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
uysha [10]
2 years ago
5

A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile

models that need major repairs (more than $500) within two years of their purchase. A sample of 400 two-year owners of model 1 is contacted, and a sample of 500 two-year owners of model 2 is contacted. The numbers x1 and x2 of owners who report that their cars needed major repairs within the first two years are 53 and 78, respectively. What is the p-value of the appropriate test of hypotheses
Mathematics
1 answer:
podryga [215]2 years ago
7 0

Answer:

The answer is "0.3206".

Step-by-step explanation:

H_0: p_1 = p_2\\\\H_a: p_1 \neq  p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456

Testing statistic:

z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}

=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99

Calculating the P-value Approach

\text{P-value}= 0.3206

You might be interested in
Help. I don't understand any of this math. please help.
alexdok [17]

Answer:

its c 2b(12 - 17a)

Step-by-step explanation:

8 0
2 years ago
Use the Ratio Test to determine whether the series is convergent or divergent.
natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

= |-3n³/2(n+1)³|

= 3n³/2(n+1)³

= (3/2)[1/(1 + 1/n)³]

Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity

= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity

= 3/2 × 1

= 3/2

The series is therefore, absolutely convergent, and the limit is 3/2

3 0
2 years ago
What is the value of c?
yulyashka [42]

Answer:

71

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Money can be easily converted into goods or services. This is an example of which "function of money"?
EastWind [94]

Answer:

medium of exchange

Step-by-step explanation:

just took the test

4 0
2 years ago
Given that a randomly chosen flight arrives on time, what is the probability that it arrives in Philadelphia (PHL)?
olga55 [171]

Using concepts of probability, it is found that there is a 4.7% probability that it arrives in Philadelphia (PHL).

<h3>What is a probability?</h3>
  • A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • Over a large number of trials, a percentage can also represent the probability of  single event.

In this question, researching the problem on the internet, we have that over a large number of flights, of those which arrived on time, 4.7% of them were in Philadelphia, hence:

  • There is a 4.7% probability that it arrives in Philadelphia (PHL).

You can learn more about probabilities at brainly.com/question/15536019

3 0
2 years ago
Other questions:
  • Dr potter provides vaccinations against polio and measles. Each polio vaccination multi-dose vial consists of 44 individual dose
    10·1 answer
  • Which of the following algebraic expressions does not represent the word phrase, "a number times five"?
    12·1 answer
  • What is the surface area of a cylinder with a diameter of 8 centimeters and a height of 12 centimeters?
    14·1 answer
  • Two lines are perpendicular when... the product of their slope is -1, the product of the slope is greater than 0, they have the
    12·1 answer
  • How many inches are there in 4.5 feet ?
    15·1 answer
  • In an aquarium, there are 7 large fish and 6 small fish. Half of the small fish are red.
    12·1 answer
  • Is 9/16 a terminating or repeating decimal plz ASAP brainley
    5·2 answers
  • A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili
    9·1 answer
  • NEED HELP ASAP WILL GIVE BRAINLY
    5·1 answer
  • Simplfy 3^4x-1 = 81​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!