1. Suppose that we observe data {yi \"i=1 independently generated from a distribution with probability mass function f(y;9) = 9\"(1 + 601, y = 0,1, with some 9 > 0. (c) For 60 observations from this distribution with 221 yi = 14 , compute the value of the MLE 6: E)' = and its approximate standard deviation (estimated standard error, ESE): ESE() = Use the numbers with 5 decimal places in your calculation, but write the final answers with only 3 decimal places. (d) For the data given in (c), test hypothesis H0 : 9 = 60 against the alternative H1 : 6 79 60 with 90 = 0.25 using the score test, with the test statistic U (490) AU (60). Provide the following values with rounding to exactly 2 decimal places. (i) Value of the test statistic, U(l90)/1/I(l90) = (ii) Corresponding p-value = (iii) Do you reject the null hypothesis at 5% significance level? (No answer given)