please answer this question and explain

1. A logistic regression model was t, where Y = 0 indicates the subject does not smoke, and Y = 1 indicates they subject did smoke. The explanatory variable was X 2 smoking status of parents (Yes if at least one parent smoked, No if no parents smoked). The estimated regres sion model is: log (1 7T ) = 1.8266 + 0.4592221 where 231 is an indicator function for smoking Yes. Further, SE([31) = 0.08782. (a) Test if H0 : 51 = 0, and list the teststatistic, pvalue, and conclusion (b) Interpret the pvalue in terms of the problem. (c) Find the 99% condence interval for eXp(/31). (d) Interpret the interval in terms of the