These are all of my questions.

1. Phillips and Smith {1990} conducted a study to investigate whether people could briefly postpone their deaths until after the occurrence of a significant occasion. The senior woman ofthe household plays a central ceremonial role in the Chinese Harvest Moon Festival. Phillips and Smith compared the mortality pattern of old Jewish women and old Chinese women who died of natural causes for the weeks immediately preceding and following the festival, using records from California for the years 19601984. Compare the mortality patterns shown in the table. {Week 1 is the week preceding the festival, while week 1 is the week following the festival, etc.) 2. A sociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each sister whether she has 0, 1, 2 or more children. He wishes to compare older and younger sisters. Explain what the following hypotheses mean and how to test them. Give the name ofthe test or tests that you think you could use and provide an explanation as for your choice. a} The number of children the younger sister has is independent of the number of children the older sister has. b] The distribution of family sizes has is the same for younger and older sisters. Could one hypothesis be true and the other one false? Explain. 3. Dowdall {1974) studied the effect of ethnic background on role attitude of women ages 1564 in Rhode Island. Respondents were asked whether they though it was all right for a woman to have a job instead of taking care of the house and children while her husha nd worked. The following table breaks down the response by ethnic origin of the respondent. Is there a relationship between response and ethnic group? Ethnic Origin Yes No -_ French 42 23 Portuguese 29 7 4. In this problem we are going to perform a {generalized} likelihood ratio test for the data provided in problem 2 of Homework 3. The data is reported below: shortly, the data cross-tabulates the answers of 1'84 college students who were asked the most desirable attributes of their father. The table lists whether the attribute "being a college graduate" was one of the most desirable attributes mentioned by the students. Male Female \" Not mentioned . 283 . 350 a} Derive the expression of the numerator of the {generalized} likelihood ratio test statistics for the data above, that is, derive the expression of the maximized likelihood under the null hypothesis, or supeen'; on, 1112, 1121, 31.22). b] Derive the expression of the denominator of the {generalized} likelihood ratio test statistics for the data above, that is, derive the expression of the maximized likelihood under the null hypothesis, or supBELm; n11,n12,n21, on). c} Plug in the data and calculate 2 logo = 2 - [logCLuJ IogCL] where Lo = \"Parana-Cw; 1111, 1112, 1121, i122] and JC1 = Eileen-Cw; 1111, 1112, 1121, 1122}. d] What is the distribution of 21ogA? e) Based upon your answers to {c] and [d] would you reject the null hypothesis at a significance level of a = 0.05