2 3 4 5 7 9 10 This Question 1 pt This Test 10 pts Time Rema

2 3 4 5 7 9 10 This Question: 1 pt This Test: 10 pts Time Remaining: 01:03:57 0 of 10 complete Female Male Total children escaped a sunken ship in greater proportion than men. Here\'s a table with the relevant data. Do you Alive368 305673 Dead1151349 1464 Total4831654 2137 Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and think that survival was independent of whether the person was male or female? Defend your conclusion. 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? OA. Ho: Survival was independent of gender on the ship. OB. Ho: There is no associations between survival and gender on the ship. OC. Ho: Survival was dependent on gender on the ship OD. Ho: There is an association between survival and gender on the ship. HA: There is an association between survival and gender on the ship. HA: Survival was dependent on gender on the ship. HA: There is no association between survival and gender on the ship. HA: Survival was independent of gender on the ship.

Solution

a)

OPTION A. [ANSWER]

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b)

OPTION D. [ANSWER]

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c)

Doing an Expected Value Chart,          
          
152.1099672   520.8900328
330.8900328   1133.109967
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    577.8830736   [ANSWER, TEST STATISTIC]

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With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    2      
b =    2      
          
df =    1      
          
          
Also, the p value is          
          
P =    0.000 [ANSWER, P VALUE]     

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e) Interpret the P value.

[OPTION B, ANSWER]