Please answer 7.6 (a) part v. Math score for a girl in a regular-sized class with a teacher having10 years of experience?iii. What is the null hypothesis, written in terms of the model parameters, that the sex of the childhas no effect on expected math score? What is the alternative hypothesis? What is the teststatistic for the null hypothesis and what is its distribution if the null hypothesis is true? Whatis the test rejection region for a 5% test when N = 1200?iv. It is conjectured that boys may benefit from small classes more than girls. What null and alter-native hypothesis would you test to examine this conjecture? [Hint: Let the conjecture be thealternative hypothesis.]7.6 In 1985, the state of Tennessee carried out a statewide experiment with primary school students. Teach-ii. What is theers and students were randomly assigned to be in a regular-sized class or a small class. The outcomeof interest is a student's score on a math achievement test (MATHSCORE). Let SMALL = 1 if thestudent is in a small class and SMALL = 0 otherwise. The other variable of interest is the number ofyears of teacher experience, TCHEXPER. Let BOY = 1 if the child is male and BOY = 0 if the childis female.8.Write down the econometric specification of the linear regression model explaining MATHSCOREas a function of SMALL, TCHEXPER, BOY and BOY X TCHEXPER, with parameters B₁, B₂,....i. What is the expected math score for a boy in a small class with a teacher having 10 years ofexperience?ii. What is the expected math score for a girl in a regular-sized class with a teacher having10 years of experience?iii. What is the change in the expected math score for a boy in a small class with a teacher having11 years of experience rather than 10?iv. What is the change in the expected math score for a boy in a small class with a teacher having13 years of experience rather than 12?v. State, in terms of the model parameters, the null hypothesis that the marginal effect of teacherexperience on expected math score does not differ between boys and girls, against the alterna-tive that boys benefit more from additional teacher experience. What test statistic would you useto carry out this test? What is the distribution of the test statistic assuming then null hypothesisis true, if N = 1200? What is the rejection region for a 5% test?b. Modify the model in part (a) to include SMALL X BOY.i. What is the expected math score for a boy in a small class with a teacher having 10 years ofexperience?ii. What is the expected math score for a girl in a regular-sized class with a teacher having10 years of experience?iii. What is the expected math score for a boy? What is it for a girl?

Question

Accepted Answer

The model is given as:
MATHSCORE=β0+β1SMALL+β2TCHEXPER+β3BOY+β4(BOY*TCHEXPER)+e