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法律研究如何在 R 中查詢二項分佈的 95% 置信區間？
二項分佈資料有兩個引數，樣本容量和成功次數。要查詢 95% 置信區間，我們只需使用 R 中的 prop.test 函式即可，但我們需要確保將正確的引數設為 FALSE，以便在不進行連續修正的情況下計算置信區間。在以下示例中，我們查找了不同樣本容量值和成功次數的 95% 置信區間。
範例
prop.test(x=25,n=100,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 25 out of 100, null probability 0.5 X-squared = 25, df = 1, p-value = 5.733e-07 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.1754521 0.3430446 sample estimates: p 0.25
範例
prop.test(x=5,n=100,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 5 out of 100, null probability 0.5 X-squared = 81, df = 1, p-value < 2.2e-16 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.02154368 0.11175047 sample estimates: p 0.05
範例
prop.test(x=5,n=1000,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 5 out of 1000, null probability 0.5 X-squared = 980.1, df = 1, p-value < 2.2e-16 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.002137536 0.011650955 sample estimates: p 0.005
範例
prop.test(x=5,n=10,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 5 out of 1000, null probability 0.5 X-squared = 980.1, df = 1, p-value < 2.2e-16 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.002137536 0.011650955 sample estimates: p 0.005
範例
prop.test(x=50,n=100,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 50 out of 100, null probability 0.5 X-squared = 0, df = 1, p-value = 1 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.4038315 0.5961685 sample estimates: p 0.5
範例
prop.test(x=500,n=1125,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 500 out of 1125, null probability 0.5 X-squared = 13.889, df = 1, p-value = 0.0001939 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.4156458 0.4736212 sample estimates: p 0.4444444
範例
prop.test(x=5000,n=9874,conf.level=0.95,correct=FALSE)
輸出
1-sample proportions test without continuity correction data: 5000 out of 9874, null probability 0.5 X-squared = 1.6079, df = 1, p-value = 0.2048 alternative hypothesis: true p is not equal to 0.5 95 percent confidence interval: 0.4965185 0.5162373 sample estimates: p 0.5063804
更新時間：2020 年 10 月 10 日
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