Race Low White Black Other Total No (birth weight > 25000g) 144 57 136 337 Yes (birth weight 25000g) 144 57 136 337 Yes (birth weight g 25000g) 100 15 36 151 Total 244 72 172 488 (a) At the 0.05 level of signicance, is there evidence of a signicant association between the race of the mother and a baby of low birth weight? Include mention of Ho and H1, the observed value of the test statistic, the pvalue, a decision, and a conclusion. (b) What are the odds of a white mother having a baby of low birth weight? (c) What are the odds of black mother having a baby of low birth weight? (d) What is the odds ratio for white versus black? (e) Fit a logistic regression of a baby of normal birth weight on race. Treat black as a base group. Write down the tted regression equation. (f) Refer to part (e). What is the odds ratio for white versus black? Is it the same as your calculation in part (d)? Explain why or why not