Question

Fill in the blanks to complete the following statements.

Bold left parenthesis a right parenthesis(a)
For the shape of the distribution of the sample proportion to be approximately? normal, it is required that
?np(1minus??p)greater than or equals??______.
Bold left parenthesis b right parenthesis(b)
Suppose the proportion of a population that has a certain characteristic is
0.70.7.
The mean of the sampling distribution of
ModifyingAbove p with caretp
from this population is
mu Subscript ModifyingAbove p with caret?pequals=?______.

Answer 1

The normal approximation for the binomial distribution is applied if the following conditions are satisfied. op 210 . n(1-p)210 Here Size of the sample is denoted by n Probability of success is denoted by p. Therefore, for the shape of the distribution of the sample proportion to be approximately normal, it is required that p(1- p)210. For sample size n, the mean of the sample proportion proportion: equals the population From the given information, the proportion of a population that has a certain characteristic is 0.7 The mean of the sampling distribution from this population is pup 0.7