statistics

5. The Ministry of Manpower conducts a survey to determine the proportion of workforce that has joined Union in their workplace. Data are collected and tabulated in the table below: Union Member Yes No Total Male 509 2488 2997 Female 295 3137 3432 Total 804 5625 6429 Find the 95% confidence interval estimate of the proportion of Union Member that is Female. IL State the assumptions that need to hold in order for you to carry out a test if there is a difference in proportions of males and females that is an Union Member, Show your working ILL. Using Hypothesis testing, find out if there is a difference in proportions of males and females that is an Union Member. IV. Find the 95% confidence interval for the difference in proportion of males and females that is an Union Member. Does it agreed with the Hypothesis testing result? What you further conclude from the 95% confidence interval besides if there is a difference in proportions