Two Proportion Population Test

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

          Sample 1           Sample 2

           n1 = 200             n2 = 300

            p₁ = .22             p₂ = .18

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

For this problem Ho : p₁ - p₂ = 0

Ha : p₁ - p₂ ­ 0 so reject Ho if p < .05

Remember x1 = (n1)(p₁) = 44 and x2 = (n2)(p₂) = 54

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.