Table 2 Age Group Knowledge Level Total Poor Satisfactory Good 18 – 25 26 – 34 35 – 44 33 16 13 62 30 18 12 60 29 14 12 55 45 – 54 55 - 75 Total 36 16 18 70 53 17 145 14 22 78 77 300
(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.
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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