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 Female Male Total data. Do you think that survival was independent of whether the person was male or female? Defend your conclusion. Alive 367 279 646 Dead 124 1368 1492 Total 491 1647 2138 Is there evidence of a significant difference between the proportion of males and females who survived at the 0.025 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. O 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 in counts, the data in groups are dependent on each other, and the groups are sufficiently large. O B. 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 C. Yes, because the data are counts, the data in groups are independent, and the groups have at least 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.) 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 Raiart the null hunnthecic and conclude there is weak evidence of an accoriation hatwoon clinival and nondar on the chin Roth nandare ware annually likely to clinivaNewspaper 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 lata. Do you think that survival was independent of whether the person was male or female? Defend your conclusion. . . . . . HA: Survival was dependent on gender on the ship. C. Ho: Survival was dependent on gender on the ship. HA: There is no association between survival and gender on the ship. O 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 in counts, the data in groups are dependent on each other, and the groups are sufficiently large. B. 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 C. Yes, because the data are counts, the data in groups are independent, and the groups have at least 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. (2 = (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. Reject the null hypothesis and conclude there is weak evidence of an association between survival and gender on the ship. Both genders were equally likely to survive. O B. Fail to reject the null hypothesis and conclude there is weak evidence of an association between survival and gender on the ship. Both genders were equally likely to survive. O C. Fail to reject the null hypothesis and conclude there is strong evidence of an association between survival and gender on the ship. Females were more likely to survive. O D. Reject the null hypothesis and conclude there is strong evidence of an association between survival and gender on the ship. Females were more likely to survive