The researcher is concerned that older persons may not be knowledgeable of the pandemic outbreak. As such, she 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 Category POOR SATISFACTORY GOOD TOTAL 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. (b) State the hypotheses to be tested: H0: H1:(b)Calculate/ state the degrees of freedom for this test (c)the p-value for this test, given that the chi-square test statistic, x^2, is 11.029 (d) ) state the conclusion for the test. Give reason for your answer.
The researcher is concerned that older persons may not be knowledgeable of the pandemic outbreak. As such, she 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 Category POOR SATISFACTORY GOOD TOTAL 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. (b) State the hypotheses to be tested: H0: H1:(b)Calculate/ state the degrees of freedom for this test (c)the p-value for this test, given that the chi-square test statistic, x^2, is 11.029 (d) ) state the conclusion for the test. Give reason for your answer.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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The researcher is concerned that older persons may not be knowledgeable of the pandemic outbreak. As such, she 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 Category | POOR | SATISFACTORY | GOOD | TOTAL |
| 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.
(b) State the hypotheses to be tested:
H0:
H1:
(b)Calculate/ state the degrees of freedom for this test
(c)the p-value for this test, given that the chi-square test statistic, x^2, is 11.029
(d) ) state the conclusion for the test. Give reason for your answer.
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