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Assignment: 8-1 MyStatLab: Module Eight Homework 1

Assignment: 8-1 MyStatLab: Module Eight Homework 1

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ssignment: 8-1 MyStatLab: ModuleEight Homework 1. A subtle form of racial discrimination in housing is "racial steering." Racial steering occurs when real estate agents showprospective buyers only homes in neighborhoods already dominated by that family's race. Tenants at a large apartmentcomplex recently filed a lawsuit alleging racial steering. The plaintiffs claimed that white potential renters were steered toSection A, while African-American renters were steered to Section B. The accompanying table displays the data that werepresented in court to show the locations of recently rented apartments. Do you think there is evidence of racial steering?1 Click the icon to view the data table showing locations of recently rented apartments. State the null and alternative hypotheses. Choose the correct answer below.A. H0 : More whites rent in section A.HA : More African-Americans rent in section B.B. H0 : There is no association between race and the section of the apartment complex.HA : There is an association between race and the section of the apartment complex.C. H0 : More African-Americans rent in section A.HA : More whites rent in section B.D. H0 : There is an association between race and the section of the apartment complex.HA : There is no association between race and the section of the apartment complex.Find the χ2 statistic. χ2 = (Round to three decimal places as needed.) Find the P-value.P-value = (Round to four decimal places as needed.) State your conclusion at the significance level α = 0.05.(1) H0 . There is (2) evidence to conclude that there is an association between race and the section of the apartment complex in which people live. 1: Data TableData table showing locations of recently rented apartmentsWhite African-American Total Section A 84 10 94 Section B 78 23 101 Total 162 33 195 (1) RejectFail to reject 1 of 6 (2) insufficientsufficient 12/17/16, 12:50 PM 8-1 MyStatLab: Module Eight Homework-Johnathan Gulston https://xlitemprod.pearsoncmg.com/api/v1/print/math 2. Newspaper headlines at the time and traditional wisdom in the succeeding decadeshave held that women and children escaped a sunken ship in greater proportion thanmen. Here's a table with the relevant data. Do you think that survival was independentof whether the person was male or female? Defend your conclusion. AliveDeadTotal Female Male40829010813765161666 Total69814842182 Is there evidence of a significant difference between the proportion of males and females who survived at the 0.025 level ofsignificance? What are the null and alternative hypotheses to test?A. H0 : There is no associations between survival and gender on the ship.HA : Survival was dependent on gender on the ship.B. H0 : Survival was dependent on gender on the ship.HA : There is no association between survival and gender on the ship.C. H0 : There is an association between survival and gender on the ship.HA : Survival was independent of gender on the ship.D. H0 : Survival was independent of gender on the ship.HA : There is an association between survival and gender on the ship.Are the conditions for inference satisfied?A. Yes, because the data are in counts, the data in groups are dependent on each other, and thegroups are sufficiently large.B. No, because the data are not in counts, the data in groups are independent, and there is at leastone group that has less than 5 observations.C. Yes, because the data are counts, the data in groups are independent, and the groups have atleast 5 observations.D. No, because the data are in counts, the data in the groups are dependent on each other, and thegroups have at least 5 observations.Calculate the test statistic. χ2 = (Round to two decimal places as needed.) Determine the p-value and interpret its meaning.The p-value is . (Round to three decimal places as needed.) Interpret the p-value. Choose the correct answer below.A. Fail to reject the null hypothesis and conclude there is weak evidence of an association betweensurvival and gender on the ship. Both genders were equally likely to survive.B. Reject the null hypothesis and conclude there is weak evidence of an association betweensurvival and gender on the ship. Both genders were equally likely to survive

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