So 'people means the states? That means that the 1st, 4th and 10th Amendments are for the states?
If that is true then the 10th Amendment is written very strangely. "The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people." would mean 'The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively or to the States.'
Doesn't make much sense does it?
No it doesn't. Unfortunately the courts have screwed this one up.