Diversity can be an influential contributor to improved performance and profitability for Australian businesses. Currently, 50% (po= 0.5) of Australian workers identify with more than one cultural background. 26 Australians randomly selected at work and were asked: "How would you describe your cultural background?" 11 of them selected more than one option from a list of Australia's most common cultural/ethnic groups. The researcher is interested in: "Is the proportion of Australian workers who feel they belong to more than one cultural/ethnic group equal the given population proportion (hypothesised) value?" Answer the following questions by choosing a correct option or typing the answer to the number of decimal places specified. 1. (1 mark) Let X represents the number of Australian workers who identify with more than one cultural/ethnic group, what is the sampling distribution for X? 2. (1 marks) The most appropriate test for these data is: A one-sample t-test 3. (2 marks) The absolute value of the test statistic is equal to: 4. (1 mark) The p-value is larger than 0.05: (3dp) 5. (2 marks) The test shows that the proportion of Australian workers who feel they belong to more than one cultural/ethnic group was: 6. (2 marks) We are 95% confident that the population proportion of Australian workers who feel they belong to more than one cultural/ethnic group is between (upper limit) each month. Type your answers (lower limit) and with 3dp. Copyright Macquarie University. Copying or distribution of part or all of the contents in any form is prohibited.