Broke wiring connectors. How do I fix them?

[bpk1337]

So, I was taking my tranny off the other day and I guess I forgot to disconnect a cable or it got caught in the process and broke when the tranny came off. So now I have one thin black wire with a yellow stripe which I'm pretty sure is a ground and a broken connector with one wire going into it. I cant figure out how to put it back together and if I'm missing something else here.

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[chadnum1]

top pic is your coolant sensor. gonna have to get a wiring terminal kit and fid the size that fits

 

[bpk1337]

top pic is your coolant sensor. gonna have to get a wiring terminal kit and fid the size that fits

Really? Where does it connect to on my coolant sensor? We're talking about the black wire with the yellow stripe in the first pic right?

A friend of mine told me to just take the connector off and connect the black and yellow wire to the one that is connected to the cable. Does this sound right?