Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and​ females, the following​ question: "Are you annoyed by people who repeatedly check their mobile phones while having an​ in-person conversation?" Among the 530 males​ surveyed, 175 responded​ "Yes"; among the 575 females​ surveyed, 218 responded​ "Yes." Does the evidence suggest a higher proportion of females are annoyed by this​ behavior? Complete parts​ below.

(a) Determine the sample proportion for each sample.

The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)

(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.

A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.

(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.

Answers

Answer 1

Answer:

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively

b)

D) The data come from a Population that is Normally distributed

F) the samples are independent

c)

Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]

Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]

Step-by-step explanation:

Given data Among the 530 males​ surveyed, 175 responded​ "Yes

The sample proportion of males

[tex]p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301[/tex]

The sample proportion of 575 Females surveyed, 218 responded​ "Yes

[tex]p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791[/tex]

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively

b)

The data come from a Population that is normally distributed.

The two samples are independent

c)

Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]

Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]

We will use two samples Z - hypothesis test

[tex]Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }[/tex]

[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }[/tex]

[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }[/tex]

 [tex]Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287[/tex]

The test statistic

[tex]Z = \frac{0.3301-0.3791}{0.02875}[/tex]

Z = -1.7043

|Z| = |-1.7043|

The tabulated value Z₀.₉₅ = 1.96

The calculated Z= 1.7043 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

Conclusion:-

The evidence suggest not a higher proportion of females are annoyed by this​ behavior


Related Questions

What does (h,k) standard for in the standard circle equation?

Answers

Answer:It stands for the center of the equation

Step-by-step explanation:

(x-h)^2+(x-k) ^2=r^2

(h, k) stand for the center of the equation

while r stands for the radius

Can somebody please solve this? I'm confused

Answers

Answer:

9

Step-by-step explanation:

Not sure if it is right, don't at me :)

The factors of the polynomial are
A.(x + 1)(2+ix)(2-ix)
B.(x-1)(2+ix)(2-ix)
C.(x-1)[x-(3+1)][x-(4-1)]
D.(x+1)(x+(2+1)][x- (2-1)]
E.(x-1)[x+(2+1)][x- (2-1)]

Answers

Answer: c

Step-by-step explanation:

can someone help me with my homework please!!!​

Answers

Answer:

c

Step-by-step explanation:

You can either try each answer on the table above, or find the slope then find the function/equation.

c-y1=s(n-x1)

(x1,y1) being any pair from the table and s being the slope.

Johanna wrote the system of equations.

4x-3y=1, 5x+4y=9

If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?

Answers

Answer:

  -5

Step-by-step explanation:

If the second equation is multiplied by 4, the coefficient of the x-variable will be 5·4 = 20. To eliminate the x-variable by addition, the first equation needs to be multiplied by a value that will result in an x-coefficient of -20. If that value is k, then we have ...

  4k = -20

  k = -20/4 = -5

The first equation should be multiplied by -5 to eliminate the x-variable by addition.

_____

Comment on general case

In general, if you have ...

  ax +by = c

  dx +ey = f

to eliminate the x-variable by addition, you can multiply the second equation by "a" and the first equation by "-d". In the problem above, those numbers are 4 and -5.

Answer:

-5

Step-by-step explanation:

The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Step-by-step explanation:

The formula of the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius of cone

h is height of cone

We have,

Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,

[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]

So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Which equation represents the line that passes through points (1, –5) and (3, –17)?
A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1

Answers

Answer:

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )

Answer:C

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=39°, and MN = 5.3 feet. Find the length of NO to the nearest tenth of a foot.

Answers

Answer:

  3.3 ft

Step-by-step explanation:

Side NO is opposite the angle M, so the applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse×Sin

  NO = MN×sin(39°) = (5.3 ft)sin(39°)

  NO ≈ 3.3 ft

Please help if you can

Answers

Answer:

4

Step-by-step explanation:

We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!

Devon borrowed $1058 at 13% interest for 9 months what will he pay an interest

Answers

Answer:

1058 times 0.13= 137.54 then the Answer= 1237.86

Step-by-step explanation: :0

Why equals 3/4 X -12 and why equals negative 4X - 31

Answers

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

4. Jane and Terry went to Long Island for a week. They needed to rent a car, so they checked out two rental firms. Avis wanted $28 per day with no mileage fee. Hertz wanted $108 per week and $0.14 per mile. How many miles would they have to drive before the Avis price is less than Hertz’s price?

Answers

Answer:

Anything more than 89.8 miles

Step-by-step explanation:

Since Hertz charges $108/week, divide that by 7 so you have the daily rate.

Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.

12.57 = .14x Then divide both sides by .14  x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.

Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer:

B. $424.000

Step-by-step explanation:

The function a(t)=424(1+0.06)

Brian is ordering books online. He has $100 to spend on the books. Each book costs $7. The shipping charge for the entire order is $8. The
number of books, b, that Brian can buy is represented by the inequality 7b+8 < 100. How many books can Brian buy without overspending?​

Answers

Answer:

13 books.

Step-by-step explanation:

If 100-8 equals 92 divided by 7 equals 13 rounded. That is the # of books.

PLZ MARK BRAINLIEST!!!

