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. Table 2 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.
QUESTION 4 i -iv
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(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.
Table 2
|
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.
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