Suppose a large shipment of compact discs contained 19% defectives. If a sample of size 343 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4%? Round your answer to four decimal places.

The value is  

Step-by-step explanation:

From the question we are told that

    The population proportion is

   The sample size is n = 343

 Generally given that the ample size is large enough , i.e  n > 30 then the mean of this sampling distribution is mathematically represent

 Generally the standard deviation is mathematically represented as

=>    

=>  

Generally the the probability that the sample proportion will differ from the population proportion by less than 4% is mathematically represented as

=>  

From the z table  the area under the normal curve to the left corresponding to  1.887  and  - 1.887  is

and  

So

=>  

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column