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With the growing prevalence of wireless sensor networks comes a new need for location-based access control mechanisms. Thus we need a method to perform location verification to enforce location-based access to information resources. In this work, a statistic location verification algorithm in randomly deployed sensor networks is proposed. The nodes in the networks are classified to three roles. The claimer broadcasts the position message. The witnesses rebroadcast it and report the distance and lowest hop information to the verifier. The verifier makes use of hypothesis tests to make a decision. At last the simulation results confirm the validation of the algorithm.