Question

Assume the normal distribution applies to a scenario where you are given H1: p ≠ 0.6 in a test using a significance level of α = 0.005. Find the critical z value(s).

z = –1.55


z = ±2.81


z = ±1.75


z = ±2.575

Answer 1

Correct answer is 2.81, not 2.575

Explanation:

Answer 2

Solution: The null and alternative hypotheses are:

`H_(0): p=0.6`

`H_(1)=p\\eq 0.6`

We have to find the two tailed critical z values.

We can find the critical z values at
`\alpha=0.005` using the standard normal table.

Now using the standard normal table, we have:

`z=\pm2.575`

Therefore, the option
`z=\pm 2.575` is correct