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wrote...
Posts: 216
2 weeks ago
Could eye color be a warning signal for hearing loss in patients suffering from meningitis? British researcher Helen Cullington recorded the eye color of 130 deaf patients, and noted whether the patient's deafness had developed following treatment for meningitis. Her data are summarized in the table below. Test an appropriate hypothesis and state your conclusion.

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Stats: Modeling the World


Edition: 4th
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wrote...
Posts: 277
2 weeks ago
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H0: Deafness and eye color are independent.
HA: There is an association between deafness and eye color.
These are counts of categorical data, assumed to be representative of deaf patients in Britain, with expected counts (25.1, 76.9, 6.9, and 21.1) all at least 5.  OK to do a χ2 test for independence, with

χ2 = = + + + = 5.87
P = 0.015

Since P = 0.015 is low, I reject the null hypothesis. There is strong evidence that hearing loss is associated with eye color. It appears that people with dark-colored eyes are at less risk of suffering deafness from meningitis.
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