Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 65.0 406.0 1567.0 1131.0 271.0 254.0 111.0 152.0 30.0 29 45 45 60 24 25 19 91 58 *** What are the null and alternative hypotheses? O A. Ho: p=0 OB. Ho: p=0 H₁: p<0 H₁: p=0 OC. Ho: p=0 H₁: p#0 OD. Ho: p=0 H₁: p>0 Construct a scatterplot. Choose the correct graph below. O A. B. O C. O D. A Justice Salary Q A Justice Salary Justice Salary 100- 100- 100- .... 50- 50- 50+ 0- 800 1600 Court Income Court Income The linear correlation coefficient is r = (Round to three decimal places as needed.) The test statistic is t = (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? O A. does appear that justices might profit by levying larger fines. OB. It appears that justices profit the same despite the amount of the fines. OC. It does not appear that justices might profit by levying larger fines. OD. It does appear that justices might profit by issuing smaller fines. 0+ 100- 50 of 0 800 1600 AJustice Salary DE 1 I 0 800 1600 Court Income Court Income sufficient evidence to support the claim that there is a linear correlation between court incomes 0 800 1600

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Author:Amos Gilat
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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear
correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries?
Based on the results, does it appear that justices might profit by levying larger fines?
Court Income 65.0 406.0 1567.0 1131.0 271.0 254.0 111.0 152.0 30.0
Justice Salary 29 45 91 58 45 60 24 25 19
What are the null and alternative hypotheses?
O A. Ho: p#0
O B. Ho: p=0
H₁: p=0
H₁: p<0
OC. Ho: p=0
D. Ho: p=0
H₁: p>0
H₁:
p=0
Construct a scatterplot. Choose the correct graph below.
A.
B.
C.
★Justice Salary
AJustice Salary
100-
Justice Salary
D.
100-
★Justice Salary
100+ ▬▬▬▬▬▬
·
■●
50-
50-
50+
0-
0-
800 1600
800 1600
Court Income
Court Income
Court Income
Court Income
The linear correlation coefficient is r =
(Round to three decimal places as needed.)
The test statistic is t=.
(Round three decimal places as needed.)
The P-value is.
(Round to three decimal places as needed.)
Because the P-value is
than the significance level 0.05, there ▼sufficient evidence to support the claim that there is a linear correlation between court incomes
and justice salaries for a significance level of α = 0.05.
Based on the results, does it appear that justices might profit by levying larger fines?
O A. It does appear that justices might profit by levying larger fines.
B. It appears that justices profit the same despite the amount of the fines.
C. It does not appear that justices might profit by levying larger fines.
OD. It does appear that justices might profit by issuing smaller fines.
100-
50-
0-
0
0
800 1600
57
0
●
•
800 1600
to
0
Transcribed Image Text:Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 65.0 406.0 1567.0 1131.0 271.0 254.0 111.0 152.0 30.0 Justice Salary 29 45 91 58 45 60 24 25 19 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Ho: p=0 H₁: p=0 H₁: p<0 OC. Ho: p=0 D. Ho: p=0 H₁: p>0 H₁: p=0 Construct a scatterplot. Choose the correct graph below. A. B. C. ★Justice Salary AJustice Salary 100- Justice Salary D. 100- ★Justice Salary 100+ ▬▬▬▬▬▬ · ■● 50- 50- 50+ 0- 0- 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r = (Round to three decimal places as needed.) The test statistic is t=. (Round three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there ▼sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of α = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? O A. It does appear that justices might profit by levying larger fines. B. It appears that justices profit the same despite the amount of the fines. C. It does not appear that justices might profit by levying larger fines. OD. It does appear that justices might profit by issuing smaller fines. 100- 50- 0- 0 0 800 1600 57 0 ● • 800 1600 to 0
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