Assume you are the factory manager The Quality Control worke

Assume you are the factory manager. The Quality Control worker just told you that the 95% Confidence Interval for proportion of defective toys for the week is ( .08, .20) A new customer would like to buy all of the toys made during this week. The customer says that he will buy them only if you can guarantee 5% (.05) or less are defective. Based on the information you have, can you sell these toys to your new customer?

Solution

NO, because the whole interval is greater than 0.05. [ANSWER, NO]