Question

QUESTION 4

(a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group.

Age Group		Knowledge Level		Total
	Poor	Satisfactory	Good
18-25	33	16	13	62
26-34	30	18	12	60
35-44	29	14	12	55
45-54	36	16	18	70
55-75	17	14	22	53
Total	145	78	77	300

Conduct a test, at the 5% level of significance, to determine whether the data provided sufficient evidence to conclude that an association exists between age group and knowledge level.

(i) State the hypotheses to be tested:

H0:

H1:   

(Calculate:

(ii) state the degrees of freedom for this test   

(iii) the p-value for this test, given that the chi-square test statistic, c2, is 11.029.

(iv) state the conclusion for the test. Give reason for your answer.

(b) Finally, the researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores.

P = α + β K + δ A

where P = Practice towards COFLU-20 score

K = Knowledge towards COFLU-20 score

A = Attitude towards COFLU-20 score

The data are processed using MINITAB and the output in Exhibit 1 below was obtained:

Exhibit 1

The regression equation is *************

Predictor	Coef	SE	T-Ratio	P
Constant	4.755	0.462	10.282	0
Knowledge	0.8	0.039	2.055	0.041
Attitude	0.024	0.6	0.393	0.695

R-sq = 81.5%

Analysis of Variance

SOURCE	DF	SS	MS	F	P
Regression	2	38.06	19.03	2.284	0.104
Error	297	2474.887	8.333
Total	299	2512.947

(i) Identify the dependent variable(s) and the independent variable(s).

(ii) Is δ significant?   

Show proof of the testing process used to arrive at your decision.

State what this means in terms of attitude and practices.  

(iii) What does the value of R-sq indicate? Comment on the value of R-sq.