Translation:My older sister does not want to stay at home.
I have asked this same question on other test cases. So far I have not got an answer. I entered 不要 into a translator and got "don't", 不想 revealed "don't want to". So, as a beginner, I would think 不想 would be the one to use. It would help if they explained these types of differences.
It would help if they provide tips for vocabulary. For example; hovering over 家 shows ‘home’, then 里 shows 'in'. So a beginner would write 'stay in the house'. If you type 家里 into a translation tool it reveals 'home'. Therefor tips for these vocabulary combinations or combining the characters and revealing the desired word would be a great help.