Question

At a 10 percent significance level and for a sample size of 170, you need to obtain a sample proportion above ___ to reject H0: p = 0.10 and prove H1: p > 0.10.

Answer 1

Answer)

From z table, p(z>1.28) = 10%

Z = 1.28

Rejection region is reject Ho if test statistics is greater than 1.28

Test statistics = (P - Po)/standard error

Standard error = √{Po*(1-Po)}/√n

Po = 0.1

N = 170

We need to find P

1.28 = (P-0.1)/√{0.1*0.9/170}

P = 0.12945145557 ~ 0.13