Answer:

13 books

Step-by-step explanation:

7b+8 < 100

Subtract 8 from each side

7b+8-8 < 100-8

7b< 92

Divide each side by 7

7b/7 < 92/7

b< 13 1/7

Since we cannot buy part of a book, Brian can buy 13 books without overspending

The measure of an angle is 7º. What is the measure of its complementary angle?

Answers

Answer:

83°

Step-by-step explanation:

A complementary angles' measurements will equal 90°. One of the angles = 7°. Subtract 7 from 90:

90 - 7 = 83

83° is the measurement of the complementary angle.

~

Answer:

83°

Step-by-step explanation:

Complementary angles add up to 90° in measurement.

With that in mind:

[tex]90 -7=83[/tex]

The complementary angle would measure 83°.

Brainilest Appreciated!

how do I simplify this

Answers

Answer:Use Distributive property

help timed help plss!!

Answers

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

Answer:

1) 645 mm³

2) 84 cm³

Step-by-step explanation:

Volume of prism:

Base area × height

1) 43 × 15 = 645 mm³

2) 12 × 7 = 84 cm³

What is the point slope form of a line that has a slope of 1/2 and passes through point -7, two

Answers

Answer:

y-2=1/2(x+7)

Step-by-step explanation:

Point slope form:

y − y1 = m(x − x1)

We have the coordinate (-7, 2) and slope aka m (1/2)

y-2=1/2(x+7)

Hope this helps! Please mark brainliest :)

whats the answer for 45 meters every 5 seconds = meters per second

Answers

Answer:

9 meters every second

Step-by-step explanation:

45/5=9

5/5=1

9:1

9 meters just multiply 9 and 5 and you will get 45 by that you can gather your answer

The mean of this set of data (23,13,17,11,11)

Answers

Answer:

The mean is 15

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of numbers

(23+13+17+11+11)/ 5

75 /5

15

10^2What is the answer

Answers

Answer:

100

Step-by-step explanation:

10 times 10=100

Answer: 100

Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.

When we multiply a number by itself, it's called squaring.

So any number squared is that number times itself.

So 10² is just 10 · 10 or 100.

Find the difference:
2
X+ 10
3
X+4.
-X+38
(x+10) (x+4)
-x-22
(x+ 10) (x+4)
1
6



HELP

Answers

b
-x-22/(x+10)(x+4)
this is it

Answer:I believe it’s B but I’m not sure

Step-by-step explanation:

what is 4848/40404 written as an improper fraction +34422222222 wiil mark brainliset if right

Answers

Answer:

675/12

Step-by-step explanation:

................................................

Answers

Answer:

V =108 ft^3

Step-by-step explanation:

The volume is found by

V = Bh  where B is the area of the base

B = the area of the trapezoid

B = 1/2 (b1+b2)*h of the trapezoid

B = 1/2(4+6)*4 = 1/2(10)*4 = 20

Now we can find the volume

V = 20* 9

V =108 ft^3

Find the constant proportionality from the proportional relationship shown on the graph

Answers

Answer:

k=5

Step-by-step explanation:

10÷2=5

20÷4=5

and so on

Answer:

The right answer should be 6

Step-by-step explanation:

What is 10000 + 129000

Answers

Answer:

the answer would be 139000

Answer:139000

Step-by-step explanation:

1.
Find the midpoint of MN given M(3,-1) and N(11,-9)

Answers

Amnsid sjsjjdkd skied shudders

Which would neatly fill the gap in the prism shown below? Check all that apply.
3
2
21 / 2
6 blocks each measuring 5x1x1
12 blocks each measuring 3 x1x1
6 blocks each measuring 5x1x1

Answers

Answer:

b, d

Step-by-step explanation:

(12 blocks each measuring One-fourth times 1 times 1)(6 blocks each measuring One-half times 1 times 1)

finished the exam review and was correct (sorry for the late response)

The gap would be filled in the prism shown below as 12 blocks each measuring One-fourth times 1 x 1. 6 blocks each measuring One-half times 1 x 1.

How to find the volume of a prism?

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:

[tex]V = B \times h[/tex]

where h is the height of that prism and B is the area of the base of that prism.

The block has a volume of 2 x 5/2.

The remaining part of the block is filled by

12 blocks each measuring One-fourth times 1 x 1.

6 blocks each measuring One-half times 1 x 1.

Learn more about the volume of a prism here:

https://brainly.com/question/4113799

#SPJ2

Drew is driving out of state to go to a theme park. The total distance he is driving is 500.34 miles. He has driven 0.45 of the

distance so far, Drew calculated that he has driven 250.17 miles.

Is Drew's calculation reasonable or not? Explain your answer. If his calculation is not reasonable, determine the number of miles

Drew has actually driven.

Answers

The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).

To find actual mileage, multiply by 0.45:

500.34 x 0.45 = 225.153 miles.

Round the answer as needed.

2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?

Answers

Answer:

  GH¢1533

Step-by-step explanation:

Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...

  Patricia's share is 2d = 2000

  Luca's share is d+600

From Patricia's share, we know Dauda's share is ...

  d = 2000/2 = 1000

and Luca's share is ...

  1000 +600 = 1600

__

The average share is the sum of these, divided by three:

  (2000 +1000 +1600)/3 = 4600/3 = 1533.33

To the nearest GH¢, the average share is GH¢1533.

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