MATHEMATICS COLLEGE

According to a survey conducted in a certain year by the Federal Communications Commission (FCC) of 3005 adults who were home broadband users, 34.5% of those surveyed had switched their service over the past 3 years. Of those who had switched service in the past 3 years, 51% were very satisfied, 39% were somewhat satisfied, and 10% were not satisfied with their service. Of the 65.5% who had not switched service in the past 3 years, 48% were very satisfied, 43% were somewhat satisfied, and 9% were not satisfied with their service.(a) What is the probability that a participant chosen at random had not switched service in the past 3 years and was very satisfied with their service?

(b) What is the probability that a participant chosen at random was not satisfied with their service?

Answers

Answer 1

Answer:

Answer:

(a) The probability is 31.44%

(b) The probability is 9.345%

Step-by-step explanation:

The probability for part (a) is calculated as a multiplication of:

65.5% * 48% = 31.44%

Where 65.5% is the percentage of participants that had not switched service in the past 3 years and 48% are the percentage of those 65.5% that were very satisfy. So, the 31.44% of the participants had not switched service in the past 3 years and were very satisfied with their service.

Then, for part b, we have 2 cases:

Case 1: A person that had not had switched service in the past 3 years and was not satisfied with their service
Case 2:A person that had not switch in the past 3 years and was not satisfied with their service.

So, the probability is calculated as a sum of these two probabilities.

Therefore, the probability for case 1 is calculated as:

34.5% * 10% = 3.45%

Where 34.5% is the percentage of participants that had switched service in the past 3 years and 10% are the percentage of those 34.5% that were not satisfy.

At the same way, the probability for case 2 is:

65.5% * 9% = 5.895%

Finally, the probability that a participant chosen at random was not satisfied with their service is the sum of 3.45% and 5.895%. That is:

3.45% + 5.895% = 9.345%

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I need an explanation so I can understand this because am very confused

Answers

Answer:

Doesn’t go though origin

Step-by-step explanation:

It’s non proportional because the line doesn’t go though (0,0) being the origin

hope this helped :)

(if you still don’t understand ill try to explain further in the comments)

Consider the following analogy: You are a hiring manager for a large company. For every job applicant, you must decide whether to hire the applicant based on your assessment of whether he or she will be an asset to the company. Suppose your null hypothesis is that the applicant will not be an asset to the company. As in hypothesis testing, there are four possible outcomes of your decision: (1) You do not hire the applicant when the applicant will not be an asset to the company, (2) you hire the applicant when the applicant will not be an asset to the company, (3) you do not hire the applicant when the applicant will be an asset to the company, and (4) you hire the applicant when the applicant will be an asset to the company. 1. Which of the following outcomes corresponds to a Type I error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You do not hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will not be an asset to the company.
D. You hire the applicant when the applicant will be an asset to the company.
2. Which of the following outcomes corresponds to a Type II error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will be an asset to the company.
D. You do not hire the applicant when the applicant will not be an asset to the company.
As a hiring manager, the worst error you can make is to hire the applicant when the applicant will not be an asset to the company. The probability that you make this error, in our hypothesis testing analogy, is described by:________.

Answers

Answer:

1. A. You hire the applicant when the applicant will not be an asset to the company.

2. C. You do not hire the applicant when the applicant will be an asset to the company.

Step-by-step explanation:

1. The type I error happens when the null hypothesis is rejected when it is true, in this way we know that the null hypothesis is that the new employee will not be active for the company, so option B is rejected, because it refers that the Applicant if he will be active or for the company, option C is rejected because the inactive employee is rejected, accepting the null hypothesis, option D is rejected because the contracted applicant if active, so the correct answer is A, in which the inactive applicant is hired.

we know that the type II error occurs when the null hypothesis is accepted, being this false, we know that the null hypothesis is to hire an inactive applicant for the company, so option A is not correct, in which the null hypothesis is accepted taking it as true, option B is rejected, in which the contract is made to an active applicant, so the null hypothesis is false and option D is rejected, in which the null hypothesis is rejected, therefore the correct answer It is the C in which the active applicant is not hired.

Answer:

1. Option A

2. Option C

Step-by-step explanation:

The null hypothesis is that the applicant will not be an asset to the company, thus you do not hire such applicant

The alternative hypothesis is that the applicant will be an asset to the company and you then hire such applicant.

A type I error occurs when the researcher rejects the null hypothesis when true.

A type II error occurs when the researcher fails to reject the null hypothesis when it is not true.

1. Type I error:

You hire the applicant when the applicant will not be an asset to the company

2. Type II error:

You do not hire the applicant when the applicant will be an asset to the company.

3. Type I error because you rejected the null hypothesis to not hire when the applicant will not be an asset to the company.

the larger angle of two complementary angles is four times as large of the smaller angle find the measurement of the smaller angle

Answers

The answer is: 18° .
__________________________________________________
Explanation:
________________________________
x + 4x = 90 ; solve for "x"
____________________________
5x = 90 ;
____________________________
Divide EACH SIDE of the equation by "5"; to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________________________
5x / 5 = 90 / 5 ;
___________________________________________________
x = 18 ; The answer is: 18° .
_____________________________________________________

5*Please answer this correctly very urgent!

Answers

Answer:

1 3/15 - 5/15

Step-by-step explanation:

Hope this helps. PS the / sign is supposed to be for the fraction.

Step-by-step explanation:

1 1/5 - 1/3 = 0.86

Hope I helped. The only way I know how to dot this is in decimal form sorry.

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.

Answers

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

$CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))$

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

$t_(\alpha/2, (n-1))=t_(0.05/2, 49)=2.000$

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

$\bar x=(1)/(n)\sum {x}=(1)/(50)* [6+4+6+...+9+6]=6.34\n\ns=\sqrt{(1)/(n-1)\sum (x-\bar x)^(2)}=\sqrt{(1)/(50-1)* 229.22}=2.163$

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

$CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))$

$=6.34\pm 2.00*(2.163)/(√(50))\n\n=6.34\pm 0.612\n\n=(5.728, 6.952)\n\n\approx(5.7, 7.0)$

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

The model represents an equation. What value of X makes the equation true?Answers are: -15
-3
15
3
Please help.

Answers

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

$3x + 6 = 2x + 9$

Solve for x

$3x + 6 - 2x = 2x + 9 - 2x$ (Subtracting 2x from both sides of the equation)

$x + 6 = 9$

$x + 6 - 6 = 9 - 6$ (subtracting 6 from both sides of the equation)

$x = 3$

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