1) Data set Donner: The Donner data set has 87 observations and 5 variables. The variables are . Name: Name of individual in the group . Gender: int 1 male and G=female . Age: The age of the people . Survived: categorical variable 1=survived and 0=dead . Family group size: the size of the family. In 1846, a group of 87 people (called the Donner Party) were heading west from Springfield, Illinois, for California. The leaders attempted a new route through the Sierra Nevada and were stranded there throughout the winter. The boyish wather conditions and lack of food resulted in the death of many people within the group. Social scientists have used the data to study the theory that females are better able than men to survive harsh conditions. a) Create a logistic regression model (M1) using Gender to estimate the probability of survival. b. Submit the logistic model $PCY=1|x).$ b) Interpret the model in terms of the odds ratio. Use the Wald statistic to create a 95\\% confidence interval for the odds ratio. c) Test $H_@:\\beta_1=0$ versus $H_a:\\beta_1\ eq@$ using the Wald's test. d) Discuss the overall significance of the model. Clearly define the null and alternative hypothesis and write your conclusion. e) Create another model (M2) using bothe Gender and EgmilyrggpSigg to estimate the probability of survival and sumbit the logistic model. f) Calculate the probability of survival for a male familygrggpsige of 3. 9) Calculate the 95\\% confidence interval for $\\beta_2$. h) Check if there is a statistical significance difference between M1 and M2. Clearly define hypothesis test and make a conclusion. C7 Donner Name Gender Age Survived FamilyGroupSize Antonio 23 O Breen, Edward 13 9 Breen, Isabella 0 1 9 Breen, James 4 g Breen, John 14 9 Breen, Mary 0 40 9 Breen, Patrick 1 40 9 Breen, Patrick, Jr. 11 9 Breen, Peter 7 9 Breen, Simon 9 9 Burger, Charles 30 O Denton, John 28 O 1 Dolan, Patrick 40 O Donner, Elitha 0 14 16 Donner, Eliza 0 3 16