1. A local health clinic sent fliers to its clients to encourage everyone, but especially older persons, to get a flu shot. In a pilot follow-up study, 159 clients were randomly selected and asked whether they actually received a flu shot ('Yes' or 'No'). In addition, data were collected on their age X1, score on a health awareness questionnaire (X2), and gender (M or F). The data is available on the web page http://www.stat.umich.edu/naranjo/stat6620/flushot.txt and may be read using the following SAS code. FILENAME fludat URL "http://www.stat.wmich.edu/naranjo/stat6620/flushot.txt"; DATA one; INFILE fludat; INPUT shot $ age aware gender $; PROC PRINT; Obs shot age aware gender 1 No 59 52 F 2 No 61 55 M 3 Yes 82 51 F 4 No 51 70 F 5 No 53 70 F : : 157 Yes 158 Yes 159 Yes 73 787 76 22 68 22 32 56 MIM F (a) What is the estimated probability that a male client aged 55 with a health awareness score of 60 will receive a flu shot? (b) Given the same age and health awareness score, what is the estimated odds ratio of a male client versus a female client getting a flu shot? (c) Is gender a statistically significant predictor of whether a client will get a flu shot?