SOLUTION: A researcher claims that 15% of children suffer from chronic ear infections. A sample of 100 children was taken and it was found that 18% of the children suffer from chronic ear in

Algebra ->  Statistics  -> Hypothesis-testing -> SOLUTION: A researcher claims that 15% of children suffer from chronic ear infections. A sample of 100 children was taken and it was found that 18% of the children suffer from chronic ear in      Log On


   



Question 1198408: A researcher claims that 15% of children suffer from chronic ear infections. A sample of 100 children was taken and it was found that 18% of the children suffer from chronic ear infections. Test at the 1% significance level if the proportion of children that suffer from a chronic ear infection is different from 15%. What is the p-value?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p = .15
Ha: p ≠ .15
two-tailed
Sample: n = 100, x̄ = .18,
.01 significance level
z = z+=blue+%28.18+-.15%29%2Fsqrt%28blue%28%28.15%29%28.85%29%2F100%29%29 = -.84
p = .2
.2 > .01, Fail to reject Ho.
Evidence not sufficient to support p ≠ .15