The gender pay gap remains a significant problem in Australian academia. The following table shows the monthly underpayment in a random sample of university academics of different gender in Australia (n= 175). Use the table to answer the questions which follow. Gender of Academics Monthly Underpayment (AUD) Men Women Non-Binary Total $300-750 16 19 46 81 >$750 23 31 40 94 Total 39 50 86 175 For each question, either choose the most correct option, or type in the answer to the number of decimal places specified. 1. (1 mark) What proportion of the academics are self-identified as women? (3dp) 2. (1 mark) For academics who are in the >$750AUD category of the monthly underpayment, what proportion of them self-identified as men? (3dp) 3. (1 mark) For academics who identify as non-binary, what proportion of them are in the $300-750AUD category of the monthly underpayment? (3dp)Research Question: "Does the monthly underpayment of academic salaries depend on gender?" A researcher sets up the null and alternative hypotheses to answer the research question Ho : There is no association between the monthly underpayment of academic salaries and gender. Hi : There is an association between the monthly underpayment of academic salaries and gender. 4. (1 mark) What is the expected value for the academics who identified themselves as men and are in the $300-750AUD monthly underpayment category? (3dp) 5. (4 marks) The absolute value of the test statistic is equal to (3dp) 6. (1 mark) The degrees of freedom is equal to (Integer) 7. (1 mark) The p-value is smaller than 0.05 8. (1 mark) We decide that 9. (2 marks) Our conclusion is that A. There is no association between the monthly underpayment of academic salaries and gender. B. There is an association between the monthly underpayment of academic salaries and gender. Another social researcher proposes that career interruptions may explain differences between the salaries of different genders. Therefore, she randomly collects a sample of 48 academics across Australia, 20 of them have had career interruptions. 10. (3 marks) Calculate a 95% confidence interval to estimate the proportion of academics in Australia who have had interruptions during their careers. The Absolute Value of the critical value for this 95% Cl is (3dp) Lower bound = (3dp) Upper bound = 3dp) 11. (2 marks) Traditionally, 35% of academics have experienced career interruptions in Australia. a). (1 mark) The most appropriate test(s) for this research question is A. A one-sample z-test for mean B. A one-sample t-test for mean C. A one-sample z-test for proportion D. A Chisquare goodness of fit test E. A Chisquare goodness of fit test and a one-sample z-test for mean F. A Chisquare goodness of fit test and a one-sample z-test for proportion b). (1 mark) Do you think there has been a shift in the proportion of academics who have experienced career interruptions, based on your answers in Q10? Choose one from the following.Ip value is greater than 0.05, therefore we do not reject the null hypotens jp value is less than 0.05, therefore we reject the null hypotensSince p=0.35 is inside the 95% confidence interval. There is no evidence of a change in the proportion of academics who have had career interruptions in Australia. Since p=0.35 is outside the 95% confidence interval. There seems to be more academics who have had career Interruptions in Australia. Since p=0.35 is outside the 95% confidence interval. There seems to be less academics who have had career interruptions in Australia