Question

Wildlife biologists inspect 137 deer taken by hunters and find 26 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. (Round to one decimal place as needed.)

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

Answer 1

Confidence interval and sample size calculation from margin of error formula.

Gioen that Tatal ingfected deer (n) l37 dleer Ca tcke 26 26 Rroev tion Coyrg 0.19 37 oy Canfidence ntexual PtMaugin f eror C.I magin ErvOr (MEJ PCL-P) crtical Valeue (-Cu 0-9x Ci-oa 137 (.6 O.0335 ME O. 05446 Confidence Tnterual O- o.054 O.A5, 0-245 in half Margih 2. Ener 0.05A6 2 Naw ME 0.02748 P C-e) we now 64 MLE L0Joncto O-0274 23.4124 veguired to Cutdoun Mb half is 58 Sample Sie