Question 6 • CA-Statistics and Probability B
The sample proportion is 64/75 ≈ 0.853. For a 90% confidence interval, use z ≈ 1.645; the standard error is √(0.853 × 0.147/75) ≈ 0.041. The margin of error is 1.645 × 0.041 ≈ 0.067, giving 0.853 ± 0.067 ≈ (0.79, 0.92), which matches choice B, (0.79, 0.92).
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