Could you help giving me explanations on this problem ? Thank you.

Let X be an unknown random variable. We ran n experiments for X, we denote by Y, (i 2 0) the number of samples that are equal to i. Suppose that X is a binomial random variable b(4, p) with p unknown. the maximum likelihood estimate p is equal to D = Y1 + 2Y2 + 3Y3 + 4YA An We took n = 32 samples of X, and we get Yo = 2; Y1 = 8; Y2 = 8; Y3 = 8; Y4 = 6. Suppose that the hypotheses are . Null hypothesis Ho: X is a binomial random variable b(4, p) for some unknown p. . Alternative hypothesis H1: the null hypothesis is false. Can we reject the null hypothesis at a = 0.05 significance level