Question 8 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The sample proportion is 72/90 = 0.80. For a 99% confidence interval, use z ≈ 2.576; the standard error is √[0.80(0.20)/90] ≈ 0.042, giving a margin of error of 2.576(0.042) ≈ 0.109. Thus the interval is 0.80 ± 0.109, or approximately (0.69, 0.91), choice C.
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