In each of the following cases, compute 95 percent, 98 percent, and 99 percent c
ID: 3154560 • Letter: I
Question
In each of the following cases, compute 95 percent, 98 percent, and 99 percent confidence intervals for the population proportion p.
(a) 1formula31.mml = .9 and n = 96 (Round your answers to 3 decimal places.)
95 percent confidence intervals is [, ]
98 percent confidence intervals is [, ]
99 percent confidence intervals is [, ]
(b) 1formula31.mml = .2 and n = 275. (Round your answers to 3 decimal places.)
95 percent confidence intervals is [, ]
98 percent confidence intervals is [, ]
99 percent confidence intervals is [, ]
(c) 1formula31.mml = .9 and n = 124. (Round your answers to 3 decimal places.)
95 percent confidence intervals is [, ]
98 percent confidence intervals is [, ]
99 percent confidence intervals is [, ]
(d)
1formula31.mml = .7 and n = 66. (Round your answers to 3 decimal places.)
95 percent confidence intervals is [, ]
98 percent confidence intervals is [, ]
99 percent confidence intervals is [, ]
Explanation / Answer
95%confidence interval isp± 1.96 pq/n
95%confidence interval is0.9 ± 1.96 (0.9)(0.1)/96
[0.84 , 0.96]
98%confidence interval isp ± 2.33 pq/n
98%confidence interval is0.9 ± 2.33 (0.9)(0.1)/96
[0.8287 , 0.9713]
99%confidence interval isp ± 2.58 pq/n
99%confidence interval is0.9 ± 2.58(0.9)(0.1)/96
[0.8211 , 0.9789]
95%confidence interval isp± 1.96 pq/n
95%confidence interval is0.2 ± 1.96 (0.2)(0.8)/275
[0.1528 , 0.2472]
98%confidence interval isp ± 2.33 pq/n
98%confidence interval is0.2± 2.33 (0.2)(0.8)/275
[0.1438 , 0.2563]
99%confidence interval isp ± 2.58 pq/n
99%confidence interval is0.2 ± 2.58(0.2)(0.8)/275
[0.1378, 0.2622]
95%confidence interval isp± 1.96 pq/n
95%confidence interval is0.9 ± 1.96 (0.9)(0.1)/124
[0.8473, 0.9527]
98%confidence interval isp ± 2.33 pq/n
98%confidence interval is0.9 ± 2.33 (0.9)(0.1)/124
[0.8373, 0.9627]
99%confidence interval isp ± 2.58 pq/n
99%confidence interval is0.9 ± 2.58(0.9)(0.1)/124
[0.8311 , 0.9694]
95%confidence interval isp± 1.96 pq/n
95%confidence interval is0.7± 1.96 (0.7)(0.3)/66
[0.5895, 0.8105]
98%confidence interval isp ± 2.33 pq/n
98%confidence interval is0.7± 2.33 (0.7)(0.3)/66
[0.5686, 0.8314]
99%confidence interval isp ± 2.58 pq/n
99%confidence interval is0.7 ± 2.58(0.7)(0.3)/66
[0.5545, 0.8455]
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