The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for respondents below:
Reputation of Company
Quality of Management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A. Use level of significance and test for independence of the quality of management and the reputation of the company. Compute the value of the test statistic (to 2 decimals).
B. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\text{The data given for the quality measurement and other criteria can be seen below:}[/tex]

Quality management      Excellent      Good      Fair      Total

Excellent                             40                   25         5             70

Good                                   35                    35        10            80

Fair                                       25                   10         15             50

Total                                    100                   70        30           200

The null and alternative hypothesis:

[tex]\mathbf{H_o: \text{the quality management and reputation are independent} }[/tex]

[tex]\mathbf{H_a: \text{the quality management and reputation are not independent} }[/tex]

The expected value is calculated by using the formula:

[tex]E=\dfrac{row \ total \times column \ total }{table \ total}[/tex]

After using the formula to calculate the table above; we have:

The expected values of the data to be:

Quality management     Excellent         Good      Fair      Total

Excellent                            35                  24.5       10.5      70

Good                                  40                   28         1.2         80

Fair                                     25                  17.5        7.5         50

Total                                   100                  70        30           200

Degree of freedom = ( row - 1 ) × ( column -1 )

[tex]= (3 - 1 ) \times (3 -1)[/tex]

[tex]= 2\times 2[/tex]

[tex]=4[/tex]

[tex]\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}[/tex]

Decision rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than the ∝

Conclusion: We reject the [tex]\mathbf{H_o}[/tex] and conclude that quality management and reputation are not independent.

(B)[tex]\text{The P-value here implies that in case that there is no dependence between the two ratings, }[/tex][tex]\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}[/tex]

[tex]\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}[/tex][tex]\mathbf{0.0019}[/tex]


Related Questions

ill mark brainlist plss help

Answers

the answer is 196 inches squared
since the tile is a square, both side lengths are 14 in. this means we have to multiply 14 by 14 to get the area

What is the solution to 4x+63 ≤ 18?​

Answers

Answer:

[tex] - \frac{45}{4} [/tex]

the answer is x ≤ -45/4

pls someone answer this...​

Answers

Answer:

p=10

Step-by-step explanation:

3p+10+5p=90

8p+10=90

8p=80

p=10

Answer:

p = 5

Step-by-step explanation:

Th angles are complimentary, meaning that they equal 90° if put together.  This mean that you can set them equal to eachother.  

3p + 10 = 5p  

Subtract 3p from both sides.

10 = 2p

Divide both sides by 2.  

p = 5  

You can check you work by plugging in 5 for p.  

3(5) + 10 = 5(5)

15 + 10 = 25

25 = 25

Therefore, p = 5.  

Sorry if I'm wrong, but I hoped this helped.  Have a great day/night!  

 

Which number line shows all the values of x that make the inequality -3x+1<7 true?

Answers

Answer: the answer is b

Step-by-step explanation: because open is< or >

The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

What is the number line?

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The given inequality in the problem is,

[tex]-3x+1 < 7[/tex]

Subtract 1 both side of the equation and solve it further,

[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]

Divide with number 3,

[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]

Change the sign of the inequality by filliping the inequality sign,

[tex]x > -2[/tex]

Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.

Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

Learn more about the number line here;

https://brainly.com/question/24644930

#SPJ2

Find the height of the parallelogram shown below, if the area is 2115.
45
?
51

Answers

Answer:

47

Step-by-step explanation:

2115/45=47

Evaluate the equation: 27m=9.45

Answers

Answer:

m = 0.35

Step-by-step explanation:

Divide 9.45 by 27

m=0.35 this is the correct answer.

What slope is being shown in the equation:
y-9=-3(x+6)

Answers

The slope is -3. The slope equals the coefficient of x and in this equation that would be -3.

Please help me. Will mark you brainliest

Answers

Step-by-step explanation:

dont type the link he is spamming it. I dont know the answer because I cant see the small type but if you download bartleby you can get the answer by professions (10 free) no credit card in 34 minutes and this is not a advertisement btw

pls help me asapp quick easy 10 points

Answers

It’s goes by 7.5
Just by looking at the chart you can see x-axis to y- axis for example, point for 2 ,you can divide to find out the answer. So it’s 7.5

Help memmememmememenememmeemememmemememememmemememememmeme

Answers

Answer:

165438339828369373938+50

I need help please.

Answers

Answer:

A

Step-by-step explanation: its questionable but i think its A

write the percent that shows how much of the box is shaded in?

question is it 19%?

Answers

Yes the correct answer is 19%

Answer:

19%

Step-by-step explanation:

it's 19% because the box has 100 squares and 19 of them are shaded in

Any help anyone? Running out of time

Answers

What are the choices

what is the slope of line I

Answers

Answer: 2

Step-by-step explanation:

Every set of point is found if you go up twice and once to the right 2/1 = 2

Equation = Y = 2x + 4

6 in
5 in
14 in
Area =

Answers

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

Determine whether the following sequence is geometric. If so, find the common ratio.
1, -5, 25, - 125, ...

