Describe the difference between a problem statement and a purpose statement.   Which will be more difficult for you to write effectively and why on a topic where you want to do a dissertation on women

Describe the difference between a problem statement and a purpose statement.

Which will be more difficult for you to write effectively and why on a topic where you want to do a dissertation on women in leadership positions and the challenges they may have dealing with female subordinates? Internet refences only for verification and no more than 200 words. Thank you