On theinternet, domain names(like microsoft.com, office.com, or amazon.com) are a limitedresource: only one person or group can register each one. Short domain names are quite desired, and few Canadian domains consisting of three letters remain available for new registration.(For example, xyz.ca and ahf.ca are alreadyregistered.) There are more than17,000 possible three letter Canadian domainnames, and a professor wanted to estimate the proportion of three letter domain names still available for registration using a confidence interval.

To estimate the proportion of three letter Canadian domain names still available forregistration, the professor took a simple random sample of 500 three letter domain names and checked to see if they could be registered. Of the domain names in thesample, only 2 were available for registration.

The professor wants to make a confidence interval of the form

pz*

p1

pn. Are the assumptionsmet?

First, clearly answer YES(the assumptions aremet) or NO(the assumptions are notmet). Then, briefly explain why the assumptions are met or are not met.