A random survey of teachers found that 224 of 395 elementary school teachers, and 126 of 266 high school teachers, were very satisfied with their work. Find a 95% confidence interval for the difference (elementary minus high school) in proportions of teachers who are very satisfied with their work.

Answers

Answer 1
Answer:

Answer: 95% confidence interval would be (0.013,0.167).

Step-by-step explanation:

Since we have given that

survey of teachers found that 224 of 395 elementary school teachers,

So, n₁ = 395

x₁ = 224

So, p_1=(224)/(395)=0.567

n₂ = 266

x₂ = 126

So, p_2=(x_2)/(n_2)=(126)/(266)=0.473

At 95% confidence level, z = 1.96

So, interval would be

(p_1-p_2)\pm z\sqrt{((p_1(1-p_1))/(n_1)+(p_2(1-p_2))/(n_2)}}\n\n=(0.567-0.473)\pm 1.96\sqrt{(0.567* 0.433)/(395)+(0.527* 0.473)/(266)}}\n\n=0.09\pm 1.96* 0.0394\n\n=0.09\pm 0.077\n\n=(0.09-0.077,0.09+0.077)\n\n=(0.013,0.167)

Hence, 95% confidence interval would be (0.013,0.167).


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An architect's compensation package includes the total cost of a $250-per-month health insurance plan, the total cost of a $35-per-month life insurance plan, and a salary of $55,000 per year. what is the yearly value of the compensation package

Answers

Answer:

Answer:

The answer is A $ 58,420

Explanation:

If we multiply the monthly benefits of health and life insurance combined we will get the annual value of them.

$35 + $250 = $285

$285*12 = $3420

We already know the annual salary package which is $55000, by adding annual salary to the above calculated annual benefits you will get the total annual value of total compensation.

$55000+$3420 = $58,420

Step-by-step explanation:

Have a good day;-)

Answer:

58,420

Step-by-step explanation:

Can someone help me out with this

Answers

Answer:

This is correct.

Step-by-step explanation:

(1)/(3) (2x - y) = z
help please right now​

Answers

Answer:

Step-by-step explanation:

on no

What is The greatest common factor of 42 and 96 I’ll give you brainliest

Answers

The greatest common factor of 42 and 96 is 6.

What is greatest common factor?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

42 = 2 x 3 x 7

96 = 2 x 2 x 2 x 2 x 2 x 3

Greatest common factor = 2 x 3 = 6

Learn more about greatest common factor here

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Answer:

6

Step-by-step explanation:

42 and 96

first we will find the factors of 42:

2 21

3 7

7 7

hence, factors of 42 are 2,7 and 3

then, we will find the factors of 96:

2 96

2 48

2 24

2 12

2 6

3 3

1

hence, factors of 96 are 2,2,2,2,2 and 3

Common factors are: 2 and 3

Highest common factor: 6

Why might Jules use a credit card rather than a check to make a purchase

Answers

Answer:

He does not have enough money in his checking account

Step-by-step explanation:

quizlet

Answer:

Same answer as the person above. He doesn't have enough money in his checking acc.

Step-by-step explanation:

Which number is both a factor and a multiple of 14

Answers

7 is the factor of 14 and 7 has 14 as its multiple.

What is Factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Given:

We have the Number 14.

So, the factors of 14 = 1, 2, 7, 14.

and, 7 can act as factor of 14.

also, 7 has multiple 14.

Hence, 7 is the required number.

Learn more about factors here:

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Answer:

7 is both a factor and a multiple