National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.

Answers

Answer 1

Answer:

98% C.I. = [-0.1270, 0.0994]

Step-by-step explanation:

Here

p1= proportion of men smokers

p1= 45/175= 0.2571

p2= proportion of women smokers

p2= 42/155= 0.2709

1)  Choose the significance level ∝= 0.02

2) The formula for confidence interval is

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

and

(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

3)  The z value is 2.05

4) Calculations:

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=-0.1270 ( using calculator)

And

(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=0.0994  ( using calculator)

and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)


Related Questions

I will reward you handsomely with a reward of Brainliest and some points and a 5 star and thanks if you answer these all correctly

Answers

1. 810  

2. 89%

3. 624

4. 100

5. 960

6. 165

Michael has $12.50 to buy school supplies. He spends $3.49 at one store for a package of glue sticks, but he still needs to buy for pens and a notebook. At the next store, he finds pens for $1.49 each. What is the most he can spend on a notebook if he buys the 3 pens? PLEASE HELP!

Answers

Answer: $ 4.54

Step-by-step explanation:

If ΔABC ≅ ΔDEF, find the measure of ∠B.

Answers

Answer:

I believe it is 67 degrees

Step-by-step explanation:

Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.

Guided Practice


The equation s = p – 0.15p represents the sale price s of an item with an original price p, after a 15% discount. A T-shirt costs $12. What is the sale price?



A.
$142.20



B.
$11.85



C.
$13.80



D.
$10.20



THE ANSWER IS NOT: B.
$11.85

Substitute for p and solve for s.

s==p−0.15p12−0.15(12)

Answers

It’s d because 12-15%=10.20

The exchange at a post office is £1 =€1.17
How many euros would you get for £280

Answers

Answer:

327.6 Euros

Step-by-step explanation:

The exchange rate is 1 = 1.17 so to find euros multiply the total pounds by 1.17

280 * 1.17 =

327.6

increase £196 by 9%


old old working out need asap​

Answers

215.6 euro is the answer to your question

Answer:

£213.64

Step-by-step explanation:

You do 196(0.09)

That's 17.64

The you add the two

196+17.64

The way I got 9 was from 9%.

To make it in decimal form you have to move the decimal over two places.

Hope this helps

Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 2.2 calls per minute What is the probability of receiving at least 2 calls during a one-minute interval? What is the probability that at most 2 minutes elapse between 1 call and the next

Answers

Answer:

The answer is "0.6227 and 0.5971".

Step-by-step explanation:

[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]

                  [tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]

[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]

[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]

                  [tex]=1-emp1-2|2.2\\\\=0.5971[/tex]


a) What is the mean?
b) What is the median?
c) What is the mode?

Answers

Mean is 4
Median is 3
Mode is 3

find the value of given expression

[tex] \sqrt{645 \times 645} [/tex]

Answers

[tex]208012.5[/tex]

Step-by-step explanation:

[tex] \sqrt{645 \times 645} [/tex]

[tex] = \sqrt{416025} [/tex]

[tex] = 208012.5[/tex]

Answer:

√{645×645}=√645²=±645 is your answer

Mary Beth is making 36 flower bouquets. 5/6 of the bouquets are tulips and the rest are roses. How many bouquets are roses?

Answers

Answer:

6

if 5/6 are tulips, that mean 1/6 are roses. you can find 1/6 of 36 by dividing by 6. 36÷6=6

More trig ratios see attachment

Answers

Answer:

TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15

Step-by-step explanation:

Tan = opposite/adjacent, so 9/12

WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15

Tan again, is opposite/adjacent, so 12/9

Cos is adjacent/hypotenuse, so 12/15

Hopefully this helps! Let me know if you have any questions

PLEASE HELP MEEE :((((((((

Given the polynomial 21x 4 + 3y - 6x 2 + 34


What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
What polynomial must be added to it to obtain a first degree polynomial?

Answers

Answer:

I don't know

Step-by-step explanation:

ok k ggceyubvsxhik n

WRITE THE EXPANDED FORM OF THE EXPRESSION
-5/8 (y+x) =

Answers

Answer:

-5/8x -5/8y

Step-by-step explanation:

Use the distributive property to expand

Please help me solve.
x^2-11x+19= -5

Answers

Answer:

x = 3 or x = 8

Step-by-step explanation:

X^2-11x+19=-5
So at first this is a quadratic equation
So h have to make that the equation equal 0 so X^2-11x+19=-5
+5 to other side

X^2-11x+19+5=0
X^2-11x+24=0
Open to bracket
Solve by factorizing
(X-8) (x-3)
So x = 8 or x=3


What is the volume of the composite object below?

