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

=>  

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.