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A sample of subjects were asked their opinion about refurbishing the subway in New York (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (n) = a + B + B² + B² < has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) @= -0.11, ߦ = 0.16, ß = 0.0, B³ = -0.57, B2 -0.66, B² = 0.0, B² = 0.84, ß² = -1.67, ß = 0.0. In addition, the model is nominal responsible variables.< (1) Interpret how the odds of supporting refurbishment depend on gender.< (2) Find the estimated probability of supporting refurbishment for (i) male Catholic Republicans and (ii) female Jewish Democrats.< = (3) If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.< (4) If we defined parameters such that they sum to 0 across the categories of a variable, then what would and equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.<

A sample of subjects were asked their opinion about refurbishing the subway in New York (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (n) = a + B + B² + B² < has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) @= -0.11, ߦ = 0.16, ß = 0.0, B³ = -0.57, B2 -0.66, B² = 0.0, B² = 0.84, ß² = -1.67, ß = 0.0. In addition, the model is nominal responsible variables.< (1) Interpret how the odds of supporting refurbishment depend on gender.< (2) Find the estimated probability of supporting refurbishment for (i) male Catholic Republicans and (ii) female Jewish Democrats.< = (3) If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.< (4) If we defined parameters such that they sum to 0 across the categories of a variable, then what would and equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.<

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A sample of subjects were asked their opinion about refurbishing the subway in New York (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (n) = a + B + B² + B? < = has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) â= −0.11,ߦ = 0.16, ߣ = 0.0, ß² = −0.57, ß² -0.66, B = 0.0,B² = 0.84, ß² = -1.67, ß = 0.0. In addition, the model is nominal responsible variables.< (1) Interpret how the odds of supporting refurbishment depend on gender.< (2) Find the estimated probability of supporting refurbishment for (i) male Catholic Republicans and (ii) female Jewish Democrats.< (3) If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender. (4) If we defined parameters such that they sum to 0 across the categories of a variable, then what would ß and equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.<
Transcribed Image Text:A sample of subjects were asked their opinion about refurbishing the subway in New York (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (n) = a + B + B² + B? < = has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) â= −0.11,ߦ = 0.16, ߣ = 0.0, ß² = −0.57, ß² -0.66, B = 0.0,B² = 0.84, ß² = -1.67, ß = 0.0. In addition, the model is nominal responsible variables.< (1) Interpret how the odds of supporting refurbishment depend on gender.< (2) Find the estimated probability of supporting refurbishment for (i) male Catholic Republicans and (ii) female Jewish Democrats.< (3) If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender. (4) If we defined parameters such that they sum to 0 across the categories of a variable, then what would ß and equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.<
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Step 1

Given Information:

Consider the given model:

   Logitπ=α+βhG+βiR+βjP

Where,

  α=-0.11,   β^1G=0.16,  β^2G=0.0 β^1R=-0.57, β^2R=-0.66 , β^3R=0.0β^1P=0.84,  β^2P=-1.67,  β^3P=0.0

 

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