We need to find a 95% Confidence Interval. Alpha = .05, n=10, b = 4. Using the binomial table, the answer for the confidence interval is (.1216,.7376). I need to know how to use the binomial table in order to get that answer.
How do you use the binomial table to get the confidence interval (.1216,.7376).
For finding exact confidence interval for population proportion using binomial distribution, we need to use beta distribution
Because CDF of binomial distribution follows beta distribution.
Using excel:
Lower limit of p :
The general command is "=1-BETAINV((1-/2 ,n - k + 1, k)
Here k = number of success = 4
n = 10
Therefore, lower limit of p is = "=1-BETAINV(0.975,7,4)" = 0.121552 = 0.1216 (After rounding it up to fore decimal)
Upper limit of p :
The general command is "=1-BETAINV((/2 ,n - k, k+1)
Therefore, lower limit of p is = "=1-BETAINV(0.025,6,5)" = 0.121552 = 0.0.737622 = 0.7376 (After rounding it up to fore decimal)
Note that, we can not directly use Binomial table to find the exact confidence interval of population proportion p.
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