Task 1. A cohort study in South Africa is designed to follow children born between April and June 1990 in hopes of identifying risk factors for cardiovascular disease. After 5 years, the children were invited to participate in interviews. Many children did not participate in these interviews, leaving the possibility of biases if inferences were made based on those who participated. Morrell (1999) gave data comparing children who participated to those who did not with respect to whether the mother had medical aid at time of birth. (a) Based on the information in Table 1, use Fisher's exact test to determine if there is evidence of a relationship between medical aid status and participation in interviews, explaining how the probability of the observed table and p-value are computed. No interview Interview Had medical aid 195 46 No medical aid 979 370 Table 1 (b) The study further classified children by their racial group in Tables 2 and 3. Determine if there is evidence of a relationship between medical aid status and participation in interviews for i. white children using Pearson chi-square test, ii. black children using likelihood ratio test, showing how the test statistics and p-values are computed. No interview Interview No interview Interview Had medical aid 104 10 No medical aid 22 2 Had medical aid No medical aid 91 957 36 368 Table 2: White children Table 3: Black children (c) Compare the results obtained in (a) and (b) and explain any differences.
Task 1. A cohort study in South Africa is designed to follow children born between April and June 1990 in hopes of identifying risk factors for cardiovascular disease. After 5 years, the children were invited to participate in interviews. Many children did not participate in these interviews, leaving the possibility of biases if inferences were made based on those who participated. Morrell (1999) gave data comparing children who participated to those who did not with respect to whether the mother had medical aid at time of birth. (a) Based on the information in Table 1, use Fisher's exact test to determine if there is evidence of a relationship between medical aid status and participation in interviews, explaining how the probability of the observed table and p-value are computed. No interview Interview Had medical aid 195 46 No medical aid 979 370 Table 1 (b) The study further classified children by their racial group in Tables 2 and 3. Determine if there is evidence of a relationship between medical aid status and participation in interviews for i. white children using Pearson chi-square test, ii. black children using likelihood ratio test, showing how the test statistics and p-values are computed. No interview Interview No interview Interview Had medical aid 104 10 No medical aid 22 2 Had medical aid No medical aid 91 957 36 368 Table 2: White children Table 3: Black children (c) Compare the results obtained in (a) and (b) and explain any differences.
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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Transcribed Image Text:Task 1. A cohort study in South Africa is designed to follow children born between April
and June 1990 in hopes of identifying risk factors for cardiovascular disease. After 5 years,
the children were invited to participate in interviews. Many children did not participate
in these interviews, leaving the possibility of biases if inferences were made based on those
who participated. Morrell (1999) gave data comparing children who participated to those
who did not with respect to whether the mother had medical aid at time of birth.
(a) Based on the information in Table 1, use Fisher's exact test to determine if there is
evidence of a relationship between medical aid status and participation in interviews,
explaining how the probability of the observed table and p-value are computed.
No interview
Interview
Had medical aid
195
46
No medical aid
979
370
Table 1
(b) The study further classified children by their racial group in Tables 2 and 3. Determine
if there is evidence of a relationship between medical aid status and participation in
interviews for
i. white children using Pearson chi-square test,
ii. black children using likelihood ratio test,
showing how the test statistics and p-values are computed.
No interview
Interview
No interview Interview
Had medical aid
104
10
No medical aid
22
2
Had medical aid
No medical aid
91
957
36
368
Table 2: White children
Table 3: Black children
(c) Compare the results obtained in (a) and (b) and explain any differences.
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