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 2290 Hispanic 1109 Black 478 Asian/Pacific Islander 235 Total 4112 Directions: Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. 1. Choose the correct null and alternative hypotheses. O Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. H.: 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. Ha: 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 each of the expected counts to 2 decimal places. Race Proportion Expected cases White 0.423 Hispanic 0.253 Black 0.026 Asian/Pacific Islander 0.298 Total 1 Determine the value of the test statistic. Round your answer to 1 decimal place. 3. Compute the p-value. Round your answer to 4 decimal places. p-value = 4. Interpret the results of the significance test. O The differences between the distribution of AlIDS cases and the distribution of the general population in Santa Clara County are not statistically significant. From a practical perspective, the differences are minor. O The differences between the distribution of AlIDS 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 Asian/Pacific Islanders with AIDS is times less than expected.

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 2290 Hispanic 1109 Black 478 Asian/Pacific Islander 235 Total 4112 Directions: Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. 1. Choose the correct null and alternative hypotheses. O Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. H.: 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. Ha: 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 each of the expected counts to 2 decimal places. Race Proportion Expected cases White 0.423 Hispanic 0.253 Black 0.026 Asian/Pacific Islander 0.298 Total 1 Determine the value of the test statistic. Round your answer to 1 decimal place. 3. Compute the p-value. Round your answer to 4 decimal places. p-value = 4. Interpret the results of the significance test. O The differences between the distribution of AlIDS cases and the distribution of the general population in Santa Clara County are not statistically significant. From a practical perspective, the differences are minor. O The differences between the distribution of AlIDS 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 Asian/Pacific Islanders with AIDS is times less than expected.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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