A  local  men's  clothing  store  is  being  sold.  the  buyers  are  trying  to  estimate  the  percentage  of  items that  are  outdated.  they  will  choose  a random  sample  from  the  100,000  items  in  the  store's inventory  in  order  to  determine  the  proportion  of  merchandise  that  is  outdated.  the current owners  have  never  determined  the  percentage  of  outdated  merchandise  and  cannot    the buyers.  how  large  a  sample  do  the buyers  need  in  order  to  be  95%  confident  that  the  margin  of error  of  their  estimate  is  about  5%?

385

Step-by-step explanation:

Formula to find the sample size is given by :-

, where p = prior estimate of population proportion.

E= Margin of error.

= z-value for confidence interval of c.

When prior estimate of population proportion is not available , we take p= 0.5.

Then the above formula becomes ,

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval =

The current owners have never determined the percentage of outdated merchandise and cannot help the buyers.

i.e. prior estimate of population proportion is not available.

Margin of error : E= 5%=0.05

Now, the required minimum sample size would be :-

Simplify ,

Thus , the minimum sample size needed by the buyers = 385

answer: the answer is e

step-by-step explanation:

i think the answer is b