c. What is the sampling distribution of the test is abat Proper d. Is the test two-tailed, left-tailed, or r e. What is the value of the test statistic f. What is the P-value?
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.
need d,e,f answered
![## Hypothesis Testing Exercise
### Problem Statement
30. **Gender Selection at 0.05 significance level:** Determine if data indicate a significant difference in the proportion of baby girls born when parents use the XSORT gender selection method. The problem states:
- **Null Hypothesis (\(H_0\)):** The proportion of baby girls (\(p\)) is equal to 0.5.
- **Alternative Hypothesis (\(H_1\)):** The proportion of baby girls (\(p\)) is different from 0.5.
Assume a sample data consists of 55 girls born out of 100 births. Given a sample statistic of 0.55, results in a score that is 1.0 standard deviation above 0.
### Tasks
a. **Identify the null hypothesis and the alternative hypothesis.**
b. **What is the value of \( \alpha \)?**
c. **What is the sample statistic?** Given a sample statistic of 0.55.
d. **Is the test two-tailed, left-tailed, or right-tailed?**
e. **What is the value of the test statistic?**
f. **What is the \( P \)-value?**
g. **What is the critical value?**
h. **What is the area of the critical region?**
---
**Notes:**
- The sampling distribution of the sample statistic is assumed to be normally distributed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bc77a00-164f-43df-a96c-28adb8f8f450%2Feee62d31-fc7f-4ec4-9e73-1d8c20483feb%2Fpbmql_processed.jpeg&w=3840&q=75)
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