Can gender, educational level, and age predict the odds that someone votes for a particular candidate in the election? Over 1500 voters were selected, and data were col-lected on the highest year of...

1. Can gender, educational level, and age predict the odds that someone votes for a particular candidate in the election? Over 1500 voters were selected, and data were col-lected on the highest year of school completed, their age, and their gender. We wish to t a logistic regression model: log(₁
   ^p
   _p
   ) =
   ₀
   +
   ₁Age +
   ₂Education +
   ₃Gender, where p is the binomial probability that a person voted for candidate Johnson, and gender is coded as the indicator for female. The R output is given below.

Null deviance: 255.95 on 1499 degrees of freedom

Residual deviance: 220.80 on 1496 degrees of freedom

• Write down the tted logistic regression and give a short summary about the data analysis .

• Calculate the probability of voting for Johnson for a 35-year-old male with 16 years of school?

• Find the odds ratio of voting for Johnson between female and male while controlling age and education and interpret the odds ratio.

• Find the 95% confidence interval for the odds ratio of voting for Johnson between female and male .

• The researcher tted another model with Gender as the only predictor and get the result below. Test whether the two nonsigni cant terms (Age and Education) can be both removed from the model in (a), write down the H0, Ha, test statistic, p-value and conclusion:

Null deviance: 255.95 on 1499 degrees of freedom

Residual deviance: 227.39 on 1498 degrees of freedom