In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.

Answers

Answer 1

From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.

The proportion and the standard error for each sample are given by:

[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]

[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]

The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:

[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]

Hence, the standard error is of 0.0558.

A similar problem is given at https://brainly.com/question/25649070


Related Questions

You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary

Answers

The expected value of the game is the mean value of the game

The expected value of the game is $9

For the first spinner;

The probability to spin 2 is 1/4The probability to spin 1 is 3/4

For the second spinner;

The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4

So, the probability of spinning a 2 and a vowel is:

[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]

The earning for spinning a 2 and a vowel is $39.

So, the expected earning is:

[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]

So, the probability of spinning a 2 and a consonant is:

[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]

The earning for spinning a 2 and a consonant is $26.

So, the expected earning is:

[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]

So, the probability of spinning a 1 and a vowel is:

[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]

The earning for spinning a 1 and a vowel is $9.

So, the expected earning is:

[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]

So, the expected value of the game is:

[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]

[tex]\mathbf{Game =9}[/tex]

Hence, the expected value of the game is $9

Read more about expected values at:

https://brainly.com/question/13499496

Someone pls help me with these worksheets.



(Please answer properly, if u don't know, just ignore it)

Answers

Answer:

i wrote answer of the question 1 to 4 but i don't know the answer to 5

Answer: 1) (3,0) 2) (4,2) 3) (5,1) not sure about 4 and 5

1) (3,7/2) 2) (1,-4) 3) (-3,2) im bad at word problems, sorry.

Step-by-step explanation: all i can say without sounding confusing is divide on both sides!! <3

A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

180

Step-by-step explanation:

all 3 angles of all triangles sum to 180

if one angle = 60, the other two angles sum to 120

a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120

3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees

5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees

45+75 = 120

120+60 = 180 degrees = sum of all 3 angles

in case you need an explanation and can I be get brainlest?

how do i convert 5/6 into a decimal

Answers

~fractions

=============

5/6

= 5 ÷ 6

= 0,83333333333

rounded to

= 0,833 ✔️

~ nice to help you ^^

Answer:

⅚ = ...

= 5 ÷ 6

[tex] \approx \bold{0.833}[/tex]

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?

Answers

15 days

Step-by-step explanation:

The half-life equation is given as

[tex]m(t) = m(0)e^{-0.073t}[/tex] (1)

where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:

[tex]e^{-0.073t} = \dfrac{m(t)}{m(0)}[/tex]

Taking the natural logarithm of both sides to get

[tex]\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex] (2)

Recall the following properties of logarithms:

[tex]\ln{A}^b = b\ln{A}[/tex]

[tex]\ln{e} = 1[/tex]

We can rewrite Eqn(2) as

[tex]-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Solving for t, we get

[tex]t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is

[tex]t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)[/tex]

[tex]\:\:\:\:\:= 15\:\text{days}[/tex]

Substitution method

-3x + 3y = 4

-x + y = 3

Answers

See photo below hopefully it helps!

emily ran 3 3/4 miles in 5 hours what unit rate for miles per hour did she run

Answers

Answer: The answer is 3

Step-by-step explanation:

:]

An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.

Answers

Answer:

Drayven has more

Step-by-step explanation:

If you look at the fractions through a drawing you would see that my claim is correct.

which number line represents the solution of 4x - 9 > - 21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Answer:

D

Step-by-step explanation: srry if im wrong

A population of bacteria is initially 2,000. After three hours the population is 1,000.

Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.

Answers

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

i need help on this math problem

Answers

Answer:

I can't see the problem I am blind but still very hard to see it's not quite clear

What is 11 divided by 1/4

Answers

44 i think if not really sorry

Anya brought 30 tocos for 36 dollars what it the unit rate

Answers

Answer:66

Step-by-step explanation:

The correct answer is $1.20
You would divide the amount of the item (30) by the price (36) (36/30) and get 1.20

domain for f(x) = -0.25(x − 4) 2 − 6

Answers

Answer:

The domain will be (-8,8), {x|x E R}

Step-by-step explanation:

The -8,8 has to be sideways on the right. Thats the answer.

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

☆Answer :

a = 18

d = 16 - 18 = - 2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta financially affected by the split

Answers

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X  (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in https://brainly.com/question/13981349

6.2 Margin of error and the confidence interval. A study of stress on the campus of your university using the College Undergraduate Stress Scale (CUSS) reported an average stress level of 1123 (a higher score indicating more stress) with a margin of error of 43 for 95% confidence. The study was based on a random sample of 400 undergraduates. a. Give the 95% confidence interval. b. If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 43

Answers

Using confidence interval concepts, it is found that:

a. The 95% confidence interval is (1080, 1166).

b. The margin of error would be greater than 43.

Item a:

The interval is the sample mean plus/minus the margin of error, hence:

[tex]1123 - 43 = 1080[/tex]

[tex]1123 + 43 = 1166[/tex]

The 95% confidence interval is (1080, 1166).

