Suppose 55U% of the population has a retirement account. If a random sample of size 639639 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%3%

The probability is

Step-by-step explanation:

From the question we are told that

  The population proportion is  p =  0.55

   The sample size is  n  =  639

Generally the standard deviation of this sampling distribution is mathematically represented as

=>    

=>    

Generally the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically evaluated as

=>    

=>    

From the z table the area under the normal curve to the left corresponding to -1.523 is

From the z table the area under the normal curve to the left corresponding to  1.523 is

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers