For this question I used Goodness of Fit test.
The cumulative number of AIDS cases reported for Santa Clara County through December 31, 2003, is broken down by ethnicity as follows:
Ethnicity
Number of Cases
Whitev2032
Hispanic 897
African-American 372
Asian, Pacific Islander 168
Native American 20
The expected values are the following:
1667.39
842.59
123.86
844.69
10.12
Ho: the make-up of AIDS cases DOES follow the ethnicity of the general population of Santa Clara County
Ha: the make-up of AIDS cases DOES NOT follow the ethnicity of the general population of Santa Clara County
Is this a right-tailed, left-tailed, or two-tailed test? The test is right tailed.
degrees of freedom = 4
Chi2 test statistic = 1132.0001
p-value = <0.0001
Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.
Let = 0.05
Decision: Since the P-value (<0.0001) is less than the significance level (0.05), we cannot accept the null hypothesis.
Reason for the Decision: the p-value is smaller than the alpha.
Conclusion (write out in a complete sentence): We cannot accept the null hypothesis because the p-value is smaller than the alpha.
Discussion question
8. Does it appear that the pattern of AIDS cases in Santa Clara County corresponds to the distribution of ethnic groups in this county? Why or why not?