Please answer only number 3. Thanks!

2. In a famous sociological study called Middletown, Lynd and Lynd (1956) administered questionnaires to 758 high school students. The students were asked which two of ten given attributes were most desirable in their fathers. The following table shows how the desirability of the attribute \"being a college graduate\" was rated by male and female students. Did males and females value this attribute differently? State the null and alternative hypotheses, provide the value of the test statistics, the pvalue, and state your decision and your conclusion. _ 360 3. In this problem we are going to perform a (generalized) likelihood ratio test for the data provided in problem 2. a) Derive the expression of the numerator of the (generalized) likelihood ratio test statistics for the data in Problem 2, that is, derive the expression of the maximized likelihood under the null hypothesis, or supseaoLw; 1111,1112, 1121, 1122). b) Derive the expression of the denominator of the (generalized) likelihood ratio test statistics for the data in Problem 2, that is, derive the expression of the maximized likelihood under the null hypothesis, or supsenql; 1111,1112, 1121,1122). c) Plug in the data and calculate 210gA = 2 - [log(0) log(1)] where L0 = supsenoL(9i n11,n12,n21,n22) and L1 = supgenL(0;n11,n12,n21,n22). cl) What is the distribution of 2 log A? e) Based upon your answers to (c) and (d) would you reject the null hypothesis at a significance level ofcr = 0.05