Question

(1 point) Independent random samples, each containing 800 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 581 and 221 successes, respectively. (a) Test Ho : (p1 – P2) = 0 against Ha : (Pi – P2) # 0. Use a = 0.01 test statistic = rejection region |z| > The final conclusion is # 0. A. We can reject the null hypothesis that (p1 – P2) = 0 and accept that (p1 – P2) B. There is not sufficient evidence to reject the null hypothesis that (p – p2) = 0. - p) > 0. Use a = 0.015 (b) Test Ho : (pi – P2) = 0 against H, : (p test statistic = rejection region z > The final conclusion is A. We can reject the null hypothesis that (p1 – P2) = 0 and accept that (p1 – P2) > 0. B. There is not sufficient evidence to reject the null hypothesis that (p1 – P2) = 0.

Answer 1

The statistic software output for this problem is:

(a)

Two sample proportion summary hypothesis test: Pi : proportion of successes for population 1 P2 : proportion of successes for population 2 P1-P2 : Difference in proportions Ho: P1 - P2 = 0 HA: P1 - P2 = 0 Hypothesis test results: Difference Count1 Totali Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value P1-P2 581 800 221 800 0.45 0.024999922 18.000056 <0.0001

Test statistics = 18.00

Rejection region |z| > 2.576

Option A)

b)

Test statistics = 18.00

Rejection region |z| > 2.326

Option A)