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The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases White There have been 2809 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. Black/African-American Asian, Pacific Islander Hispanic 45.3% 24.4% 14% 16.3% 1249 676 417 467 Y Part 1 of 4 Perform a goodness-of-fit test with a 7% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses.

The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases White There have been 2809 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. Black/African-American Asian, Pacific Islander Hispanic 45.3% 24.4% 14% 16.3% 1249 676 417 467 Y Part 1 of 4 Perform a goodness-of-fit test with a 7% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 82E
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The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases There have been 2809 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population Ethnicity Perform a goodness-of-fit test with a 7% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses. Ho: The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general. ✔ H₂: The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ▾ Part 2 of 4 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a chi-square ✓degrees of freedom. 3 White Observed and Expected Values Black/African-American Asian, Pacific Islander Hispanic 1249 676 417 467 Now find the p-value. P(X²EV Question Help: D Post to forum Submit Part 1249 Observed Values (O) Expected Values (E) ✓ 676 45.3% 24.4% 14% 16.3% 417 467 ✓ Part 1 of 4 ✓ ✓ ✓✓distribution with Part 3 of 4
Transcribed Image Text:The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases There have been 2809 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population Ethnicity Perform a goodness-of-fit test with a 7% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses. Ho: The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general. ✔ H₂: The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ▾ Part 2 of 4 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a chi-square ✓degrees of freedom. 3 White Observed and Expected Values Black/African-American Asian, Pacific Islander Hispanic 1249 676 417 467 Now find the p-value. P(X²EV Question Help: D Post to forum Submit Part 1249 Observed Values (O) Expected Values (E) ✓ 676 45.3% 24.4% 14% 16.3% 417 467 ✓ Part 1 of 4 ✓ ✓ ✓✓distribution with Part 3 of 4
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