Independent random samples, each containing 80 observations, were selected from
ID: 3218866 • Letter: I
Question
Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 35 and 23 successes, respectively. Test H_0: (p_1 - p_2) = 0 against H_alpha: (p_1 - p_2) notequalto 0. Use alpha = 0.02 The test statistic is __________ The P-value is ____________ The final conclusion is There is not sufficient evidence to reject the null hypothesis that (p_1 - p_2) = 0. We can reject the null hypothesis that (p_1 - p_2) = 0 and support that (p_1 - p_2) notequalto 0Explanation / Answer
The statistical software output for this problem is:
Two sample proportion hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0
Note: the standard error is calculated using a pooled estimate for the proportion
Hypothesis test results:
a) Test statistic = 1.9735
b) p - value = 0.0484
c) Final conclusion: Since p - value is greater than 0.02, we do not reject the null hypothesis.
Option A is correct.
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 35 80 23 80 0.15 0.07600884 1.9734547 0.0484