4. 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 Z statistic.

Answers

Answer 1

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

The Z-statistic or test of the difference in proportion is approximately -2.106.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

Learn more here:

https://brainly.com/question/15936512


Related Questions

I NEED HELP ASAP NO LINKS

Answers

Answer:

d =  y = 4.25x

correct answer i would say.

Step-by-step explanation:

Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as  

4.25 is the cost for 1 pound of Cheddar cheese

Let the cost of the equation be y as required from the question.

y = cost of the cheddar cheese

x is the weight value in pounds of the Cheddar cheese.

The equation can be best represented as

y = 4.25x

In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.

hope this helped!

mark me brainliest :D

15 mm 4 mm 3 mm what is the surface area of the prism

Answers

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

3x + 3y = 9
-3x + 2y = 1

Answers

Answer:

X=1

Y=2

Step-by-step explanation:

put 1 in for X

3(1)+3(y)=9

-3(1)+2(y)=1

now put 2 for Y

3(2)+3(2)=9

-3(1)+2(2)=1

3•1= 3

3•2=6

3+6=9

-3•1=-3

2•2=4

-3+4=1

tìm m để phương trình có 1 nghiệm duy nhất
x+2y-2z=2
3x+7y-z=5
2x+4y+mz=7

Answers

Rewrite the system of equations in matrix form.

[tex]\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b[/tex]

This system has a unique solution [tex]\mathbf x = \mathbf A^{-1}\mathbf b[/tex] so long as the inverse of the coefficient matrix [tex]\mathbf A[/tex] exists. This is the case if the determinant is not zero.

We have

[tex]\det(\mathbf A) = m+4[/tex]

so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.

3 of 8
Write 264 as a product of primes.
Use index notation when giving your answer.

Answers

Answer: The prime factors of 2 × 2 × 2 × 3 × 11. The final answer is 264.

The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.




State of Water Temperature (°F)

Freezing Point 32

Boiling Point 212



Find the freezing point and boiling point of water in degrees Celsius.




a. freezing point:

°C




b. boiling point:

°C

Answers

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

what is the trend of the graph of the equation y = 3x + 10​

Answers

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

Find the sum of the pair of numbers.

8+(-2)

Answers

Answer:

6

Step-by-step explanation:

8-2

=8+-2

=6

the sum just means when u add them both together hope this helps! u just do 8 take away 2 because its a negative

Due tomorrow: Answer using steps

Answers

Answer:

22.6/62 = 0.364 is the answer

Refer to the attachment

1. Which of the following functions could match the graph shown below?
a. f(x)= 2x

b. f(x) = 2 + x

c. f(x) = x + 0.5

d. f(x) = 0.5x

2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?

a. 20070=t

b. 70200=t

c. 20 = 7t

d. 200 = 70t

Which of the following situations could match this formula? (There may be more than one correct answer.)

500=100x

a. An object travels 500 feet for 100 seconds.

b. An object travels at 500 miles per hour for 100 hours.

c. An object travels 500 miles at a rate of 100 miles per hour.

d. An object travels 100 inches per minute for 500 minutes.

Answers

We want to answer different things regarding linear equations.

The answers are:

1) d2) b 3) a and c.

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Solve for r.
17r–13r=20
r=

Answers

Answer:

Step-by-step explanation:

Solve for r.

17r–13r=20

4r = 20

r = 20 : 4

r = 5

1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)

Answers

Answer:

(-5,3)

Step-by-step explanation:

for a function, an x input produces a y output.

the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.

The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?

Answers

Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°

HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!

Answers

Your answer is 22.19 inches

If you get this right i'll give u 40 :)

Answers

Answer:

1.NO  2. Yes

Step-by-step explanation:

Answer:

The first and second one is no

Step-by-step explanation:

(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25

1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26

The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.

Answers

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?

hole?

25.6°
39.4°
64.3°
65.0°

Answers

Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.

What is the law of sines?

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.

The lenghts and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Hence, in this problem, we have that:

[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]

[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]

[tex]x = \arcsin{0.6344}[/tex]

x = 39.4º.

Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:

A = 180 - (115 + 39.4) = 25.6º.

More can be learned about the law of sines at https://brainly.com/question/27174058

#SPJ1

Answer:

25.6

Step-by-step explanation:

I got it right

Please help me out with this Math sheet. Thanks

Answers

Answer:

1. acute

2. obtuse

3. right

4. acute

5. straight

6. obtuse

7. acute

8. obtuse

9. straight

10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA  , ∠EBC

11. ∠CDA  , BCD

12. ∠AED ,∠BEC

13. ∠ AEC, ∠ BED

14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE

15. ∠ EUO , ∠IUA

16. ∠AUO , ∠EIO

Need help please need help

Answers

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

what is the domain of the relation below?

