/77231/assignments/295419?module item id-1084333 PreviousProblem List Next (1 po

Question

/77231/assignments/295419?module item id-1084333 PreviousProblem List Next (1 point) Independent random samples, each containing 50 observations, were selected from two populations. The samples from populations 1 and 2 produced 22 and 11 successes, respectively. Test Ho (Pi -P2)0 against Ha: (pi-P2) >0. Use a 0.01 (a) The test statistic is (b) The P-value is (c) The final conclusion is OA. There is not suficient evidence to reject the nul hypothesis that (P P2)0 oB. We can reject the null hypothesis that (pi-P) 0 and support that (Pi P2)0 Note: You can eam partial credit on this problem Preview My Answers Submit Answers /teftectiveUserabalhazmi&usersbalhazmis;

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary 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

Hypothesis test results:

Hence,

a) Test statistic = 2.3393668

b) P - value = 0.0097

c) Final conclusion: Option B is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 22 50 11 50 0.22 0.094042544 2.3393668 0.0097

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