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

=>  

20

step-by-step explanation: