The question is not completely clear. It is important to avoid talking to police at all. If that has happened already, then it is important to avoid doing it ever again. During questioning, police often claim to have evidence that they do not in fact have; exaggerate what they think they have; and sometimes outright lie. It is bait. It is best not to take the bait. It is best to say nothing, normally, and simply wait to see the Complaint should one ever be filed. Pre-charge it is important to avoid giving them evidence they do not already have.
Based on the facts you provided there are several significant issues in your case which may affect its outcome (e.g. whether the statement was properly obtained).
That said, a public forum isn't the place to discuss the issues surrounding your current criminal charge for obvious reasons.
I would be happy to discuss your case with you in confidence and provide you with a FREE case consultation.
You can call me at 763-222-6915 or visit my website for more contact information.
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Hiring an experienced defense attorney is the best way to protect your rights and safeguard your record. Most attorneys on Avvo and in the community offer free consults. I would be happy to discuss your case with you today too in confidence and free.
Also the main gist of your question focuses on statements that the police are attributing to you. In a trial, this is not considered hearsay, but rather an admission by the defendant. It is admissible and you could be convicted with that evidence presuming there is some other evidence tying you to the incident. That is why it is important to litigate the statements to determine if your rights were violated when your statement was obtained.
I can explain your options in more detail today if you'd like. My number is 612-810-0060.
More info about me and my practice can be found at http://campolidefense.com.
The cop is using a technique on you hoping that you will think they have the good on you. don't talk to the cops again w/out a lawyer. The more statements you give, the more inconsistencies you will have and that is what he is looking for. Your question about losing on hearsay is vague. Presumably, the police would need more than hearsay to convict you.