7. [1 mark] The pvalue is smaller than 0.05 c 0 8. [1 mark] We decide that 0 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, s/he randomly collects a sample of 37 academics across Australia, 15 of them have had career interruptions. 10. [3 marks] Calculate a 95% condence 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] 1'1. [2 marks] Traditionally. 45.5% of academics have experienced career interruptions in Australia. a}. (1 mark] The most appropriate test(s] for this research question is 0 A. A onesample ztest for mean B. A onesample ttest for mean C. A onesample ztest for proportion D. A Chisquare goodness of t test E. A Chisquare goodness of fit test and a onesample ztest for mean F. A Chisquare goodness of fit test and a onesample ztest 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. 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= 194}. Use the table to answer the questions which follow. Gender of Academics Monthlyr Underpayment (AUD) Men Women Non-Binary Total $300750 12 31 50 93 >$?50 23 30 48 101 Total 35 61 98 194 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? (3d p) 2. [1 mark} For academics who are in the >$750AUD category of the monthly underpayment, what proportion of them selfidentied as men? (3de 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. H1 : 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 $300750AUD 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) (1 mark) We decide that (2 marks) Our conclusion p value is greater than 0.05, therefore we do not reject the null hypotens ere is no association betv p value is less than 0.05, therefore we reject the null hypotens ere is an association betw her social researcher proposes that career interruptions may explain differences between the salaries of different genders