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
djyliett [7]
3 years ago
11

In a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per

gallon of fuel consumed. In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard. Compute the test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard.
Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

The test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard is 3.234.

Step-by-step explanation:

We are given that in a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed.

In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard.

Let p_1 = <u><em>population proportion of cars driven at high altitudes who exceeded a standard of 10 grams</em></u>.

p_2 = <u><em>population proportion of cars driven at low altitudes who exceeded a standard of 10 grams</em></u>.

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the proportion of high-altitude vehicles exceeding the standard is smaller than or equal to the proportion of low-altitude vehicles exceeding the standard}

Alternate Hypothesis, H_A : p_1>p_2      {means that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard}

The test statistics that will be used here is <u>Two-sample z-test statistics</u> for proportions;

                             T.S.  =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~  N(0,1)

where, \hat p_1 = sample proportion of cars driven at high altitudes who exceeded a standard of 10 grams = \frac{24}{90} = 0.27

\hat p_2 = sample proportion of cars driven at low altitudes who exceeded a standard of 10 grams = \frac{42}{380} = 0.11

n_1 = sample of cars driven at high altitudes = 90

n_2 = sample of cars driven at low altitudes = 380

So, the test statistics =  \frac{(0.27-0.11)-(0)}{\sqrt{\frac{0.27(1-0.27)}{90}+\frac{0.11(1-0.11)}{380} } }      

                                   =  3.234

The value of z-test statistics is 3.234.

You might be interested in
What is 5/6 divided by-2/3
liraira [26]

Answer: -5/4


Step-by-step explanation:

Apply the fraction rule: a/-b = -a/b

-5/6/2/3

-----------------------------------------------------------------------------------------------------------------

Divide fractions: a/b/c/d = a x d/ b x c

-5 x 3 / 6 x 2

-----------------------------------------------------------------------------------------------------------------

Multiply the numbers: 6 x 2 = 12

-5 x 3 / 12

-----------------------------------------------------------------------------------------------------------------

Multiply the numbers: 5 x 3 = 15

-15/12

-----------------------------------------------------------------------------------------------------------------

Cancel the common factor.3

-5/4

-----------------------------------------------------------------------------------------------------------------

Sorry if this is a little confusing but your answer to the question is ( -5/4 )

3 0
3 years ago
"Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to th
Aleonysh [2.5K]
What is the flaw in Gina’s proof?
A) Points D and E must be constructed, not simply labeled, as midpoints.

B) Segments DE and AC are parallel by construction.  THIS IS THE FLAW. THE SEGMENTS WERE NOT DRAWN NOR PROPERLY IDENTIFIED.

C) The slope of segments DE and AC is not 0.

D) The coordinates of D and E were found using the Distance between Two Points Postulate 
6 0
3 years ago
Read 2 more answers
Pls, help!!!! Will make brainliest!!! Answer both parts!
Vitek1552 [10]

pt. a

i dont know sorry im not good with linear equations

(and no, im not just doing this for points)

pt. b

Answer: no

Step-by-step explanation:

380%45=8.4444444

so it will take him around 8 and a 1/2 days to read it finish

4 0
2 years ago
Read 2 more answers
Which is the better buy? 5-pack of toaster pastries for $4.13 or 9-pack of toaster pastries for $7.56
kolbaska11 [484]

Answer: <em>The answer is </em><u><em>9-pack of toaster pastries for $7.56</em></u>

Step-by-step explanation:

<em>Basicly it would be more expensive if you bought 9 for the first option but less for the other.</em>

5 0
3 years ago
Can someone please help me with this problem
Archy [21]
I think its A because if you think about it 6 and 12 its a easy possiblility so it is A i think
5 0
3 years ago
Read 2 more answers
Other questions:
  • 1 QUESTIONS BRAINLIESTTTTT ASAP!<br> EXPERTS!!
    12·1 answer
  • Monica invest a total of $ 17,000 in two accounts. The first account earned a rate of return of 14% (after a year). However, the
    7·1 answer
  • Solve for x in the following inequality.<br><br> 4 - 3x ≤ 2x + 6
    7·1 answer
  • Let R be the region in the first quadrant bounded by the curves y = x^3 and y = 2x - x^2. Calculate the following quantities.
    13·1 answer
  • Elijah bought 3 3/4 pounds of groind hamburger meat for $11.00. What is the price per pound of the ground hamburger meat. Roind
    6·2 answers
  • Hypothesis: Family centered care is a significant predictor of children's health-related quality of life, independent of illness
    9·1 answer
  • I thought it was 2 but it’s not one of the answers :3,4,5,or 6 cans?
    6·2 answers
  • Given XY = 15, WX = 22, ZX = 32, WT = 10. mZWZY = 62°, mZWXT = 27°, and mZZWT = 77º.
    14·2 answers
  • Find the area. Answer ASAP pls pls
    12·1 answer
  •  A barber has already cut for peoples hair today. Every 10 minutes another person comes to the Barber to get a haircut. Write
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!