Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? E Click the icon to view the table. Determine the null and alternative hypotheses. O A. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H,: The sentence (sent to prison or not sent to prison) is independent of the plea. O B. Ho: Pleading guilty does not reduce a defendant's chance of going to prison. H: Pleading guilty reduces a defendant's chance of going to prison. OC. Ho: Pleading guilty reduces a defendant's chance of going to prison. H1: Pleading guilty does not reduce a defendant's chance of going to prison. OD. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea. H,: The sentence (sent to prison or not sent to prison) is not independent of the plea. Determine the test statistic. More Info ² = (Round to three decimal places as needed.) Guilty Plea 401 Not Guilty Plea Sent to Prison 65 Not Sent to Prison 550 63 Enter your answer in the answer box and then click Check Answer. Print Done parts remaining
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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