Is it possible to get a false negative at 5 weeks with a dollar store test? It's the only one I have taken

Lexi
Last month I didn't really have a period. It was there but super super light and no clotting which is weird for me. Since then I have been so naseous and my boobs are sore and I'm also so tired. I had one day where I wiped and there was a little bit of blood and so I wiped again and nothing and I have never spotted inbetween periods. My mom also got sympathy symptoms when my sister was pregnant and she is convinced I am pregnant. I am also so bloated and that always goes away after my period. Oh I am also very thirsty and every time I go pee It had such a strong smell even when it's clear. I took a dollar store test at what would have been 5 weeks I think and it was negative and that's the only one I have taken. But could it be wrong? 

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