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. 29 Australians randomly selected at work and were asked: "How would you describe your cultural background?" 14 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: 3. (2 marks) The absolute value of the test statistic is equal to: (3dp) 4. (1 mark) The p-value is larger than 0.05: 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 (lower limit) and (upper limit) each month. Type your answers with 3dp