rarely eat three meals a day. Usually Eat 3 Meals a Day| 3 Meals a Day Rarely Eat Male 25 22 Female 37 52 (a) Is there evidence that the proportions who would fall into each of the two response categories are not the same for males and females? Use the x statistic to test the relevant hypotheses with a significance level of a - 0.05. State the appropriate null and alternative hypotheses. O H,: The proportions falling into the two response categories are the same for males and females. H: The proportions falling into the two response categories are not the same for males and females. O Ho: The proportions falling into the two response categories are not the same for males and females. H: The proportions falling into the two response categories are the same for males and females. O H: The proportions falling into the two response categories are 0.5 for both males and females. H: The proportions falling into the two response categories are not 0.5 for both males and females. O Ho: The proportions falling into the two response categories are not 0.5 for both males and females. H: The proportions falling into the two response categories are 0.5 for both males and females. Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.) Prvalue State the conclusion in the problem context. O Reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. (b) Are your calculations and conclusions from part (a) consistent with the accompanying Minitab output? Expected counts are printed below observed counts Chi-Square contributions are printed below expected counte Total 47 Rarely 22 25.57 25 21.43 Male 0.596 0.499 Female 37 52
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.
I only need help with b, c, and d. I did however attach the rest of the problem for reference.
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