A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,

and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as

follows:

Brand A

Brand B Brand C

37

21

32

Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.

State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-

square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding

significance (1 points).

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis: all three brands are equally likely to their expected value

The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.

The expected frequency = [tex]f_e[/tex]  

The observed frequency = [tex]f_o[/tex]

[tex]f_e[/tex]                    [tex]f_o[/tex]                      [tex](f_o- f_e)^2[/tex]                       [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]

37                   30                       49.00                        1.633

21                    30                        81.00                        2.700

32                   30                         4.00                         0.133

                                                                [tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]

Degree of freedom = [tex](n-1)[/tex]

= 3 -1

= 2

At ∝ = 0.05 and df = 2

The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]

Decision rule:

Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.

Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.


Related Questions

What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?

Will give brainliest pls answer immediately!

Answers

Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

Someone please help me

Answers

Answer:

them some expensive pencils

Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?

Answers

Answer:

1.3 repeated is the answer

Answer:

Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container

which expression is equivalent to 15+8x+3+2x​

Answers

Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

Which equation represents the relationship between the x-and y-values shown in the table?

Answers

the second one because the exddddsedfffdffdggf
y=3x-4
7*3=21-4=17
5*3=15-4=11
3*3=9-4=5
2*3=6-4=2

Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.

A number line going from negative 5 to positive 5. The area between negative 1 and 0 is highlighted.

What is the sum of Negative 1 + (negative 3)?
–4
–3
2
3

Answers

Answer= -4

-1+-3=-4

Step by step-
Add like normal then add the sign since both numbers are negative.
3+1= 4 then add the sign

Answer:

-4

Step-by-step explanation:

To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?

Answers

Answer:

The answer is below

Step-by-step explanation:

a) The baseball player leaps into the air with an initial velocity of  14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.

The height (y) is given by the formula:

y(t) = ut - (1/2)gt² + initial heigth

u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:

y(t) = 14t - (1/2) * 32 *t² + 0

y(t) = 14t - 16t²

b) when the player is on the ground, the height = 0. hence:

0 = 14t - 16t²

16t² - 14t = 0

t(16t - 14) = 0

t = 0 or 16t - 14 = 0

t = 0 or 16t = 14

t =0 or t = 0.875

Hence t = 0.875 seconds

c) The domain is the set of possible values for the time. Hence:

Domain = (0, 0.875] = 0 < t ≤ 0.875


Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?

A) −$12
B) −$11
C) $0
D) $12

Answers

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

A, because she is using 12 dollars so it would minus 12 dollars

Which equation represents a line parallel to the line shown on the graph?

Answers

Step-by-step explanation:

b

A=
B=
Blank 1:
Blank2:

Answers

Answer:

a=3,b=1

Step-by-step explanation:

In a parallelogram opposite sides are equal/congruent.

Using this, we know that 3a-4=a+2 and b+1=2b

1st equation:

3a-4=a+2

-a       -a

2a-4=2

   +4 +4

2a=6

a=3

2nd equation:

b+1=2b

-b     -b

b=1

a=3, b=1

A coin contains 9 grams of nickel and 16 grams of Copper, for a total of 25 grams. What percentage of the metal is copper?

Answers

Answer:

The copper percentage = 64%

Step-by-step explanation:

Given

Nickle quantity = 9 grams of nickelCopper quantity = 16 grams of nickelTotal quantity = 25 grams

The percentage of copper metal can be determined using the formula

Copper percentage = [Copper quantity / Total quantity] × 100

                                  = [16 / 25] × 100

                                   = 0.64 × 100

                                   = 64%

Therefore, the copper percentage = 64%

What is 6% of 15? Use a fraction to solve

Answers

Answer:

0.9

Step-by-step explanation:

can't really Explain, its simple mathamatics 6% of 15 = 0.9

Please help me with my delta math

Answers

Answer:

Use “ Math- way”

Step-by-step explanation:

It’s a web browser made for this stuff, you‘re welcome

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

3 fifths equals how many 20

Answers

Answer:

12

Step-by-step explanation:

20/5 = 4

4 x 3= 12

3/5 of 20 is 12.

This is because 3/5*20/1=60/5 which reduces to 12.