Answers

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

6+6+75millllllliioooon

Answers

Answer:

75,000,012

Step-by-step explanation:

enjoy, i guess

If a cordinate set (x,y) has two different scale factors this is a valid transformation..
A-yes
B-no
C-maybe​

Answers

I’m going to say A.yes but I’m not sure sorry.

solve the inequality: PLS SHOW YOUR WORK PLEASE

-45 < 5(p-2)

Answers

Step-by-step explanation:

Given

-45 < 5(p-2)

Dividing both sides by 5

9 < p - 2

Adding two on both sides

9 + 2 < p - 2 + 2

11 < p

or

p > 11

Hope it will help :)❤

find the value of variable x.​

Answers

Answer:

9.5

Step-by-step explanation:

[tex]\frac{x}{19} = sin 30^o\\\implies \frac{x}{19} = 0.5\\\implies x = 19 * 0.5\\\implies x = 9.5[/tex]

Find the discriminant of x2 – 5.2 + 2.

Answers

Answer:

Step-by-step explanation:

x² - 5.2x + 2

Discriminant = (-5.2)² - 4 ⋅ 1 ⋅ 2 = 19.04

Jacob has a bag of marbles that contains 12 red, 5 blue, 8 green.

What is the probability he will select a blue marble?

Answers

Answer:

1:5

Step-by-step explanation:

Answer:

Blue has the least amount of marbles

Step-by-step explanation:

Red has the most, green has 8, but still more than blue. Blue has the least, and the human mind is attracted to things out of the ordinary. It is likely that our friend Jacob will choose a blue marble!

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!

Jake wants to find out what his customers think of his new recipe. which is the best group survey to find this information?

Answers

what are the answer choices?
Where’s the information?

Please explain why the correct answer is correct :)

Answers

Answer: your anawer is D

Step-by-step explanation:

Can someone help?

Solve the following equation for all values of x. Be sure to check for extraneous roots.

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, let's multiply both sides by [tex]\sqrt{x+11}[/tex]. If we do this, we would have:

[tex]x-1=\frac{1}{\sqrt{x+11}}\cdot\sqrt{x+11}[/tex]

The [tex]\sqrt{x+11}[/tex] would cancel out and we would be left with:

[tex]x-1=1[/tex]

If we add 1 on both sides, we would get:

[tex]x=2[/tex]

Hope this helps!!!

please help i’ll give brainliest if you help thanks

Answers

4b.



This is the answer

Question is in the picture!

Answers

Answer:

[tex]\displaystyle m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (80, 20)

Point (120, 30)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{30-20}{120-80}[/tex][Slope] Subtract:                                                                                              [tex]\displaystyle m=\frac{10}{40}[/tex][Slope] Simplify:                                                                                               [tex]\displaystyle m=\frac{1}{4}[/tex]

Each side of a square courtyard is 17 yards long. It costs $28.73 per yard to replace the brick wall around the courtyard. How much would it cost to replace the brick wall?​

Answers

Answer

1953. 64

Step-by-step explanation:

ASAP THIS NEEDS TO BE DOEN IN MY LIVE CLASS CRIES

Answers

Answer:

2

Step-by-step explanation:

its hard to type

Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =

Answers

The anwr to this is 23

An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.

Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'

Using the point (0, -2):

When x = 0, y = -2.

We can substitute these values into the equation:

-2 = a(0 - r)(0 - s)

Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.

Using the point (1, 0):

When x = 1, y = 0.

Substituting these values into the equation:

0 = a(1 - r)(1 - s)

Simplifying, we get: 0 = a(1 - r)(1 - s).

Now, we have two equations:

-2 = ars (Equation 1)

0 = a(1 - r)(1 - s) (Equation 2)

From Equation 1, we can solve for 'a' in terms of r and s:

a = -2 / rs.

Now, substitute this value of 'a' into Equation 2:

0 = (-2 / rs)(1 - r)(1 - s).

To make further progress, we can divide both sides by -2:

0 = (1 / rs)(1 - r)(1 - s).

Next, to eliminate the fractions, multiply both sides by rs:

0 = (1 - r)(1 - s).

Finally, expand the right side of the equation:

0 = 1 - s - r + rs.

The equation for the pictured graph in factored form is:

y = rs - r - s + 1.

To know more about graph here

https://brainly.com/question/17267403

#SPJ2

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