Question

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:

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value
p1 - p2 561 4908 492 4899 0.01387452 0.0062523513 2.2190883 0.0265

Hence,

Ho: ptreatment = pplacebo

Ha: ptreatment pplacebo

z = 2.22

P - value = 0.0265

Conclusion: Option B is correct.

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