In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p.

a. n = 10 and H0: p = 0.4.

b. n = 100 and H0: p = 0.6.

c. n = 1000 and H0: p = 0.996.

d. n = 500 and H0: p = 0.3.

Question

In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p. 

a. n = 10 and H0: p = 0.4. 

b. n = 100 and H0: p = 0.6. 

c. n = 1000 and H0: p = 0.996. 

d. n = 500 and H0: p = 0.3.

anonymous · Answer

@hartnn

yanasidlinskiy · Answer

The first condition that must be met to use a binomial approx. is that n*p and n*q both have to be greater than or equal to 5. 1-p=q, so just figure out whether all n*ps and n*qs meet that condition. hope that helped!