Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sampled Greeks in 2011 and found that 25% of them sald they would rate the ives poorly enough to be considered "suffering." (a) Describe the population parameter of interest. O the proportion of all Greeks who say they were negatively affected by the economic crisis O the proportion of all Greeks who would rate their lives as poorly enough to be considered "suffering" O all Greeks What is the value of the point estimate of this parameter? (Enter your answer to two decimal places.) p = (b) Check if the conditions required for constructing a confidence interval based on these data are met. vv random, and 1,000 represents less than v 10% of all Greeks, this condition is met. The The data must be independent vy. Since the sample is success-failure v condition must also be met. Since 1,000 x 0.25 = 250, which is greater than v 10, and 1,000 x 0.75 = 750, which is greater than v condition is also met. 10, this (c) Construct a 95% confidence interval for the proportion of Greeks who are "suffering." (Round your answers to four decimal places.)
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.
P= and C.
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