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
Sidana [21]
3 years ago
6

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer. Test whether there is a difference between these proportions at α = 0.05. What is the test statistic value? Group of answer choices
Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first random sample size n₁ = 500</em>

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{65}{500} = 0.13

<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{133}{700} = 0.19

<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Null hypothesis : H₀: There  is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There  is significance difference between these proportions</em>

<em>Test statistic </em>

<em></em>Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<em></em>

<em>where </em>

<em>         </em>P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2}  }{n_{1}+ n_{2}  } = \frac{500 X 0.13+700 X0.19  }{500 + 700 } = 0.165<em></em>

<em>        Q = 1 - P = 1 - 0.165 = 0.835</em>

<em></em>Z = \frac{0.13-0.19  }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }<em></em>

<em>Z =  -2.76</em>

<em>|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected at 0.05 level of significance</em>

<em>Alternative hypothesis is accepted at 0.05 level of significance</em>

<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

You might be interested in
What is the area of the figure below
Viefleur [7K]

Answer:

390cm

Step-by-step explanation:

1. find area of rectangle

 1. 15cm x 20cm= 300 cm

2. find area of triangle

  1. 1/2 (12 x 15)= 90cm

300+90

4 0
3 years ago
Solve the equation x/4+3=-6
charle [14.2K]
X/4 = -9

x/4 = -9/1

cross multiply 

x = -36
3 0
3 years ago
A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly
erma4kov [3.2K]
<span>322,000 meters. Because there is 1,000 meters in a kilometer.</span>
3 0
3 years ago
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i
saw5 [17]
6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
8 0
3 years ago
Read 2 more answers
Explain the following terms: positive slope, negative slope, x-intercept, y-intercept &lt;&lt; Read Less
garik1379 [7]
Hello there!

A positive slope is represented in a linear equation by a positive coefficient behind the x term. A positive slope means that the graph is on an increasing interval as x approaches +∞. In a more simple way, a positive slope means that the graph is going up from left to right.

A negative slope is represented in a linear equation by a negative coefficient behind the x term. A negative slope means that the graph is on a decreasing interval as x approaches +∞. In a more simple way, a negative slope means that the graph is going down from left to right.

The x intercept(s) of a graph are where the graph touches the x-axis. These are also known as the zero(s) OR solution(s) of the function.

The y intercept(s) of a graph are where the graph touches the y-axis.

I hope this helps!
Best wishes:)

7 0
3 years ago
Other questions:
  • Solve the following equation for L: <br><br> P= 2L + 2W
    6·1 answer
  • 4y = 3x - 2. Find the x and y intercepts of the line
    9·1 answer
  • What is the answer for # 24?<br><br>A B C or D
    14·1 answer
  • Expand each expression.<br><br> ln (2x)4
    8·2 answers
  • Pleas please help! Solve for d. 3/15 - d/5 = 5/6 + d/3
    7·2 answers
  • Graphing question easy! HELP!
    11·2 answers
  • A round dining table has a radius of 4 feet. What is the approximate area in square feet? Use 3.14 for π
    14·1 answer
  • If a circle has a diameter of 23 inches, then the radius will be_____?
    14·1 answer
  • What is the answer for Y= -6/+2 +4
    5·1 answer
  • Five less than the quotient of a number and 3<br> is no less than 11
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!