Statistics

Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped a sunken ship in greater proportion than men. Here's a table with the relevant data. Do you think that survival was Female Male Total independent of whether the person was male or female? Defend your conclusion. Alive 355 330 685 Dead 134 1347 1481 Total 489 1677 2166 Is there evidence of a significant difference between the proportion of males and females who survived at the 0.05 level of significance? What are the null and alternative hypotheses to test? O A. Ho: There is an association between survival and gender on the ship HA: Survival was independent of gender on the ship. O B. Ho: There is no associations between survival and gender on the ship. HA: Survival was dependent on gender on the ship. O C. Ho: Survival was dependent on gender on the ship HA: There is no association between survival and gender on the ship. D. Ho: 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 counts, the data in groups are independent, and the groups have at least 5 observations O B. Yes, because the data are in counts, the data in groups are dependent on each other, and the groups are sufficiently large. C. No, because the data are not in counts, the data in groups are independent, and there is at least one group that has less than 5 observations. O D. No, because the data are in counts, the data in the groups are dependent on each other, and the groups have at least 5 observations. Calculate the test statistic. x2 = (Round to two decimal places as needed.)