estimate the population propor
2013-05-14 1:33 am
a random sample of size 100 is taken and 30% of the sample possesses the characteristic. the 90% confidence interval to estimate the population proportion is____?
回答 (1)
2013-05-14 4:07 am
✔ 最佳答案
p = 30/100 = 0.3, α = 0.1, Z_α/2 = 1.645p(1 - p) = 0.3 * 0.7 = 0.21, √[p(1 - p)/n] = 0.04583
So, the 90% confidence interval to estimate the population proportion is
p - Z_α/2 * √[p(1 - p)/n] < p_0 < p + Z_α/2 * √[p(1 - p)/n]
0.3 - 1.645 * 0.04583 < p_0 < 0.3 + 1.645 * 0.04583
0.2246 < p_0 < 0.3754
收錄日期: 2021-04-27 20:03:33
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