Question 30 • Statistics
The sample proportion is 39/75 = 0.52. For a one-proportion z-test, use the claimed proportion, 0.55, to calculate the standard error: √[0.55(1 − 0.55)/75]. This gives z = (0.52 − 0.55)/√[0.55(1 − 0.55)/75] ≈ −0.52. Because the alternative is that the true proportion is less than 0.55, the left-tail p-value is about 0.3015, matching choice B.
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