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For Questions 12-17, use the following excerpted SAS output (assume Survive = 1 is the outcome of interest) : Testing Global Null Hypothesis: BETA=0 Test

For Questions 12-17, use the following excerpted SAS output (assume Survive = 1 is the outcome of interest):

Testing Global Null Hypothesis: BETA=0

Test

Chi-Square

DF

Pr>ChiSq

Likelihood Ratio

559.3956

5

<.0001

Score

556.7267

5

<.0001

Wald

402.3282

5

<.0001

Type 3 Analysis of Effects

Effect

DF

Wald Chi-Square

Pr>ChiSq

Class

3

108.2432

<.0001

Age

1

18.9236

<.0001

Sex

1

297.0678

<.0001

Analysis of Maximum Likelihood Estimates

Parameter

DF

Estimate

Standard Error

Wald Chi-Square

Pr>ChiSq

Intercept

1

-1.0924

0.2370

21.2406

<.0001

Class

Crew

1

0.9201

0.1486

38.3441

<.0001

Class

First

1

1.7778

0.1716

107.3697

<.0001

Class

Second

1

0.7597

0.1764

18.5558

<.0001

Age

Adult

1

-1.0615

0.2440

18.9236

<.0001

Sex

Female

1

2.4201

0.1404

297.0678

<.0001

12. What is the value of the test statistic used to test the omnibus null hypothesis? (1 point)

  1. 559.3956
  2. 556.7267
  3. 402.3282
  4. 18.9236
  5. 108.2432
  6. All of the above
  7. a, b, and c only

13. What conclusion should you make about the omnibus null hypothesis based on the given data? (1 point)

  1. Since p-value < 0.05 we reject the omnibus and conclude that at least one of the independent variables is significantly associated with the probability of surviving.
  2. Since p-value < 0.05 we reject the omnibus and conclude that all of the independent variables are significantly associated with the probability of surviving.
  3. Since p-value < 0.05 we fail to reject the omnibus and conclude that none of the independent variables are significantly associated with the probability of surviving.
  4. Since p-value < 0.05 we fail to reject the omnibus and conclude that at least one of the independent variables is significantly associated with the probability of surviving.
  5. Since p-value < 0.05 we fail to reject the omnibus and conclude that all of the independent variables are significantly associated with the probability of surviving.

14. Are there reference cells for this problem? If so, what are they? (1 point)

  1. There are no reference cells
  2. Yes, the reference cells are crew class, female gender, and adult age
  3. Yes, the reference cells are third class, male gender, and child age
  4. Yes, the reference cells are third class, female gender, and adult age
  5. Yes, the reference cells are crew class, male gender, and child age

15.How many dummy variables are needed for the variable Class? (1 point)

  1. No dummy variables are needed here

16. What is the odds ratio comparing crew class passengers to third class passengers assuming age and gender are held constant? (1 point)

  1. 0.9201
  2. 108.24
  3. 2.51
  4. 1.78
  5. -1.09

17. What is the odds ratio and appropriate interpretation for comparing male passengers to female passengers assuming class and age are help constant? (2 points)

  1. Female passengers had 2.42 times the odds of surviving the sinking compared to male passengers holding age and cabin class constant.
  2. Male passengers had 2.42 times the odds of surviving the sinking compared to female passengers holding age and cabin class constant.
  3. Male passengers had 11.25 times the odds of surviving the sinking compared to female passengers holding age and cabin class constant.
  4. Female passengers had 11.25 times the odds of surviving the sinking compared to male passengers holding age and cabin class constant.
  5. Cannot be determined based on the information provided

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