For many years, businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year. Suppose the survey was based on a sample of 800 companies likely to require higher employee contributions for health care coverage this year relative to last year. At 95% confidence, compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answer to four decimal places.) Compute a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answers to four decimal places.)

Answers

Answer 1

Answer:

Answer:

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

(0.5868 , 0.6532)

Step-by-step explanation:

Step(i):-

Given the survey was based on a sample of 800 companies

Given size 'n' = 800

A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year

sample proportion

p⁻ = 0.62

Step(ii):-

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.

$M.E= Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) }$

$M.E= 1.96\sqrt{(0.62 (1-0.62 )/(800) }$

M.E = 0.017 X 1.96

M.E = 0.03

Step(iii):-

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

$(p^(-) - Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) } , p^(-) +Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) })$

$(0.62 - 1.96\sqrt{(0.62 (1-0.62 )/(800) } ,0.62+1.96\sqrt{(0.62 (1-0.62 )/(800) }$

( 0.62 - 0.0332 , 0.62+0.0332)

(0.5868 , 0.6532)

Answer 2

Answer:

Final answer:

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage is approximately 0.0245. The 95% confidence interval for the proportion of companies likely to require higher employee contributions is (0.5955, 0.6445).

Explanation:

To compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage, we can use the formula:

Margin of error = Z * sqrt((p * (1-p)) / n)

where Z is the Z-score corresponding to the desired confidence level (95% in this case), p is the proportion of companies likely to require higher employee contributions, and n is the sample size. Substituting the given values into the formula, we have:

Margin of error = 1.96 * sqrt((0.62 * (1-0.62)) / 800)

Calculating this value gives us a margin of error of approximately 0.0245.

To compute the 95% confidence interval for the proportion of companies likely to require higher employee contributions, we can use the formula:

Confidence interval = p ± margin of error

Substituting the given values into the formula, we have:

Confidence interval = 0.62 ± 0.0245

Calculating this value gives us a confidence interval of (0.5955, 0.6445).

Learn more about Margin of error for a proportion here:

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Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer:

B. $B = (4,-2)$

Step-by-step explanation:

GIven that $A = (-2, 2)$ and $M = (1, 0)$ , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

$M = (1)/(2)\cdot A + (1)/(2)\cdot B$

The location of B is now determined after algebraic handling:

$(1)/(2)\cdot B = M - (1)/(2)\cdot A$

$B = 2\cdot M -A$

Then:

$B = 2\cdot (1,0)-(-2,2)$

$B = (2\cdot 1, 2\cdot 0)-(-2,2)$

$B = (2,0) -(-2,2)$

$B = (4,-2)$

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

$\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)$

Then the formula can be written as

x₂ = 2x - x₁ and y₂ = 2y - y₁

Then we have

x₂ = 2 × 1 + 2

x₂ = 4

y₂ = 2 × 0 - 2

y₂ = - 2

Then the coordinate of point B will be (4, -2).

Thus, the correct option is B.

More about the coordinate geometry link is given below.

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Find a diginacci sequence with no equal term to 11: quick answer please

Answers

Answer:

uhh hope this helps

Step-by-step explanation:

A Diginacci sequence is created as follows.

• The ﬁrst two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the ﬁrst 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two diﬀerent starting terms

which contains ﬁve consecutive terms that are even and not all identical

Both 2 and 3 is correct.

how much 45% acid solution should be mixed with a 30% acid solution to make 450 ml of a 40% acid solution?

Answers

We do as follows:

let x = amount of 45% solution
y = amount of 30% solution

overall balance => x + y = 450
acid balance => .45x + .30y = .40(450)

Solving simultaneously, we will have:

x = 300 mL
y = 150 mL

This is assuming that partial molar properties does not affect the volume greatly. Hope this answers the question. Have a nice day.

I'm having trouble answer this question

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the level of significance with degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the level of significance based on a sample size of n. (c) Determine the critical value(s) for a two-tailed test of a population mean at the level of significance based on a sample size of n.

Answers

Answer:

(a) The critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) The critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) The critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Step-by-step explanation:

We have to find the critical t values for each of the following levels of significance and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol ' $\nu$ ' which represents the degrees of freedom.

(a) A right-tailed test of a population mean at the α=0.01 level of significance with 15 degrees of freedom.

So, here the level of significance = 0.01

And the degrees of freedom = n - 1 = 15

Now, in the t table, the critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) A left-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 20.

So, here the level of significance = 0.05

And the degrees of freedom = n - 1

= 20 - 1 = 19

Now, in the t table, the critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) A two-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 13.

So, here the level of significance = $(0.05)/(2)$ = 0.025 {for the two-tailed test}

And the degrees of freedom = n - 1

= 13 - 1 = 12

Now, in the t table, the critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Find the answer for 10 + 10

Answers

Answer:20

Step-by-step explanation:

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