Health insurance has been identified as an effective tool for removing barriers to healthcare utilisation, especially in developing countries. However, many factors such as education, wealth or income, age, religion, health status and sex can influence individual's decision to enrol or not to enrol onto health insurance. The National Insurance Commission (NIC) of Ghana aims to evaluate health insurance policy subscription among individuals in a typical rural district of the country (Biakoye). The distributions of individuals in all the five communities of the district are as follows: Ahenkro 12,800; Bumbula 3,200; Wurupong 6,400; Appiakrom 3,200 and Ntumda 6,400. You have been contracted to work on this project. The aim of this project is to ascertain the association between religious denominations and health insurance enrolment decisions.

a. Choose and describe appropriate sampling technique(s) to be adopted in selecting a representative sample of 24,000 individuals for the study? [5 marks]

b. By analyzing the data using Chi Square Test, you obtained the results in the four tables below. Study the results carefully and answer the questions that follow.

Table 1: Case Processing Summary Valid Missing N Percent N Percent Percent Health Insurance status " religion 231 10 231 18 100 04 Table 3: Crosstabulation of health insurance status and Religious denomination Health insurance status Religion denomination Insured Uninred Total No religion Count 561 1056 Orthodox Christians Count 3738 1682 $420 31.0% Pentecostal charismatic Count 6647 4297 Christians Count 3493 4657 75 0% 25.0 100.0 African Traditionalis Count 577 436 1013 STON. Count 15016 23110Table 3: Chi-Square Toula Pennon Chu-Squat 421.649 428 635 Linearby.Linear 27.685 Association Not Valid China 241 10 a. 0 cells (0 0%) have expected count less than 3. The minimum expected count is 353.91. Table 4: Symmetric Memore Value Approximate Significance Nominal by Nominal Phi 135 Cramer's V .135 Not Valid Circa i Determine the total sample size wind for the test and calculate the response rate |3 marks] Determine the proportion of Orthodox Christians that got imured. [ marky] in State any two requirements for using chi-square test [2 marks] iv. State appropriate hypotheses for the study. 13 marks] v. What is the valen of the chi-square best statistics [1 mark] vi. From the chi-square test performed, what decision and conclusion can you make regarding religious denominations and health insurance status jusing a level of significance of 514)7 15 marky] TOTAL (20 MARKS)