Listed below are amounts of oourt income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the inear correlation coefficient r, and find the P-valuo using a0.05. 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 fines7 Court Income Justice Salary 66.0 404.0 1568.01131.0 274.0 252.0 111.0 153.0 34.0 0 30 43 91 57 46 62 26 27 19

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
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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 levylng larger fines?
Court Income
66.0 404.0 1568.01131.0 274.0 252.0 111.0 153.0 34.0
30
Justice Salary
43
91
57
46
62
26
27
19
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.
V 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 a = 0.05.
Based on the results, does it appear that justices might profit by levying larger fines?
O A. It does not appear that justices might profit by levying larger fines.
O B. It appears that justices profit the same despite the amount of the fines.
O C. It does appear that justices might profit by issuing smaller fines.
O D. It does appear that justices might profit by levying larger fines.
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 levylng larger fines? Court Income 66.0 404.0 1568.01131.0 274.0 252.0 111.0 153.0 34.0 30 Justice Salary 43 91 57 46 62 26 27 19 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. V 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 a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? O A. It does not appear that justices might profit by levying larger fines. O B. It appears that justices profit the same despite the amount of the fines. O C. It does appear that justices might profit by issuing smaller fines. O D. It does appear that justices might profit by levying larger fines.
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
Justice Salary
66.0 404.0 1568.01131.0 274.0 252.0 111.0 153.0 34.0
30
43
91
57
46
62
26
27
19
What are the null and alternative hypotheses?
OA. Ho: p=0
B. Hoi pm0
H,: p>0
. Ho: pr0
OD. Ho: p0
H,: p<0
Construct a scatterplot. Choose the correct graph below.
O A.
O B.
Oc.
OD.
AJustice Salary
100
AJustice Salary
100
AJustice Salary
100
Austice Salary
100
50
50-
50
50-
of
1600
B00
1600
Court income
800
Court Income
800
1600
800
Court Income
1600
Court Income
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 Justice Salary 66.0 404.0 1568.01131.0 274.0 252.0 111.0 153.0 34.0 30 43 91 57 46 62 26 27 19 What are the null and alternative hypotheses? OA. Ho: p=0 B. Hoi pm0 H,: p>0 . Ho: pr0 OD. Ho: p0 H,: p<0 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. OD. AJustice Salary 100 AJustice Salary 100 AJustice Salary 100 Austice Salary 100 50 50- 50 50- of 1600 B00 1600 Court income 800 Court Income 800 1600 800 Court Income 1600 Court Income
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