Item b:

The margin of error is direct proportional to the critical value.The higher the confidence level, the higher the critical value, and thus, the higher the margin of error.

Hence: The margin of error would be greater than 43.

A similar problem is given at https://brainly.com/question/25675821

Which inequality is graphed below?


A- y<1/4x-1

B- y>1/4x-1

C- y<_ 1/4x-1

D- y>_ 1/4x-1

Answers

Step-by-step explanation:

It is represented by ,

=> y ≥ 1/4x -1

Convert
161 oz = ____ lb ______oz

Answers

Answer:

161oz = 10.0625 (then you round)

Step-by-step explanation:

10.63lb which is rounded

Help help help help help help math sucks help

Answers

-24,16
16,8
-8,-24
Hope this helps.

What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?​

Answers

Step-by-step explanation:

the average rate of change of a function f(x) between two values of x is

(f(x2) - f(x1)) / (x2 - x1)

f(x) = 20× (1/4)^x

x1 = 1

x2 = 2

f(x2) = 20× (1/4)² = 20/16 = 5/4

f(x1) = 20× (1/4)¹ = 20/4 = 5

(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4

the average rate of change is -15/4.

Review:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]

Answers

Answer:

0.25-1/4

0.14-7/50

1.4-7/5

0.4-2/5

0.375-3/8

-3/5 divided by 5
full steps

Answers

Answer:

-3/25

Step-by-step explanation:

[- 3 / 5 ] / 5

- 3

5

-------

5

1

-------------------

- 3 x 1 = -3

5 x 5 = 25

-------------------

-3 / 25

¿De qué número es 60 el 80%?

Answers

Answer:

48

Step-by-step explanation:

A garden table and a bench cost $907 combined. The garden table costs $43 less than the bench. What is the cost of the
bench?

Answers

907 - 43 = 864 / 2 = 432: 907 - 432 = 475

The garden table costs $432.

The bench costs $475.

475 + 432 = 907

I hope this helps! :)

7. Jairaj has 20 50-cent and 10-cent coins altogether. He has a total of $6.80 How many 50-cent coins does he have?​

Answers

Jairaj has 13 50 cent coins

Answer:

He will have 8 50-cent coins

Step-by-step explanation:

Let x = the number of 10-cent coins

Let y = the number of 50-cent coins

x + y = 20         y = 20 - x

[Set up an equation] .10x + .50y = 6.80

[Multiply both sides by 100] 10x + 50y = 680

[Plug-in] 10x + 50(20 - x) = 680

[Multiply] 10x + 1,000 - 50x = 680

[Combine like terms & subtract 1,000 from both sides] -40x = -320

[Divide both sides by -40] x = 8 coins

Have a nice day! - hopefully this is correct, I got a bit turned around for a bit lol

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Pls sove brailest will be given

Answers

Answer:  6a3b3

Step-by-step explanation:

Reformatting the input:

Changes made to your input should not affect the solution:

(1): "0.6" was replaced by "(6/10)".

STEP 1:

Equation at the end of step 1

       6

 0-(((——•(a2))•b)•(0-(2•5ab2)))

      10

STEP 2:

           3

Simplify   —

           5

Equation at the end of step 2:

         3

 0 -  (((— • a2) • b) • ( -2•5ab2))

         5

STEP 3:

Equation at the end of step 3

        3a2

 0 -  ((——— • b) • ( -2•5ab2))

         5

STEP 4:

Multiplying exponential expressions :

4.1    a2 multiplied by a1 = a(2 + 1) = a3

Multiplying exponential expressions :

4.2    b1 multiplied by b2 = b(1 + 2) = b3

Canceling Out:

4.3      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step 4:

 0 -  -6a3b3

STEP 5:

Final result :

 6a3b3

someone please help me on this anyone pls no link :(​

Answers

9514 1404 393

Answer:

  The correct answer is marked. (8·3)

Step-by-step explanation:

The order of operations requires that you start with by evaluating expressions in parentheses. Within parentheses, the order of operations applies, so you need to do multiplication before addition.

In this expression, the multiplication operation inside the parentheses is performed first. That is, you first compute 8·3.

_____

Additional comment

After that, you do the subtraction, to get ...

  11 ÷ (-12) +2⁴

Then the exponential term is evaluated, and you have ...

  11 ÷ (-12) +16

The division will result in a fraction, making it ...

  (-11/12) +16

And, finally, the addition gives you ...

  15 1/12

Simplify the linear expression.
−2x+3(−5x+1)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's simply the given expression ~

[tex] - 2x + 3( - 5x + 1)[/tex]

[tex] - 2x - 15x + 3[/tex]

[tex] - 17x + 3[/tex]

Kaleb is ordering food for his siblings. Each burger costs $4 and each order of fries cost $2 each. Kaleb wants to spend at most $20. Let x represent burgers and y represent fries. a. Write a linear inequality to find the number of burgers and fries Kaleb can buy.

Answers

Answer:

4x + 2y ≤ 20

Step-by-step explanation:

x = burger

y = fries

a.    4x + 2y ≤ 20      at most means ≤

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