Question
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
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= 192
). Use the table to answer the questions which follow.
Gender of Academics | ||||
---|---|---|---|---|
Monthly Underpayment (AUD) | Men | Women | Non-Binary | Total |
$300-750 | 15 | 36 | 40 | 91 |
>$750 | 21 | 34 | 46 | 101 |
Total | 36 | 70 | 86 | 192 |
(1 mark) What is the expected value for the academics who identified themselves as men and are in the $300-750AUD monthly underpayment category? Answer (3dp)
(4 marks) The absolute value of the test statistic is equal to Answer (3dp)
(1 mark) The degrees of freedom is equal to Answer (Integer)
- (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% CI is Answer (3dp)
Lower bound = Answer (3dp)
Upper bound = Answer (3dp)
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