Age Group Knowledge Level Total Poor Satisfactory Good 18-25 26-34 35-44 45-54 55- 75 33 16 13 30 18 12 29 14 12 36 16 18 17 14 22 62 60 55 70 53 Total 145 78 77 300 Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence 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, X², is 11.029.(iv) state the conclusion for the test. Give reason for your answer.
|
Age Group
|
Knowledge Level |
Total |
|
|
Poor Satisfactory Good |
|
|
18-25 26-34 35-44 45-54 55- 75 |
33 16 13 30 18 12 29 14 12 36 16 18 17 14 22 |
62 60 55 70 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, X², is 11.029.
(iv) state the conclusion for the test. Give reason for your answer.
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