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# exam - the South plays a role in the standardized residual...

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1 Question 4: Table x shows the expected values of the number of individuals with heart disease when taking into account the population proportion of a region compared to the population of the United States. Chi-squared is 4.28, and the degrees of freedom is three. The P-value associated with the chi-squared value P(χ 2 >4.28) is greater than 0.90. If the number of individuals with heart disease is distributed uniformly, then an observed chi-squared value of 4.28 or greater would occur greater than 90 percent of the time. The analysis fails to reject the null hypothesis, so the data shows virtually no signs of nonuniform distribution of heart diseases among regions. Table 5 shows the standardized residuals, which suggests that, compared to the population of individuals studied at heart clinics around the country, the number of heart diseases in the South and West region of the United States are fewer than expected. The large number of expected cases of heart disease in
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Unformatted text preview: the South plays a role in the standardized residual of -1.31 for that region. The mild weather experienced in both the South and the West region may have some bearings on the negative residual values. The data has counts of the number of cases of heart disease in the different regions, meeting the Counted Data Condition. The heart disease diagnoses of an individual should be independent of each other, satisfying the Independence Assumption. The Randomization Condition is not satisfied because the individuals in the study are not randomly selected, and the individuals in the study may have a precondition of having heart disease. The null hypothesis expects all of the number of expected diagnosed cases in different regions to be greater than 5, so the Expected Cell Frequency Condition is satisfied....
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