Question

Suppose on a given week, the call center is able to answer 4,547 calls within two minutes out of an average call volume of n=5,000 calls. Would you be able to be 95% certain that this sampled data proved the call center was answering over 90% of calls within two minutes?    Justify your answer by using confidence intervals.

Answer 1

Answer:

n=5000, x= 4547, C=95%

Formula for confidence interval is

Where Zc is the Z critical value with C=95%

Zc= 1.96

0.90144 < P < 0.91736

thus we get confidence interval as

(0.9014 , 0.9174)

Now we can say,

sampled data prove that the call center was answering over 90% of calls within two minutes

Because, our confidence intervals lower bound is 0.9014 (90.14%) which is greater than 90%.