Calculate the p value for a two sided exact binomial test Ca

Calculate the p value for a two sided exact binomial test. Calculate the p value of the two sided exact binomial test, using the distance approach and then again with the probability approach.

a) po= .3 n=10 x=1

b) po= .3 n=25 x=3

c) po= .7 n=20 x=11

Solution

1.

a) po= 0.3 n=10 x=1

q=0.7

P(x=r) = nCr * p^r * q^(n-r)

P(x=1) = 10C1 * 0.3^1 * 0.7^9

P(x=1)= 0.1210

b) po= 0.3 n=25 x=3

q = 0.7

P(x=3) = 25C3 * 0.3^3 * 0.7^22

P(x=3) = 0.0243

c) po= .7 n=20 x=11

P(x=11)= 20C11 * 0.7^11 * 0.3^9

P(x=11) = 0.0653