 100. So, \(\hat{p}=0.40 \times 100 = 40\%\).
Step 4 :So, the sample proportion as a percentage is approximately \(\boxed{40\%}\).