Respuesta :
Answer:
The Mean of the sampling distribution is μ = p = 0.61
Step-by-step explanation:
Given size of the sampling distribution (n) = 50
Suppose the population proportion of American citizens who are in favor of gun control is .61
That is p = 0.61
Sampling distribution of proportions:-
Let p be the probability of occurrence of an event (called its success) and q =1-p is the probability of non- occurrence (called its failure).Draw all possible samples of size n from an infinite population.
Compute the proportion P of success for each of these samples. Then [tex]u_{p}[/tex]
and variance sampling distributions are given by
[tex]u_{p} =p[/tex] and
variance [tex]\frac{pq}{n}[/tex]
Standard deviation (S.D) = [tex]\sqrt{\frac{pq}{n}}[/tex]
Mean of the sampling distribution:-
The Mean of the sampling distribution is μ = p
Given data the proportion of American citizens who are in favor of gun control is 0.61
p = 0.61
The Mean of the sampling distribution is μ = p = 0.61
