PLEASE HELP WITH THE LAST PART OF THIS PROBELM 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...




PLEASE HELP WITH THE LAST PART OF THIS PROBELM

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


66.0


402.0


1567.0


1131.0


270.0


253.0


110.0


154.0


32.0




Justice Salary


29


45


91


57


46


61


26


27


17








What are the null and alternative​ hypotheses?







A.



H0​:

ρ≠0



H1​:

ρ=0







B.



H0​:

ρ=0



H1​:

ρ<>







C.



H0​:

ρ=0



H1​:

ρ≠0



Your answer is correct.




D.



H0​:

ρ=0



H1​:

ρ>0






Construct a scatterplot. Choose the correct graph below.







A.










08001600050100Court IncomeJustice Salary










A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers.






B.










08001600050100Court IncomeJustice Salary










A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43).






C.










08001600050100Court IncomeJustice Salary










A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (32.0, 17) and (1567.0, 91). An outlier is plotted at (253.0, 61).


Your answer is correct.




D.










08001600050100Court IncomeJustice Salary










A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24)..





The linear correlation coefficient is
r=0.8670.867.


​(Round to three decimal places as​ needed.)

The test statistic is
t=4.6104.610.


​(Round to three decimal places as​ needed.)

The​ P-value is
0.0010.001.


​(Round to three decimal places as​ needed.)

Because the​ P-value is



less





than the significance level
0.05​,

there



is





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.

PLEASE HELP WITH THIS PART:


Based on the​ results, does it appear that justices might profit by levying larger​ fines?






A.


It does appear that justices might profit by levying larger fines.






B.


It does appear that justices might profit by issuing smaller fines.






C.


It appears that justices profit the same despite the amount of the fines.






D.


It does not appear that justices might profit by levying larger fines.





Jun 09, 2022
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