Question

The test statistic of z=−1.59 is obtained when testing the claim that p<0.85. a. Using a significance level of α=0.10, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?

Answer #1

Here we have to test that

Null hypothesis :

Alternative hypothesis:

where

The test statistic of z = −1.59

Significance level = = 0.10

Test is left tailed test.

z critical value for = 0.10 is

z = -1.28 (From statistical table of z values)

**z critical value = -1.28**

Here test statistic < z critical value

**So we reject H0.**

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Can someone explain how to find the answer step by step without
a calculator, I'm Completely lost with the fraction.

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