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 65.0 406.0 1566.0|1130.0| 271.0 252.0 111.0 155.0| 34.0 e 29 42 92 57 47 61 25 26 17 What are the null and alternative hypotheses? O A. Ho: p+0 O B. Ho: p=0 H:p=0 H:p<0 OC. Ho: p=0 O D. Ho: p=0 H:p>0 H: p#0 Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. Justice Salary 100- AJustice Salary 100- Justice Salary 100- AJustice Salary 100- .. 50- 50. 50- 50 0 04 800 1600 1600 800 1600 800 1600 800 Court Income Court Income Court Income Court Income The linear correlation coefficient is r=. (Round to three decimal nlaces as needed

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.