Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1104 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 519 passengers who flew on planes that did not recirculate air, 108 reported post-flight respiratory symptoms, while 112 of the 585 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using a = computer package to calculate the P-value. Use pdo not recirculate Pdo recirculate 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical Round your test statistic to two decimal places and your P-value to four decimal places.) Z= |0.69 P= |0.3756
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 need the p value plzz
![**Investigation on Air Recirculation in Commercial Airplanes and Respiratory Symptoms**
Researchers conducted a study on 1,104 airline passengers to evaluate the impact of air recirculation on the incidence of post-flight respiratory symptoms. The study involved both passengers who traveled on airplanes that recirculated approximately 50% of the cabin air and those who flew on airplanes that did not recirculate air.
**Study Details:**
- **Passengers on non-recirculating air flights:** 519
- **Reported respiratory symptoms:** 108
- **Passengers on recirculating air flights:** 585
- **Reported respiratory symptoms:** 112
The objective is to determine if there is sufficient evidence to conclude that the proportion of passengers experiencing post-flight respiratory symptoms differs between the two groups (those on flights with air recirculation and those without).
**Statistical Hypothesis:**
To examine the hypothesis, an alpha level (α) of 0.05 is used, considering the populations as independently selected and representative.
You are asked to calculate the P-value using the provided Z-score using a statistical software package, and the formula given is:
\[ p_{\text{do not recirculate}} - p_{\text{do recirculate}} \]
The Z-score and P-value should be rounded to two and four decimal places, respectively.
**Given Data:**
- Z-score (z): 0.69
- P-value (P): 0.3756
**Conclusion:**
\[ \text{☐ Yes, there is sufficient evidence.} \]
\[ \text{☑ No, there is not sufficient evidence.} \]
**Explanation:**
With a P-value of 0.3756, which is greater than the alpha level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the proportion of passengers with post-flight respiratory symptoms is different between airplanes that recirculate air and those that do not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F865b4b82-948d-4c8a-bb2d-a501f67df990%2F37ea7dbb-7bbc-4d95-8f10-2b739e4be550%2Ft6s6owk.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
