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
Inga [223]
3 years ago
14

Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr

olet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

You might be interested in
What is the perimeter of this square?<br> 5.9 yd
Nataliya [291]
Can you take a picture bc i don’t understand
4 0
3 years ago
Read 2 more answers
Solve using substitution method x-y=11;3x+10y=-6<br> explain please
Tatiana [17]
Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.
6 0
3 years ago
Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1
boyakko [2]

multiply the 2 numbers

9 1/2 * 1 3/4 =

19/2 * 7/4 = 133/8 = 16 5/8 miles

6 0
3 years ago
Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)
KIM [24]

Answer:

The expression simplifies to \frac{4(x+2)}{5(x-1)}.

Step-by-step explanation:

The expression

\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}

can be rearranged and written as

\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.

In this form the (x+3) terms in the numerator and in the denominator cancel to give

\frac{8x(x+2)}{10x(x-1)}.

The x's are present both in the numerator and in the denominator, so they also cancel, and the fraction \frac{8}{10} simplifies to \frac{4}{5}, so finally our expression becomes:

\boxed{\frac{4(x+2)}{5(x-1)}}

Which is our answer:)

6 0
3 years ago
The scale drawing of a window is 1 inch by 2 inches. The actual size of the window is 24 inches by 48 inches.
weeeeeb [17]

This means that every 1 inch in the drawing is 24 inches of the actual size.

Hope this helps!

8 0
3 years ago
Other questions:
  • What is the measure of RST????
    7·2 answers
  • I need help solving this problem |5x - 1| &lt; 1
    15·1 answer
  • Use a proportion to convert the measurement.<br> 10 yards =_______meters
    14·2 answers
  • True or false???????
    9·2 answers
  • What time is 3 1/3 hours after 11:45 pm?
    12·2 answers
  • The data set represents the total number of tickets each person purchased for a play
    5·1 answer
  • miguel is designing shipping boxes that are rectangular prisms. the shape of one box, with height h in feet, has a volume define
    10·2 answers
  • Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can h
    5·2 answers
  • PSLS S S S S S S S s s s. Ss s s s s
    9·2 answers
  • What is the approximate volume of a cylinder with a radius of 3 feet and a height of 4 feet?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!