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

Evaluate x - 20 when x=3

Answers

Answer:

-17

Step-by-step explanation:

Plug in 3:

3 - 20 =

Solve:

3-20 = -17

Answer:

-17

Step-by-step explanation:

I replaced 3 for x, I solved the equation 3-20, which is equal to -17

I need Help please please

Answers

Answer:

the answer will be B

......

if 50% is 30 what is 75%​

Answers

the correct answer would be 45

That answer is 45 ask Siri

3 Prove that
cos130°+cos 110+ cos10=0​

Answers

We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2

So,

cos 130 + cos 110 + cos 10

cos 130 + 2cos (110+10)/2 × cos( 110-10)/2

cos 130 + 2cos 60 × cos 50

cos ( 180 - 50 ) + 2cos60 cos 50

We know, cos ( 180 - A ) = -cos A

2cos 60 cos 50 - cos 50

Also, cos 60 = 0.5

2×0.5 cos 50 - cos50

cos 50 - cos 50

0  = RHS.

Hence proved

What is the GCF of 35 and 47

Answers

Answer:

The GCF of 35 and 47 is 1

What is the equation of line m

Answers

Answer:

so I dont know what you mean by that

Step-by-step explanation:

there is no way for anyone to tell sorry

Which is the best estimate of 162% of 79? O 112 O 119 O 128 O 136​

Answers

Answer:

128

Step-by-step explanation:

You would multiply 79 by 1.62 to get the answer.

This would give you 127.98 which you would round up to 128.

Answer:

128

Step-by-step explanation:

A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.

Answers

Answer:

oof

Step-by-step explanation:

Blouse

The Alphabet

Congruence question will give brainliest

Answers

Answer:

A

Step-by-step explanation:

Write the expression
into words.
6 + x


plz help

Answers

Answer:

six plus x.

Step-by-step explanation:

Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

Solve 3b – 8 + 6 = 2(b + 6)

Answers

Answer:

b=14

Step-by-step explanation:

3b-2=2b+12

b-2=12

b=14

hi savina if u not give reply so I leave brainly​

Answers

What that’s confusing is it meant for a person

Answer:hope she/he replies

Step-by-step explanation:

the ratio of boys to girls in a class is 4:5 what frqction if the class are boys ​

Answers

Answer:

4/9 to 5/9

Step-by-step explanation:

So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.

Write an explicit formula for the sequence -13,-6,1,8, ...
A. an= -13n+7
B. an= -13+(n+7)
C. an= -13+7(n-1)
D. an= -13n+7

Answers

Answer:

7n-20 I believe

Step-by-step explanation:

hope this helps

Answer: A

lol need extra characters

i took the test btw

Solve the following equation for x.
5x + 15 = - 45

Answers

Answer:

-12

Step-by-step explanation:

5(-10)=-60

-60+15=

-45

Answer:

-12

Step-by-step explanation:

Reorder the terms:

15 + 5x = -45

Solving

15 + 5x = -45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + 5x = -45 + -15

Combine like terms: 15 + -15 = 0

0 + 5x = -45 + -15

5x = -45 + -15

Combine like terms: -45 + -15 = -60

5x = -60

Divide each side by '5'.

x = -12 :)

help please
what is the product?

Answers

Answer:

−10x4+17x2y−6y2-10x4+17x2y-6y2

or the second option

Getting points because you got your answer



10x+whatever

Item 6
At the beginning of the day, the temperature is -8°F. As the sun comes out, it warms up 19°F. What is the temperature once it warms up?
°F

Answers

Answer:

-8 + 19 = 11ºF

Step-by-step explanation:

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2

Answers

Answer:

64π

Step-by-step explanation:

no

Which number line shows 1 to 4 divided into fifths?

Answers

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

How many 1/ 3 pound hamburger patties can be made from 4 pounds of ground beef?

Answers

Answer:4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Each pound is equal to 3 of the 1/3 pound patties

multiply 3 by 4 and you get 12.

please answer asap don’t troll!!!

Answers

you will do as you said yes yes i is fine with me but i’m going on the right now so bye bye u it was correct that

one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​

Answers

Answer: Your going to have to correct your placing of your numbers.

-12 is value of b for equation 27x²+bx+8=0

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Please help me eith this Ive asked like six times
Also please explain in depth bc these questions in general confuse me

Answers

Answer: WX = 12

Step-by-step explanation:

WX = 2VX

WX = 2 (6)

WX = 12

This is what I was thought in class so I hope it's right..

write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Please help.. Please. Is this a positive trend or negative trend or no trend ​

Answers

Answer:

it's a no trend cause its literally nothing but dots

System of Equations : Money

Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.​

Answers

Answer:

18 nickles 19 pennies

Step-by-step explanation:

value of 1 penny=$0.01

value of 1 nickle=$0.05

0.01p+0.05n=1.09

p+n=37

there are two methods for this system

I.substitution

p+n=37

p=37-n

we replace p in the first relation

0.01(37-n)+0.05n=1.09

0.37-0.01n+0.05n=1.09

0.04n=0.72

n=18 nickels

p+18=37

p=37-18=19 pennies

II.reduction

0.01p+0.05n=1.09

p+n=37

we multiply the second equation by 100

p+5n=109

p+n=37

we calculate the difference between the two relations

p-p+5n-n=109-37

4n=72

n=18

p+18=37

p=19

Can someone help with the answer?

Answers

the correct answer is d!

What is the sum of 2x+1 and its opposite?

Answers

Answer:

Zero. The sum of anything and it's opposite is zero, that's how an opposite is defined . In this case, the opposite of 2x+1 is -(2x+1)=-2x-1 by the distributive property . Adding like terms, 2x+-2x+1+-1=0+0=0.

0 (i dont have a proper explanation)

true or false need help asap 67%
33%
32% which one is true

Answers

Answer:

You need to attach something to this?

Step-by-step explanation:

I could help you but theres nothing here to see?

I don’t seeeeee a picture I only seeeeee percents
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