Question

we have used two distributions for the variable p-hat. What are these distributions? What are the similarities and differences between these two distributions?   Discuss why one of these distributions gives the exact probability values and the other is used to approximate probability values.

Answer 1

Answer:

Here the two distributions are p^ ordinary or normal distributions and p^ binomial distributions.

In the event that ,

i.e.,

np(1-p) >= 10

then the distributions of p^ is ordinary or normal and distribution turns out to be roughly bell - molded.

where as

n is the sample size and

p is the corresponding probability.

In binomial distributions gives the specific likelihood esteems in light of the fact that there are just two potential results, number of trails are fixed and autonomous of one another.

Normal distribution gives estimated likelihood esteems since here sample size is very huge.