Question

Female Male | Total Alive 393 268 661 Dead109 1349 1458 Tota502 1617 2119 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 independent of whether the person was male or female? Defend your conclusion. HA Survival was dependent on gender on the ship Ho-There is an association between survival and gender on the ship. HA Survival was independent of gender on the ship O D. Are the conditions for inference satisfied? O A. Yes, because the data are counts, the data in groups are independent, and the groups have at least 5 observations. 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 in counts, the data in groups are dependent on each other, and the groups are sufficiently large 0 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. χ2-D (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 OA. 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 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. ▼

Answer 1

Ho:Survival was independent of gender,,

Ha: There is an association,,,

Are the condition satisfied: option A is correct

Applying chi square test:

Expected	Ei=row total*column total/grand total	female	male	Total
	Alive	156.594	504.406	661
	Dead	345.406	1112.594	1458
	total	502	1617	2119
chi square    χ2	=(Oi-Ei)2/Ei	female	male	Total
	Alive	356.8979	110.7995	467.697
	Dead	161.8035	50.2321	212.036
	total	518.701	161.032	679.7330

test statistic X² = 679.73

p value =0.0000

reject the null hypotheiss and conclude there is a strong evidence,,,