1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
2 years ago
13

Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received prope

rly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price
Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

\pi = \frac{179}{523} = 0.3423

Then the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830

More can be learned about the z-distribution at brainly.com/question/25890103

You might be interested in
A forest ranger in a 110 ft observation tower sees a fire. The angle of depression is 12 degrees. To the nearest foot, what is t
Iteru [2.4K]

The distance from the tower to the fire is 529.10feet

<h3>Angle of depression</h3>

The distance from the tower to the fire is the hypotenuse of the resulting triangle

Given the following

  • Height of the tower = 110ft

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 12 = 110/H

H = 110/sin12

H = 110/0.2079

H = 529.10

Hence the distance from the tower to the fire is 529.10feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

7 0
2 years ago
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Lady bird [3.3K]

Answer:

7/16

Step-by-step explanation:

7 0
3 years ago
What is the volume of a cube with the fraction 6/7 on three sides.
GaryK [48]
Volume cube=side^3
side=6/7
volume=(6/7)^3
remember
(a/b)^c=(a^c)/(b^c)
(6/7)^3=(6^3)/(7^3)=216/343

the volume is 216/343 cubic units
8 0
3 years ago
Read 2 more answers
Select all that are measures of angles coterminal with a 145° angle.
Mamont248 [21]
The first 2 and last 2. I just did this assignment
3 0
3 years ago
Read 2 more answers
Please help me with all thank you
zhenek [66]

Answer:

345x32=11040

546/7=78

789x24=18936

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A function g(x) is defined as shown. G(x) = StartLayout enlarged left-brace 1st Row 1st column 2 + 3 x, 2nd column 0 less-than-o
    15·1 answer
  • A wall takes 10 seconds to strike 6.how much time will it take to strike 12?
    14·1 answer
  • Maria had 7 boxes. A week later there was a fire. After the fire she had 22 boxes how many boxes did Maria start with?
    14·1 answer
  • Rodrigo's fish bowl hold 7/8 gallon of water it is now half full how much water is in it
    12·1 answer
  • Solve for a.
    11·2 answers
  • Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a · b) · c (a · b) · c has ---Select---
    5·1 answer
  • Divide 315ml in the ratio 2:7
    15·1 answer
  • What is x 4x+2 plz help
    6·2 answers
  • Which expression is equivalent to 6 x p +3
    5·2 answers
  • The following expression is written by some students: A+B=C. if ''A'' is always twice the value of ''B''. what is the value of '
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!