Women are underrepresented in key decision-making roles across almost all industries in the Australian workforce. Women make up half of the employees in the 2019-20 Women Gender Equality Agency (WGEA) dataset (50.5%). Based on a randomly selected sample of 160 employees, 52 directors are women. Assuming we can make a normal approximation to Binomial distribution (Hint: check that conditions are satisfied). 1. (1 mark) What is a point estimate for the proportion of women directors across all industries in the Australian workforce? (3d p) 2. (2 mark) Calculate a 95% confidence interval to estimate the proportion of women directors across all industries in the Australian workforce. Lower bound = (3dp) Upper bound = (3dp) 3. (1 mark) It is believed that 35% of directors are women. How would you interpret this statement on this random sample of 160 employees? Choose one from the following. Jl Since p=0.35 is inside the 95% confidence interval. There is no evidence of a change in the progress towards Since p=0.35 is outside the 95% confidence interval. There seems to be a positive change towards gender Since p=0.35 is outside the 95% confidence interval. There seems to be a negative change towards gender Cop