Question

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? 64.0 405.0 1566.01132.0 271.0 252.0 112.0 151.0 33.0 Court Income Justice Salary 31 42 94 55 44 62 24 25 18 0 0- 0 0- 0 1600 800 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient r is 0.859. (Round to three decimal places as needed.) The test statistic t is 4.439 (Round to three decimal places as needed.) The P-value is 0.003 |(Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there sufficient evidence to support the claim that is 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? A. It appears that justices profit the same despite the amount of the fines. B. It does appear that justicess might profit by issuing smaller fines. O C. It does appear that justices might profit by levying larger fines. O D. It does not appear that justices might profit by levying larger fines. Click to select your answer(s),

Answer 1

the linear correlation coefficient r is 0.859

the test statistic t is 4.44114

the P - value is 0.003

Because the P - value is less than the significance level 0.05, there is sufficient evidence to reject the null hypothesis

c is correct