Please see the question below. Thank you.

Two hundred participants are enrolled in a study for lung cancer. The study divided the cancer into stage 1 and stage 2. The event time is the cancer-free time (T) in years, which is defined as years from the initial examination to the time that a participant was diagnosed of cancer or died of cancer. All participants are between 50-79 years old and are free of cancer at the initial examination, and then they are followed for 10 years. During the 10-year period, 96 develop or die of cancer. The covariates are Age-Group-I (1 = aged between 50-59, 0 = otherwise), Age-Group-II (1 = aged between 60-69, 0 = otherwise), Sex (1 = male, 0 = female), Smoker (1 = current smoker, 0 = otherwise). The results are shown below: Variable Parameter Estimate Standard Error Age-Group-I -1.356 0.2712 Age-Group-II -0.775 0.2618 Sex 0.719 0.2193 Smoker 0.378 0.2208 a. Estimate the hazard ratio for patients aged 50-59 vs. patients aged 70- 79 and interpret it. b. Estimate and interpret the hazard ratio between patients aged 60-69 and patients aged 50-59