Problems 12-17 The table below gives the number of US Senators, from each party, spending federal dollars in each of three spending classes. The table is set up to help you calculate x² so there are blanks provided in addition to the data. You will need to do the addition to arrive at the row and column totals. You are doing a Chi Square test at the 0.05 level of significance to determine if part and spending are dependent. Spending 4 to 7 Billion Less than 4 Billion More than 7 Billion 8- 15- 22- 12- 19- 16- 12. Choose the best Null and Alternate Hypotheses for this study: a. Ho: party and spending are independent. H₁: party and spending are NOT independent. b. Ho: party and spending are NOT independent. H₁: party and spending are independent. c. Ho: party and spending are independent. H₁: party and spending are independent. Ho: party and spending are NOT dependent. H₁: party and spending are NOT independent. Ho: party and spending are NOT independent. d. Ans. 13. Calculate the expected frequency for a Democrat spending less than 4 Billion. a. 8.76 b. 10.22 c. 17.37 d. 16.63 Ans. 14. For this x² test, what is the degree of freedom? a. df = 3 b. df = 2 C. df = 4 d. df = 1 Party Republican Democrat Ans.

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### Problems 12-17

The table below gives the number of US Senators, from each party, spending federal dollars in each of three spending classes. The table is set up to help you calculate \( \chi^2 \) so there are blanks provided in addition to the data. You will need to do the addition to arrive at the row and column totals. You are doing a Chi-Square test at the 0.05 level of significance to determine if party and spending are dependent.

#### Spending Table

| Party       | Spending \(\)        | Total      |
|-------------|-----------------------|------------|
|             | Less than 4 Billion   | 4 to 7 Billion | More than 7 Billion |
| Republican  | 8                     | 15          | 22          | -       |
| Democrat    | 12                    | 19          | 16          | -       |
| Total       | -                     | -           | -           | -       |

### 12. Choose the best Null and Alternate Hypotheses for this study:
a. Ho: party and spending are independent. H1: party and spending are NOT independent.  
b. Ho: party and spending are NOT independent. H1: party and spending are independent.  
c. Ho: party and spending are independent. H1: party and spending are independent.  
d. Ho: party and spending are NOT dependent. H1: party and spending are NOT independent.

Ans: __________

### 13. Calculate the expected frequency for a Democrat spending less than 4 Billion.
a. 8.76  
b. 10.22  
c. 17.37  
d. 16.63  

Ans: __________

### 14. For this \( \chi^2 \) test, what is the degree of freedom?
a. df = 3   
b. df = 2  
c. df = 4  
d. df = 1  

Ans: __________

### Explanation of Graphs and Diagrams

The table above is divided into different spending categories and compares the number of US Senators from the Republican and Democrat parties. There are three spending categories: less than 4 billion, 4 to 7 billion, and more than 7 billion. Each cell in the table corresponds to the number of senators from each party falling into these categories. Participants are required to fill in the missing totals and use the data
Transcribed Image Text:### Problems 12-17 The table below gives the number of US Senators, from each party, spending federal dollars in each of three spending classes. The table is set up to help you calculate \( \chi^2 \) so there are blanks provided in addition to the data. You will need to do the addition to arrive at the row and column totals. You are doing a Chi-Square test at the 0.05 level of significance to determine if party and spending are dependent. #### Spending Table | Party | Spending \(\) | Total | |-------------|-----------------------|------------| | | Less than 4 Billion | 4 to 7 Billion | More than 7 Billion | | Republican | 8 | 15 | 22 | - | | Democrat | 12 | 19 | 16 | - | | Total | - | - | - | - | ### 12. Choose the best Null and Alternate Hypotheses for this study: a. Ho: party and spending are independent. H1: party and spending are NOT independent. b. Ho: party and spending are NOT independent. H1: party and spending are independent. c. Ho: party and spending are independent. H1: party and spending are independent. d. Ho: party and spending are NOT dependent. H1: party and spending are NOT independent. Ans: __________ ### 13. Calculate the expected frequency for a Democrat spending less than 4 Billion. a. 8.76 b. 10.22 c. 17.37 d. 16.63 Ans: __________ ### 14. For this \( \chi^2 \) test, what is the degree of freedom? a. df = 3 b. df = 2 c. df = 4 d. df = 1 Ans: __________ ### Explanation of Graphs and Diagrams The table above is divided into different spending categories and compares the number of US Senators from the Republican and Democrat parties. There are three spending categories: less than 4 billion, 4 to 7 billion, and more than 7 billion. Each cell in the table corresponds to the number of senators from each party falling into these categories. Participants are required to fill in the missing totals and use the data
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