The paper presents a detailed analysis of two Ives of pseudorandom binary sequence generators obtained by using tent map. The test is performed using a NIST statistical test suite which is widely used for testing the randomness of any random number generator. The binary sequences under investigation are obtained either by considering all the successive iterations of the tent map and choosing a threshold equal to the tent map parameter or by applying a periodical sampling on the tent map values and by choosing a threshold equal to 0.5. Additionally, the paper comes up with a new discussion concerning the elements of the secret key for both of the generators. Based upon the results presented in the paper, both generators can be used for designing a new cipher where the pseudorandom binary sequence is the main ingredient of the cipher.