Please help with the question in the image attached below:
2. (No R needed) A health clinic sent fliers to its clients to encourage everyone to get a flu shot. In a follow-up study, 159 elderly clients were randomly selected and asked if they received a flu shot. A client who received a flu shot was coded y = 1, and a client who did not receive a flu shot was coded y = 0. Data were also collected on their age, x1, health awareness rating on a 0-100 scale (higher values indicate greater awareness), x2, and gender, 23, where males were coded x3 = 1 and females were coded x3 = 0. A first order logistic regression model was fitted and the output is displayed below. Coefficients : Estimate Std. Error z value Pr(> Izl) (Intercept) -1. 17716 2. 98242 -0.395 0. 69307 age 0. 07279 0. 03038 2.396 0. 01658 * aware -0. 09899 0. 03348 -2.957 0 . 00311 * * gender 0. 43397 0. 52179 Null deviance: 134.94 on 158 degrees of freedom Residual deviance: 105. 09 on 155 degrees of freedom (a) Interpret the estimated coefficient for x3, gender, in context. (b) Conduct the Wald test for B3. State the null and alternative hypotheses, calculate the test statistic, and make a conclusion in context at 5% significance level. (c) Calculate a 95% confidence interval for 83. d) Comment on whether your conclusions from parts 2b and 2c are consistent. (e) Suppose you want to drop the coefficients for age and gender, B, and 83. A logistic regression model for just awareness was fitted, and the output is shown below. Coefficients: Estimate Std. Error z value Pr(> |z|) (Intercept) 4.91133 1. 62651 3.02 0. 00253 ** aware -0. 11931 0. 03013 -3.96 7.5e-05 *** Null deviance: 134.94 on 158 degrees of freedom Residual deviance: 113.20 on 157 degrees of freedom Carry out an appropriate hypothesis test to see if the coefficients for age and gender can be dropped at 5% significance level