Suppose that five studies were conducted on the same exposure-disease relationship. Assumethat there is no bias and confounding in these studies. The following results were seen:95% CIp-valueRelative RiskSample SizeStudy0.8-4.2O.102.0100A0.9-3.3O.062.0500B2.6-4.5O.023.510002.2-3.5O.0153.020002.8-3.6O.0013.22500EDescribe the relationship between sample size and confidence interval width:There is no association between sample size and width of the corresponding confidence intervalThe smaller the sample size; the smaller the confidence interval widthThe larger the sample size; the smaller the confidence interval widthThe larger the sample size; the larger the confidence interval width

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Asked Nov 7, 2019

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Suppose that five studies were conducted on the same exposure-disease relationship. Assume
that there is no bias and confounding in these studies. The following results were seen:
95% CI
p-value
Relative Risk
Sample Size
Study
0.8-4.2
O.10
2.0
100
A
0.9-3.3
O.06
2.0
500
B
2.6-4.5
O.02
3.5
1000
2.2-3.5
O.015
3.0
2000
2.8-3.6
O.001
3.2
2500
E
Describe the relationship between sample size and confidence interval width:
There is no association between sample size and width of the corresponding confidence interval
The smaller the sample size; the smaller the confidence interval width
The larger the sample size; the smaller the confidence interval width
The larger the sample size; the larger the confidence interval width
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Suppose that five studies were conducted on the same exposure-disease relationship. Assume that there is no bias and confounding in these studies. The following results were seen: 95% CI p-value Relative Risk Sample Size Study 0.8-4.2 O.10 2.0 100 A 0.9-3.3 O.06 2.0 500 B 2.6-4.5 O.02 3.5 1000 2.2-3.5 O.015 3.0 2000 2.8-3.6 O.001 3.2 2500 E Describe the relationship between sample size and confidence interval width: There is no association between sample size and width of the corresponding confidence interval The smaller the sample size; the smaller the confidence interval width The larger the sample size; the smaller the confidence interval width The larger the sample size; the larger the confidence interval width

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Expert Answer

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Step 1

For sample size 100,

 

The 95% confidence interval is 0.8-4.2.

The width of the confidence interval is 4.2-0.8=3.4.

 

For sample size 500,

 

The 95% confidence interval is 0.9-3.3.

The width of the confidence interval is 3.3-0.9=2.4.

 

For sample size 1000,

 

The 95% confidence interval is 2.6-4.5.

The width of the confidence interval is 4.5-2.6=1.9.

 

For s...

Sample size Width
100
3.4
500
2.4
1000
1.9
2000
1.3
2500
0.8
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Sample size Width 100 3.4 500 2.4 1000 1.9 2000 1.3 2500 0.8

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