3 If n16 sample proportion 02 The hypotheses are Ho p 019

(3) If n=16, sample proportion = 0.2. The hypotheses are Ho: p = 0.19 and Ha: p > 0.19. What is the test statistic? Please show your work.

Solution

Null, H0:P=0.19
Alternate, H1: P>0.19
Test Statistic
Number of objects in a sample provided(n)=16
No. Of Success Rate ( P )= x/n = 0.2
Success Probability ( Po )=0.19
Failure Probability ( Qo) = 0.81
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.2-0.19/(Sqrt(0.1539)/16)
Zo =0.102