Identify the Null and alternative hypothesis Construct a scatteplot where the court income =X and the Jutice sallery = Y Find the test statistic Find the P-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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
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
64.0
406.0
1567.0
1130.0
270.0
254.0
112.0
150.0
33.0
 
Justice Salary
30
43
93
55
48
60
25
26
19
 
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
ρ=0
H1​:
ρ>0
 
B.
H0​:
ρ≠0
H1​:
ρ=0
 
C.
H0​:
ρ=0
H1​:
ρ<0
 
D.
H0​:
ρ=0
H1​:
ρ≠0
 
  • Identify the Null and alternative hypothesis
  • Construct a scatteplot where the court income =X and the Jutice sallery = Y
  • Find the test statistic
  • Find the P-value
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