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In: Statistics and Probability

Suppose that we sample 180 diabetic patients between the ages of 50-60 in the United States....

Suppose that we sample 180 diabetic patients between the ages of 50-60 in the United States. 50 of them report being diagnosed with diabetic neuropathy. Nationally, 1 out of 3 diabetics within this age group report neuropathy. What is the appropriate hypothesis test to use if we are interested in determining whether the proportion of diabetics in the sample with neuropathy is significantly different from the proportion of diabetics with neuropathy in the entire population?

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Expert Solution

Nationally, 1 out of 3 diabetics within this age group report neuropathy

=

we are interested in determining whether the proportion of diabetics in the sample with neuropathy is significantly different from the proportion of diabetics with neuropathy in the entire population

In this case

sample proportion p = 50/180 = 0.2778

We need to determine if the proportion of diabetics in the sample is significantly different from the proportion of diabetics with neuropathy in the entire population

Null hypothesis: the proportion of diabetics in the sample is same as the proportion of diabetics with neuropathy in the entire population

Alternate hypothesis: the proportion of diabetics in the sample is different than the proportion of diabetics with neuropathy in the entire population

The test used should be Z test

orchestra answered 2 years ago
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