要 can mean "to want", "to need" or "going to" and can be used before a noun or verb. 想 means "to want" (or "would like") when before a verb and "to miss" when before a noun. It can also mean "to think". You can also say 想要.

They are all correct.But sometimes they are the same meaning,just like your example. Must say the difference between them: 想means "want to do something". 要means "going to do something" Hope it'll help you.

想 是一种心理活动。 要 是将要行动的趋势。用“要”会更坚决点

我想是带有一种询问的征求别人意见的口气说得。 我要是非常肯定的不容质疑的口气说得。