Incorrect. This hypothesis is incorrect for a couple of reasons.
1) Our Null and Alternative Hypotheses do not encompass all possibilities. Our groups can either be equal or not equal (not equal can be broken down to less than, or greater than). Here our Null hypothesis is that Belize and Samoa are equal, thus our alternative hypothesis must encompass all other options (not equal in both directions), however, our alternative hypothesis states only that the Belize children are further from their mothers than children in Samoa. There is no consideration of the possibility that Belize children may be closer than children in Samoa.
2) Our alternative hypothesis states that Belize children are further from their mothers than children in Samoa. We want to state that Belize children are closer to their mothers than children in Samoa.