On the morning of March 6, 1914 a cruiseliner set sail fromGermany on its way to

Question

On the morning of March 6, 1914 a cruiseliner set sail fromGermany on its way to Greece. On March 8, the ships bottom gave wayto the water pressure and cracked. In 4 hours ship sankcompletely with a loss of 1,490 lives. The ship had been outfittedwith 20 lifeboats, enough to hold about 54% of the passengers.

The table below gives a count of the survivors and victims ofthe ship sinking. The data are classified by type of passenger(first class, second class, third class, crew member) and survivalstatus.

survived

died

first class

203

122

second class

118

167

third class

178

528

crew class

212

673

a. What is the null hypothesis?

Thecrew class had more survivors than the other classes
Thirdclass passengers had a higher deathrate    
Survivalstatus and class of passenger are not independent
Crewclass and survival rate are not independent
Survivalstatus and class of passenger are independent
Firstclass passengers had a higher survival rate

b. What is the expected number of observations inthe cell in row 1,column 1?

c. What is the value of the test statistic for thishypothesis test?

d. What cell contributes the greatest amount to the value of thetest statistic?

The cell in row ____ and column ____

e. What is the degrees of freedom associated with thishypothesis test?

f. What is the conclusion of this hypothesis test?

Reject the null hypothesis and concludethat survival status and class of passenger are notindependent.
Do notreject the null hypothesis and conclude that survival status andclass of passenger are independent.    

survived

died

first class

203

122

second class

118

167

third class

178

528

crew class

212

673

Explanation / Answer

Chi-Square Test: survived,died

Expected counts areprinted below observed counts
Chi-Square contributions are printed below expectedcounts

       survived   died Total
    1      203     122    325
         104.99 220.01
         91.504 43.664

   2       118    167    285
          92.06 192.94
         7.306   3.486

   3       178    528    706
         228.06 477.94
         10.989  5.244

   4       212    673    885
         285.89 599.11
         19.095  9.112

Total       711   1490   2201

Chi-Sq = 190.401, DF = 3,P-Value = 0.000

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.