Kim rols three 6 sided dice.
The product of her numbers is 60
a) What numbers could she have rolled?

Answers

Answer:

2,5,6

Step-by-step explanation:

2 * 5 * 6 = 60

Kim rolls three 6 sided dice.  The product of her numbers is 60. So, the numbers are 2, 5, and 6 and this can be determined by using arithmetic operations.

Given :

Kim rolls three 6 sided dice.The product of her numbers is 60.

The following steps can be used to determine the number could Kim has rolled:

Step 1 - Let the three numbers be a,b, and c.

Step 2 - Given that the product of these numbers is 60.

[tex]a\times b \times c = 60[/tex]

Step 3 - So, the possible values of a, b, and c are:

a = 2

b = 5

c = 6

Step 4 - Check the product of a, b, and c if it is 60 then it is correct.

[tex]2\times 5\times 6 = 60[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13101306

Someone please help ASAP

Answers

The answer to this question is Yes, No, Yes, No

whats 10424123^2. yep have fun

Answers

108,662,340,319,129 that is the answer

Find the arc length of the semicircle. 8

Answers

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²

What is the decimal equivalent of the fraction 2?
0 2.125
0 2.4
O 2.1
O 2.18

Answers

Answer:

2 .1 because its closes to two

please help homework. ignore the green that's just pre algebra above ​

Answers

(6x + 5) - (8x - 3) would be the expression but then simplify it.

When it's simplified you get -2x + 8

Therefore the answer will be -2x + 8.

The blue segment below is a radius of 0. What is the length of the diameter
of the circle?

Answers

B, the answer is 21.2

What is the quotient of 154,504 divided by 28

Answers

Answer:

5518

Step-by-step explanation:

If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?

Answers

Answer:73.72

Step-by-step explanation:

Jordan found cloth for $7.50 per yard. How much would his total cost be if he needed 12 yards of cloth?

Answers

Jordan would need 90 dollars

a pack of 10 pair of socks cost 16.80. what is the cost for one pair of socks​

Answers

Answer:   $1.68 per pair of socks

Step-by-step explanation:

16.80- 10 = 1.68

Help please asap will mark brainliest!!!

Answers

the answer is 9 because 8-3=6

Answer:

it is 6

Step-by-step explanation:

its a reverse diamond

What is the slope. Write the answer in simplest form.

Answers

Answer:

-1/4

Step-by-step explanation:

Points: (-8, -3), (-24, 1)

slope = rise/run = difference in y / difference in x

Find the difference in the y-coordinates in either order:

Let's do 1 - (-3) = 1 + 3 = 4

Now we find the difference in x, but it must be in the same order we did the difference in y.

-24 - (-8) = -24 + 8 = -16

Difference in y = 4

Difference in x = -16

slope = 4/(-16) = -1/4

Answer: -1/4

Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1 B. x < -1 and x > 5
C. -5 D. X<-5 and x > 1

Answers

Given:

[tex]y=2x^2-8x-10[/tex]

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

[tex]y=2x^2-8x-10[/tex]

[tex]y=2(x^2-4x-5)[/tex]

[tex]y=2(x^2-5x+x-5)[/tex]

[tex]y=2(x(x-5)+1(x-5))[/tex]

[tex]y=2(x+1)(x-5)[/tex]

For zeroes, [tex]y=0[/tex]

[tex]2(x+1)(x-5)=0[/tex]

[tex]x=-1,x=5[/tex]

-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].

Interval        Selected Value      [tex]y=2(x+1)(x-5)[/tex]                      Sign

[tex](-\infty,-1)[/tex]                -2                  [tex]y=2(-2+1)(-2-5)=14[/tex]           +

[tex](-1,5)[/tex]                     0                   [tex]y=2(0+1)(0-5)=-10[/tex]              -

[tex](5,\infty)[/tex]                       6                  [tex]y=2(6+1)(6-5)=14[/tex]                 +

So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

Classify the shape as precisely as possible based on its markings.
A) Rhombus
B) Parallelogram
C) Quadrilateral
D) Rectangle

Answers

Answer:

C??...

Step-by-step explanation:

Answer: I put b. Parallelogram

Step-by-step explanation:

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