Both!

First, change the description to reflect the fact that these tests describe the behavior of the factories.
Second, write new tests that don't use FactoryGirl, so as to describe the various states that a user can be in with regard to their application.

e.g.

```Ruby
describe 'new_member factory' do
  it 'should create a user that declares itself to be a mentor' do
    user = new_mentor
    user.is_mentor?.should be_true 
  end
end
describe 'new_mentor factory' do
  it 'should create a user that declares itself to be a mentor' do
    user = new_member
    user.is_member?.should be_true
  end
end

describe 'is_member' do
  it 'should be false if the user has no approved application' do
    user = User.new
    user.is_member?.should be_false
  end
  
  it 'should be false if the user has an unapproved application' do
    user = User.new
    user.uuid = '12345'
    MemberApplication.create!(user_uuid: user.uuid)
    user.is_member.should be_false
  end

  it 'should be true if the user has an approved application' do
    user = User.new
    user.uuid = '12345'
    MemberApplication.create!(user_uuid: user.uuid)
    user.is_member.should be_false
  end
end

describe 'is_mentor' do
  #same again...
end
```