Answers

Answer:

The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:

Answer:

A - {-1, 0, 1, 3}

Step-by-step explanation:

the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain

3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?



Pls help and show me how to do it

Answers

Answer:

45

Step-by-step explanation:

If he uses 2/6 of a liter thats 3 days for 1 liter.

3 x 15 is 45. so 45 days

What is 3/4+1 2/3+1/2=

Answers

35/12 is the correct answer

Answer:

Exact Form:

35/12

Decimal Form:

2.916- (6 goes on)

Mixed Number Form:

2 11/12

The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each

Answers

Step-by-step explanation:

change it in meter and solve it

4 4/6 + 3 7/8 = ? ........................................

Answers

Answer:

[tex]8\frac{13}{24\\}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]

[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]

In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?

Answers

When rounded to the hundredths place, the price would be $8.16

Since the hundredths place is where the .06 was, and the preceding was less than 5, it stayed as .06

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

1. If she eats 2 servings of granola, how many calories does she eat?

calories

2. If she wants to eat 1050 calories of granola, how many servings should she eat

servings

3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.

Answers

Answer:

1. 700 calories

2. 3 servings

3. c = 350s

Step-by-step explanation:

1. 5 servings = 1,750 calories

  divide by 5 on both sides

   1 serving = 350 calories

   multiply both sides by 2

   2 servings = 700 calories

2. 1 serving = 350 calories

   1050 calories = 350 calories X 3

    3 servings = 1,050 calories

3. 1 serving = 350 calories

   # of calories = 350 per serving

    c = 350s

The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?

Answers

Answer:

x = - 1

Step-by-step explanation:

The vertex is given (-1, 4).

The axis of symmetry is a vertical line and passes through vertex.

Since the x- coordinate of vertex is  - 1, the line of symmetry is x = - 1.

Answer:

x=-1

Step-by-step explanation:

Parabola is symmetric on both sides of the vertex

The axis of symmetry is the x coordinate of vertex

Here the vertex is (-1,4)

So axis of symmetry is x=-1

If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?​

Answers

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]

[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\mathrm{Plug\:the\:points}[/tex]

[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]

[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]

[tex]\sqrt{11^2+0}[/tex]

[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]

[tex]=11[/tex]

A square is 3 inches by 3 inches. What is its area

Answers

Answer:

9

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.

(a) What is the probability that you need to contact four people?

(b) How many students from the college you expect to contact until you find one lives within five miles of you?

(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?

(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?

(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?

How to do this five questions ? thanks​

Answers

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

55% of the students live within five miles of you, thus [tex]p = 0.55[/tex].

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence, since [tex]q = 1, p = 0.55[/tex]:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence, since [tex]n = 5, p = 0.55[/tex]:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Other Questions
a sequence is given by the rule 4n^2 work out the 3rd term in the sequence A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1 A gas measures 140 mL at 400 K find its volume at 120 K if the pressure remains constant. Copy the best two sentences that illustrate the word that you came up with. in hatchet You are reading a really boring assignment for another class. To motivate yourself to keep going, you promise yourself a piece of chocolate for every ten pages you read. You are using a _______ reinforcement schedule. Which equation is the inverse of y = x2 +4?y =-VI- 4b. y = x-4aCy=Vx+4d. y= -x - 4Anyone know the answer Jena gets in an argument with a friend and wants to relax and escape thesituation. She starts thinking about smoking marijuana. Which stage of theaddiction cycle is Jena in?A. Emotional trigger B. Craving C. RitualD. Guilt paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday? Help me in my math plsnonsense will be reportI need it 2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6 As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. 1. Which statement best captures Salak's thoughts as her journey ends? Why did Louis and Mary Leakey choose Olduvai Gorge as the place to spend decades doing their research how long does it take new species to form on earth? Do distance and Gravity have a _____ relationship? if I only have 1/3 cup of oil but i need 1/2 cup how much more oil do i need? Use the dropdown menus to write an equation with infinitely many solutions.4(2x + 3) x = A. 4 B. 5 C. 6 D. 7 x + A. 12 B. 15 C. 16 D. 18 4x 5y = 15m=b=(I need to graph the linner equation) Given: 8x - 3y= -21, 3x + y = -10; prove x= -3 Students observed the shape of the Moon with the same amount of time between each observation. They drew this sequence.Complete each of the 2 activities for this Task.Activity 1 of 2How long did it take them to record this sequence?(Mark the one best answer.) A. About 2 days B. About 2 weeks C. About 2 months D. About 2 years