Question

Suppose we would like to test the hypothesis that at least 10% of students suffer from allergies. we collect a random sample of 225 students and 21 of them suffer from allergies. (a) state the null and alternative hypotheses. (b) obtain a test statistic and a p-value. (c) state the conclusion at the α = 0.05 level.

Answer 1

Set Up Hypothesis Null, at least 10% of students suffer from allergies H0:P>0.1 Alternate, not Ho, H1: PTest Statistic No. Of Success chances Observed (x)=21 Number of objects in a sample provided(n)=225 No. Of Success Rate ( P )= x/n = 0.0933 Success Probability ( Po )=0.1 Failure Probability ( Qo) = 0.9 we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n) Zo=0.09333-0.1/(Sqrt(0.09)/225) Zo...