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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 your answers to three decimal places, if necessary. White Hispanic Black Race Asian/Pacific Islander Proportion 0.426 0.26 0.024 0.29 Expected cases 0000

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 your answers to three decimal places, if necessary. White Hispanic Black Race Asian/Pacific Islander Proportion 0.426 0.26 0.024 0.29 Expected cases 0000

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander TOTAL Race White Black 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. Hispanic Cases Choose the correct null and alternative hypotheses: O Ho: 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. Race TOTAL 22 O Ho : The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Asian/Pacific Islander 14 7 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 your answers to three decimal places, if necessary. What is the test statistic? 6 49 Proportion Expected cases 0.426 0.26 0.024 0.29 Part 2 of 4 1
Transcribed Image Text:A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander TOTAL Race White Black 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. Hispanic Cases Choose the correct null and alternative hypotheses: O Ho: 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. Race TOTAL 22 O Ho : The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Asian/Pacific Islander 14 7 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 your answers to three decimal places, if necessary. What is the test statistic? 6 49 Proportion Expected cases 0.426 0.26 0.024 0.29 Part 2 of 4 1
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A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander TOTAL Race White Hispanic Black 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. Cases Choose the correct null and alternative hypotheses: O Ho: 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. TOTAL 22 Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha : The distribution of AIDS cases is different from the race distribution in Santa Clara County. Race Asian/Pacific Islander 14 ▼ Part 2 of 4 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 your answers to three decimal places, if necessary. 7 What is the test statistic? 33.771 6 49 Proportion 0.426 0.26 0.024 0.29 1 Expected cases 20.874 12.740 1.176 14.210 49 Using your answer from the previous question, find the p-value. 0.000 ▼ Part 3 of 4 Part 4 of 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 Black people with AIDS is 4.952 times more han expected, and the number of Asians/Pacific Islanders with AIDS is 1.368 times less than expected. O 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.
Transcribed Image Text:A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander TOTAL Race White Hispanic Black 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. Cases Choose the correct null and alternative hypotheses: O Ho: 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. TOTAL 22 Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha : The distribution of AIDS cases is different from the race distribution in Santa Clara County. Race Asian/Pacific Islander 14 ▼ Part 2 of 4 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 your answers to three decimal places, if necessary. 7 What is the test statistic? 33.771 6 49 Proportion 0.426 0.26 0.024 0.29 1 Expected cases 20.874 12.740 1.176 14.210 49 Using your answer from the previous question, find the p-value. 0.000 ▼ Part 3 of 4 Part 4 of 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 Black people with AIDS is 4.952 times more han expected, and the number of Asians/Pacific Islanders with AIDS is 1.368 times less than expected. O 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.
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