(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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(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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