Ioccurrence of presenile dementia and a family history of de
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A case-control study of presenile dementia identified 176 clinically diagnosed patients aged below 65 years from hospital records. Each case was individually paired with a community-sampled control of the same sex and age. Steps were taken to ascertain that each of the controls did not suffer from dementia. One of the risk factors explored in this study was family history of dementia. We wish to determine whether there is an association between occurrence of presenile dementia and a family history of dementia.
a). What are the null and alternative hypotheses?
b) Perform an appropriate statistical procedure to test these hypotheses using a type I error level of 0.01.
c) Provide a brief interpretation of your results.
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Solution Summary
Occurrence of presenile dementia and a family history of dementia is examined.
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A case-control study of presenile dementia identified 176 clinically diagnosed patients aged below 65 years from hospital records. Each case was individually paired with a community-sampled control of the same sex and age. Steps were taken to ascertain that each of the controls did not suffer from dementia. One of the risk factors explored in this study was family history of dementia. We wish to determine whether there is an association between occurrence of presenile dementia and a family history of dementia.
The results of this study are summarized in the table below:
Family history of dementia in cases Family history of dementia in controls
Present Absent
Present 30 55
Absent 25 66
Answers
a). What are the null and alternative hypotheses?
The null hypothesis tested is
H0: There is no association between occurrence of presenile dementia and a family history of dementia.
The alternative hypothesis is
H1: There is an association between occurrence of presenile dementia and a family history of dementia.
b) Perform an appropriate statistical procedure to test these hypotheses using a type I error level of ...
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