Suppose someone claims to have gotten 4 heads in a row when she flipped a fair coin. Would you believe her? Support your answer using probability. Solution let X is a Bernoulli random variable with success probability p and success is occurance of head.my sample is 1,1,1,1. want to test p=1/2 vs p?1/2 . y= X1+X2+X3+X4 ~ Binomial(4,p).Test statistic will be y which will follow Binomial(4,1/2 ) under null .4 will fall in the rejection region.For this sample my observed y is 4.so we will reject the null based on this sample.We will noe believe that the coin is a fair one.