Answer Happy

Q4. (a) Explain in detail the main characteristics of a Chi-Square probability distribution, and support your answer by providing a typical diagram. (b) Provide at least one typical example and describe the application of Chi-Square distribution in the concept of statistical analysis. (c) A fashion retaiior claims that demand for different colour of their children winter coats are equally divided between blue, yellow, black, and red. A researcher would like to test this claim and selects a random sample of children to analyse their colour preference. The results were entered into SPSS software and following data tables were generated: Question 4 is continued on the next page/... Table 4.1- Preferred colour distribution Observed N Expected N Residual Blue 17 15 0 20 Yellow 12 15.0 -3.0 Black 9 15.0 -6.0 Red 22 15.0 7.0 Total 60 Table 4.2 - Test Statistics Colour choice Chi-Square 6.533 df Asymp. Sig. 088 Answer the following questions: Interpret and discuss the output data in both SPSS tables 4.1 and 4.2 above ) Write Null and Alternative hypotheses for the researcher's test. (m) Determine the Critical value by using Chi Square statistical table at the significance levels of . d. = 0.10 • Q2 = 0.05 (iv) Compare test statistic with critical values obtained in section C-m) above and explain whether you reject the null hypothesis at the given significance levels.