The number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. Source: "HIV AIDS Epidemiology Santa Clara County", Santa Clara County Public Health Department, May 2011. Race Cases White 2144 Hispanic 1174 Black Asian Pacific Islander Total 4008 Directions: Conduct a chi-square test for goodness of fit to determine whether or not the occurrence of AIDS cases its consistent with the race distribution of Santa Clara County. 1. Choose the correct null and alternative hypotheses. O Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. He: The distribution of AIDS cases is different from the race distribution in Santa Clara County. O H, : The distribution of AIDS cases is different from the race distribution in Santa Clara County. #: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. 2. Compute the test statistic. The population distribution of Santa Clara County by race is provided In the table below. Use these percentages to compute the expected number of cases for each racial group. Round cach of the expected counts to 2 decimal places. Proportion Expected cases White 0.424 Hispanic 0.274 Black 0.024 Asian/Pacific Islander 0.278 Total Determine the value of the test statistic. Round your answer to f decimal place. r 3. Compute the p-value. Round your answer to 4 decimal places. P-value - 4. Interpret the results of the significance test. The differences between the distribution of AIDS cases and the distribution of the general population in Santa Clara County is statistically significant. The differences are also important from a practical perspective. For example, the number of blacks with AIDS Is times more than expected and the number of Aslan/Pacific Islanders with AIDS Is times less than expected. The differences between the distribution of AIDS cases and the distribution of the general population in Santa Clara County are not statistically significant. From a practical perspective, the differences are minor