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9 Sep 2020
Recall in our discussion of the binomial distribution the
research study that examined schoolchildren developing nausea and
vomiting following holiday parties. The intent of this study was to
calculate probabilities corresponding to a specified number of
children becoming sick out of a given sample size. Recall also that
the probability, i.e. the binomial parameter "
" defined
as the probability of "success" for any individual, of a randomly
selected schoolchild becoming sick was given.
Suppose you are now in a different reality, in which this
binomial probability parameter
is now unknown to you but
you are still interested in carrying out the original study
described above, though you must first estimate
with a
certain level of confidence. Furthermore, you would also like to
collect data from adults to examine the difference between the
proportion with nausea and vomiting following holiday parties of
schoolchildren and adults, which will reflect any possible age
differences in becoming sick. You obtain research funding to
randomly sample 31 schoolchildren and 45 adults with an inclusion
criterion that a given participant must have recently attended a
holiday party, and conduct a medical evaluation by a certified
pediatrician and general practitioner for the schoolchildren and
adults, respectively. After anxiously awaiting your medical
colleagues to complete their medical assessments, they email you
data contained in the following tables.
Table 1. Schoolchildren
Table 2. Adults
What is the estimated 95% confidence interval (CI) of
the difference in proportions between schoolchildren and adults
developing nausea and vomiting following holiday parties? Assign
groups 1 and 2 to be schoolchildren and adults,
respectively.
Please note the following: 1) in practice, you as the analyst
decide how to assign groups 1 and 2 and subsequently interpret the
results appropriately in the context of the data, though for the
purposes of this exercise the groups are assigned for you; 2) 0 and
1 are defined as no and yes, respectively, which is a typical
coding scheme in Public Health; 3) you might calculate a CI that is
different from any of the multiple choice options listed below due
to rounding differences, therefore select the closest match; and 4)
you may copy and paste the data into Excel to facilitate
analysis.
Select one:
a. -0.4983 to -0.1497
b. -0.5887 to -0.1506
c. -0.6298 to -0.1549
d. -0.5476 to -0.1721
Recall in our discussion of the binomial distribution the
research study that examined schoolchildren developing nausea and
vomiting following holiday parties. The intent of this study was to
calculate probabilities corresponding to a specified number of
children becoming sick out of a given sample size. Recall also that
the probability, i.e. the binomial parameter "
" defined
as the probability of "success" for any individual, of a randomly
selected schoolchild becoming sick was given.
Suppose you are now in a different reality, in which this
binomial probability parameter
is now unknown to you but
you are still interested in carrying out the original study
described above, though you must first estimate
with a
certain level of confidence. Furthermore, you would also like to
collect data from adults to examine the difference between the
proportion with nausea and vomiting following holiday parties of
schoolchildren and adults, which will reflect any possible age
differences in becoming sick. You obtain research funding to
randomly sample 31 schoolchildren and 45 adults with an inclusion
criterion that a given participant must have recently attended a
holiday party, and conduct a medical evaluation by a certified
pediatrician and general practitioner for the schoolchildren and
adults, respectively. After anxiously awaiting your medical
colleagues to complete their medical assessments, they email you
data contained in the following tables.
Table 1. Schoolchildren
Table 2. Adults
What is the estimated 95% confidence interval (CI) of
the difference in proportions between schoolchildren and adults
developing nausea and vomiting following holiday parties? Assign
groups 1 and 2 to be schoolchildren and adults,
respectively.
Please note the following: 1) in practice, you as the analyst
decide how to assign groups 1 and 2 and subsequently interpret the
results appropriately in the context of the data, though for the
purposes of this exercise the groups are assigned for you; 2) 0 and
1 are defined as no and yes, respectively, which is a typical
coding scheme in Public Health; 3) you might calculate a CI that is
different from any of the multiple choice options listed below due
to rounding differences, therefore select the closest match; and 4)
you may copy and paste the data into Excel to facilitate
analysis.
Select one:
a. -0.4983 to -0.1497
b. -0.5887 to -0.1506
c. -0.6298 to -0.1549
d. -0.5476 to -0.1721
11 Mar 2023
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