Question

Assume that the significance level is a=0.1. Use the given information to find the P-value and the critical values.
The test statistic of z= 1.26 is obtained when testing the claim that p>0.9.

Answer 1

Given that, significance level $(\alpha)$ = 0.1

The null and the alternative hypotheses are,

$H_0: p \leq 0.9$

$H_a: p > 0.9$

Test statistic of z = 1.26

since, it is right tailed test,

p-value = P(Z > 1.26) = 1 - P(Z < 1.26) = 1 - 0.8962 = 0.1038

p-value = 0.1038

critical value at a = 0.1 is, z^* = 1.28