Question

3. X = b(200, p), p0 = 0.6, x = 155, the significance level is α = 0.01. The null hypothesis is p = p0, the alternative hypothesis is p > p0. Should we accepts or reject the alternative hypothesis look below:

I know the answers to this problem. I just need help on finding the critical value z. PLEASE EXPLAIN

Answer 1

Here we are given = 0.01 and alternative hypothesis

H_{​​​​​​1}​​​​​ : p > p_​​0

Now we have to find the Z critical for = 0.01 and right tailed test.

Zcritical ⁼ Z_{​​​​​​1-0.01} = Z_{​​​​​​0.99} .

Using Z table we have to see z score of which area to left is 0.99.

Z critical = 2.33