Answers

Geometric sequence

-5 each term is multiplied by -5

-5is the answer I think

What is the value of this expression? 42−{(7+14)÷7}×4
A. 6
B. 28
C.30
D. 156

Answers

Answer:

42−{(7+14)÷7}×4

42 - {21 ÷ 7} x 4

42 - 3 x 4

42 - 12

30

Step-by-step explanation:

C
Add 7+14 first and then divided by 7×4 then subtract it by 42

letttttt gooooo keep it going gurl

Answers

Answer:

a

Step-by-step explanation:

the other ones are incorrect

how do I solve this ​

Answers

Answer:

f(x) = 2x^3 - 6x^2 - 20x + 48

Step-by-step explanation:

A polynomial with zeros a, b, c, etc., is the product of (x - a)(x - b)(x - c)...

f(x) = (x + 3)(x - 2)(x - 4)

f(x) = (x^2 + x - 6)(x - 4)

f(x) = x^3 - 4x^2 + x^2 - 4x - 6x + 24

f(x) = x^3 - 3x^2 - 10x + 24

This polynomial function has the zeros listed in the problem.

Now we need to make sure it includes the point (6, 144).

f(x) = (x + 3)(x - 2)(x - 4)

f(6) = (6 + 3)(6 - 2)(6 - 4)

f(6) = 9 * 4 * 2

f(6) = 72

The polynomial function has point (6, 72). We want it to include the point (6, 144). We multiply the function by 2.

f(x) = 2(x^3 - 3x^2 - 10x + 24)

f(x) = 2x^3 - 6x^2 - 20x + 48

The function f(x)=a(x+3)(x-2)(x-4) has those zeros. Plug in the coordinates and solve for a=2.

f(x)=2(x+3)(x-2)(x-4)
You can also multiply that out if you want to

please help asap !!! In the graph shown above, which line has a slope value less than −2

Answers

Answer: Line J  

A is the answer

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $39,000 and $54,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (Round your answers up to the nearest whole number.) What is the planning value for the population standard deviation

Answers

Answer:

The planning value for the population standard deviation is $3750.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

95% confidence interval between $39,000 and $54,000.

This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So

[tex]4\sigma = 54000 - 39000[/tex]

[tex]4\sigma = 15000[/tex]

[tex]\sigma = \frac{15000}{4}[/tex]

[tex]\sigma = 3750[/tex]

The planning value for the population standard deviation is $3750.

A questionnaire is developed to assess women's and men's attitudes toward using animals in research. One question asks whether animal research is wrong and is answered on a 7-point scale. Assume that in the population, the mean for women is 5, the mean for men is 4, and the standard deviation for both groups is 1.5. Assume the scores are normally distributed. If 12 women and 12 men are selected randomly, what is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Answers

Answer:

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Women:

Mean 5, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{W} = 5[/tex]

[tex]s_{W} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

Men:

Mean of 4, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{M} = 4[/tex]

[tex]s_{M} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

What is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men?

This is:

[tex]P(W - M) \geq 1.5[/tex]

Subtraction:

[tex]\mu_{W-M} = \mu_{W} - \mu_{M} = 5 - 4 = 1[/tex]

[tex]s_{W - M} = \sqrt{s_{W}^2+S_{M}^2} = \sqrt{0.433^2+0.433^2} = 0.6124[/tex]

The probability is 1 subtracted by the pvalue of Z when X = 1.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu_{W-M}}{s_{W - M}}[/tex]

[tex]Z = \frac{1.5 - 1}{0.6124}[/tex]

[tex]Z = 0.82[/tex]

[tex]Z = 0.82[/tex] has a pvalue of 0.7939

1 - 0.7939 = 0.2061

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

One gallon of gas costs $3.60 and you buy m gallons. How much do you spend on gas?

Answers

Answer:

3.60m

Step-by-step explanation:

Basically if 1 bought i gallon its 3.60

2= 7.2 dollars and so forth

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes??? someone help

Answers

Answer:

7 pairs of shoes costs $140

Step-by-step explanation:

80/4 = $20 per pair of shoes

20* 7 = $140

7 pairs of shoes costs $140

Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$

Step-by-step explanation:


The Venn diagram shows the number of elements in each set.
Find n (P'ng

Answers

Answer:

Option C. 10

Step-by-step explanation:

From the question given above, the following data were obtained:

P = {3}

Q = {10}

PnQ = {5}

(PuQ)ᶜ = {9}

PᶜnQ =?

Next, we shall determine the complement of P (Pᶜ).

Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:

Universal set (U) = {3,5,10,9}

P = {3}

Pᶜ = {5,10,9}

Finally, we shall determine PᶜnQ. This can be obtained as follow:

Q = {10}

Pᶜ = {5,10,9}

PᶜnQ = Elements common to both Pᶜ and Q.

PᶜnQ = {10}

What’s is the solution

Answers

Answer:

(6, 3)

Step-by-step explanation:

It is hard to see the graph since it got cut, but if I look at it the two lines intersect on (6, 3) which would be your answer. Hope this helps, thank you :) !!

can someone help me ? Finding the slope graphically! Please hurry

Answers

Answer:

Step-by-step explanation:

they are asking for the triangle the "hangs " off the line, and so that it's in integer units.

by looking at the graph, I think if you were to draw a line on the y =4  ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it..  :/   get it?

then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run...  :?   I think this will be tough to get  

which system of inequalities is shown

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!

Answers

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

Suppose you roll a special 43-sided die. What is the probability that one of the following numbers is rolled? 29 27 5

Answers

3/43 cuz 29, 27, and 5 are only three out of 43 different numbers
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