Question

Wildlife biologists inspect 137 deer taken by hunters and find 22 of them carrying ticks that test positive for Lyme disease.

A) Create a​ 90% confidence interval for the percentage of deer that may carry such ticks.

B) If the scientists want to cut the margin of error in​ half, how many deer must they​ inspect?

C) What concerns do you have about this​ sample?
A. Since females and young deer are usually not​ hunted, this sample may not be representative of all deer.​ Also, since deer ticks are parasites and can easily be spread from one deer to​ another, the ticks may not be distributed evenly throughout the deer population.

B. Since females and young deer are usually not​ hunted, this sample may not be representative of all deer.

C. Since deer ticks are parasites and can easily be spread from one deer to​ another, the ticks may not be distributed evenly throughout the deer population.

D. There are no concerns about this study.

Answer 1

Therefore, the 90% confidence interval is between 0.108984 and 0.212183.

The 90% confidence interval for the percentage of deer that may carry such ticks is between 10.8984% and 21.2183%.

(b) If the scientists want to cut the margin of error in​ half, how many deer must they​ inspect?

If the scientists want to cut the margin of error in​ half, then the sample size should be four times the current sample size.

Sample size, n = 137*4 = 548 deer

(c) What concerns do you have about this​ sample?

Since deer ticks are parasites and can easily be spread from one deer to​ another, the ticks may not be distributed evenly throughout the deer population.