Statistical Methods

X We wanted to know if the composition of the populations of four Canadian provinces is similar with regard to the level of education of people over 30 years of age. A random sample of 50 people over the age of 30 was selected from each of the provinces. The data collected appears in the following table: Distribution of observed frequencies Province No diploma Secondary Baccalaureate Mastery Total Quebec 10 21 9 10 50 Ontario 10 26 8 6 50 Colomble 5 20 13 12 50 Britannique Alberta 7 18 18 7 50 Total 32 85 48 35 200 Does the geographic area (province) have a significant influence on the interest that people over 30 have in studying? To answer this question, you must: a) Formulate your hypotheses H_0 and H_1 b) Calculate the theoretical or expected (Ti) values (frequencies) c) Calculate the Ki-square (X2) d) Calculate the number of degrees of freedom and from the significance level of (5%). determine the Ki-square read using the table. e) Clearly state whether the geographical area (province) has a significant influence on the interest that people over 30 years of age give to studies. f) Comment on specific boxes