A newspaper reported the results of a survey on the planning habits of men and women. In response to the question "What is your preferred method of planning and keeping track of meetings, appointments, and deadlines?" 54% 43% of the women answered "I keep them in my head." A nationally representative sample of 1,000 adults participated in the survey; therefore, assume that 500 were men and 500 were women. Complete parts a through e. I.P a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their head, p,, is larger than the corresponding percentage of women, p2. Choose the correct ar VA. Ho: P: - P2 =0 versus H: P; -P2>0 O B. Ho: P1 -P2 =0 versus H: P1 -P2 #0 O C. Ho: P. -P2 =0 versus H: P: -P2 <0 b. Compute the test statistic for the test. 3.48 (Round to two decimal places as needed.) c. Give the rejection region for the test, using a = 0.01. Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. 2= O B. z> OC. z< - O D. z< - or z>
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.
![**Survey Analysis on Planning Habits**
A newspaper reported the results of a survey on the planning habits of men and women. In response to the question, "What is your preferred method of planning and keeping track of meetings, appointments, and deadlines?" 54% of the men and 43% of the women answered, "I keep them in my head." A nationally representative sample of 1,000 adults participated in the survey; therefore, assume that 500 were men and 500 were women. Complete parts a through e as follows:
**a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their head, \( p_1 \), is larger than the corresponding percentage of women, \( p_2 \). Choose the correct answer below:**
- **A.** \( H_0: p_1 - p_2 = 0 \) versus \( H_a: p_1 - p_2 > 0 \) (Selected correct option)
- **B.** \( H_0: p_1 - p_2 = 0 \) versus \( H_a: p_1 - p_2 \neq 0 \)
- **C.** \( H_0: p_1 - p_2 = 0 \) versus \( H_a: p_1 - p_2 < 0 \)
**b. Compute the test statistic for the test.**
\[ 3.48 \quad \text{(Rounded to two decimal places as needed.)} \]
**c. Give the rejection region for the test, using \( \alpha = 0.01 \). Select the correct choice below and fill in the answer box(es) within your choice.**
\[ (\text{Rounded to two decimal places as needed.}) \]
- **A.** \( z = \)
- **B.** \( z > \)
- **C.** \( z < - \)
- **D.** \( z < - \) or \( z > \)
In this problem, a sample size of 1,000 adults was used to study planning habits, with hypotheses crafted to test whether men keep track of appointments in their heads more than women. The test statistic produced was 3.48. The rejection region will determine if the null hypothesis can be rejected at the 0.01 significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dffadf4-6195-4ecd-8325-0f00263ddf75%2Fb26a604d-fcec-419c-bdb0-38f70145a8df%2Fpggtgny_processed.jpeg&w=3840&q=75)
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