Question

Tyler wonders what proportion of students at his school would dye their hair blue if their parents would let them. He surveyed a random sample of 10 students at his school, and 2 of them said they would. Kiran didn’t think Tyler’s estimate was very accurate, so he surveyed a random sample of 100 students, and 17 of them said they would.
Based on Tyler's sample, estimate what proportion of the students would dye their hair blue.______

Based on Kiran's sample, estimate what proportion of the students would dye their hair blue.______

Whose estimate is more accurate? Type Tyler or Kiran.______

Answer 1

Using the proportion concept, it is found that:

• According to Tyler's sample, the estimate is of 0.2 = 20%.

• According to Kyran's sample, the estimate is of 0.17 = 17%.

• Due to the higher sample size, Kyran's estimate is more accurate.

What is a proportion?

A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.

In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:

p = 2/10 = 0.2.

In Kiran's sample, 17 out of 100 would, hence:

p = 17/100 = 0.17.

Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.

More can be learned about proportions at brainly.com/question/24372153