It returns false because you need to escape the backslash when you define it as a string, like this:
var rePhoneNumber = new RegExp('\\([0-9]{3}\\)[0-9]{3}-[0-9]{4}');
But, since it is javascript, you can make a literal definition:
var rePhoneNumber = /\([0-9]{3}\)[0-9]{3}-[0-9]{4}/;
return rePhoneNumber.test('(555)555-5555');
Now it return true, since you don't need to escape the backslash.
See a working snippet here:
var rePhoneNumber = /\([0-9]{3}\)[0-9]{3}-[0-9]{4}/;
console.log(rePhoneNumber.test('(555)555-5555'));
var rePhoneNumber2 = new RegExp('\\([0-9]{3}\\)[0-9]{3}-[0-9]{4}');
console.log(rePhoneNumber2.test('(555)555-5555'));