The following results are for independent random samples taken from two populations:

** Sample
1 Sample 2**

** n1
= 200 n2
= 300**

** p _{1}
= .22 p_{2}
= .18**

Using alpha = **.05**, test to see if the two population
proportion's are the same.

For this problem **Ho : p _{1} - p_{2} =
0**

** Ha : p _{1} - p_{2 } **

Remember **x1 = (n1)(p _{1}) = 44 **and

On the calculator we once again go to the **"TESTS"**
menu.

Press

Next **Arrow right** to
**"TESTS"** and **Arrow down** to **"6 : 2-PropZTest..."
(you should be looking at this screen) **

Press (you will
see this screen)

We will test **"**".

Finally **Arrow down** to
**"Calculate"** and press
(this screen will appear)

As you can see from the screen the p-value is **.270**
which is **not** **< .05 **so we do **not** reject **Ho.**

There is not sufficient evidence at the **a**** = .05**
level to reject the claim that these two proportions are the same.