It is asserted that a coin is being tossed in independent tosses. You are somewhat skeptical…
It is asserted that a coin is being tossed in independent tosses. You are somewhat skeptical about the independence of the tosses because you know that some people practice tossing coins so that they can increase the frequency of getting a head. So you wish to assess the independence of (x1…….xn ) from a Bernoulli(θ) distribution. ngth n with entries from 0, 1
(b) Using this conditional distribution, determine the distribution of the number of 1’s observed in the first [n2] observations.
(c) Suppose you observe (1, 1, 1, 1, 1, 0, 0, 0, 0, 1)Compute an appropriate P-value to assess the independence of these tosses using (b).