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In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.

The U.S. Congress, Joint Committee on Printing. provides information on the composition of Congress in Congressional Directory. On the WeissStats CD, we present data on party and class for the senators in the 113th Congress.
a. Group the bivariate data for these two variables into a contingency table.
a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of party within each class and the marginal distribution of party.
c. Determine the conditional distribution of class within each party and the marginal distribution of class.
d. Are the variables "party" and "class" for U.S. senators in the 111th Congress associated? Explain your answer.

Short Answer

Expert verified

(a) The bivariate data for these two variables into a contingency table is:

(b) The conditional distribution of party within each class and the marginal distribution of party is:

(c) The conditional distribution of class within each party and the marginal distribution of class is:

(d) Yes, the variables "party" and "class" for U.S. senators are associated because the conditional distribution of each party within each class are not similar.

Step by step solution

01

Part (a) Step 1. Given Information.

On the WeissStats CD, we present data on party and class for the senators in the 113th Congress.

02

Part (a) Step 2. Use MINITAB procedure.  

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select counts.

5. Click OK.

03

Part (a) Step 3. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate23201053
Independent2002
Republic8132445
All333334100

Cell contents: Count

04

Part (b) Step 1. Use MINITAB.  

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select column percent.

5. Click OK.

05

Part (b) Step 2. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate69.7060.6129.4153
Independent6.06002
Republic24.2439.3970.5945
All100100100100

Cell contents: % of columns.

06

Part (c) Step 1. Use MINITAB.   

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select row percent.

5. Click OK.

07

Part (c) Step 2. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate43.4037.7418.87100
Indepedent10000100
Republic17.7828.8953.33100
All333334100

Cell contents: % of rows.

08

Part (d) Step 1. Relation between "party" and "Class".  

Yes, the variables "party" and "class" for U.S. senators are associated because the conditional distribution of each party within each class are not similar.

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