This means that a majority of senators voted to oppose the bill, (after it had been approved by the house). Is that correct?
Are there common websites where you can see exactly how individual senators vote on specific issues? (in the UK we have publicwhip.org.uk where you can search anything that you care about and see if your mp voted in a way you agree with).
What method do americans tend to use to check that their politicians are voting in their interest?