In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?

Answers

Answer 1

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

                                                            Q= 1-P

                                                           Q = 1- 0.51 = 0.49

The sample proportion

                                   [tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis:  P < 0.51

Alternative Hypothesis : P > 0.51

  Test statistic

                    [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

                   [tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]

                  Z =  1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

               ( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time


Related Questions

Can someone please help me find the answer?

Answers

Answer:

149.84

Step-by-step explanation:

a baseball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation y=0.9x-1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage. Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?

Answers

Step-by-step explanation:

so fill in 88 where the x is so

y = 0.9 (88) - 1

y = 78.2

Omg someone anybody help!! Please

Answers

Answer:

y= 2x

Step-by-step explanation:

y= mx+b

The slope (m) is 2/1 or just 2.

The y-intercept (b) is 0.

y= 2x


use factoring to solve quadratic equation. Check by substitution or by a graphing utility.

4x^2=19x+30​

Answers

Start by moving all terms to left side of equation 4x^2 - 19x - 30 = 0
Multiply 4 x -30 = -120
Now find two factors of 120 that subtract to give 19... 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24 ✅
[if it had been +120 we would add the factors looking for 19 which in this case don’t exist]
To get -19 we will need 5 + -24
24 is a multiple of 4 so we can use 4 x -6 and 1 x 5
Giving a factored equation of (4x + 5)(x - 6) = 0 [you should check this by expanding to remove the brackets]

One of the brackets must = zero so the solutions are x = -5/4 or x = 6

Some people look at factors of 4 and -30 and then pair then up to find a sum of -19 but this can take longer to finish.

PLEASE HELP ASAP!!!!!!!!!!!!!

Answers

Answer:

3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3  + 216 times 3+ 343 times 3

2352 cubic units^3

Step-by-step explanation:

Evaluate a + 4 when a = 7.
Stuck?

Answers

Answer:

11

Step-by-step explanation:

a + 4 when a = 7.

7 + 4 = 11

-TheUnknownScientist

Answer:

11

Step-by-step explanation:

a + 4 = ?

7 + 4 = 11

In​ 2006, the population of a country was 45.4 million people. From 2006 to 2050 the​ country's population is expected to decrease by 6.5% Find the expected population of the country in 2050 Round to the nearest tenth of a million.

Answers

2006 Pop. = 47.9 million

Expected decrease = 4.8% = .048

Expected population = 47.9 million (1- .048) = 45.60 million

Plz help! Urgent!

Use the information in the table and choose all true statements.

Answers

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

If f(x)=3x^2+2x=1 find f(x+2)​

Answers

Answer:

f(x+2) = 3(x+2)^2 + 2(x+2) + 1

Step-by-step explanation:

Replace x with x+2 and you get the solution above. Hope this helps!

A= B= b= what’s the answer i been trying to solve all day

Answers

Answer:

Step-by-step explanation:

We are given the triangle  ABC  and told to find ∠A, ∠B, and side b.  Also we are told that side c= 54 .  side a=64 and ∠C = 32°

we need law of sines    a / sin A =  b / sin B =  c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B  = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) /  sin(32) = b

96.2963 = b

Yolanda brought a CD to listen to on the bus the CD is 78 minutes long The bus ride was 2 1/2 hours long How many minutes longer was the bus ride than thr CD?

Answers

Answer:

2.5 times 60 equals 150. 150-78 equals 72. So the answer is 72.

Step-by-step explanation:

Hope this helps.

Make a scatter plot of the data below.
Speed (mph)
Stopping distance (ft)
10
12.5
20
36.0
30
69.5
40
114.0
50
169.5
60
249.0
70
325.5

Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place.
a.
y = 0.06 x squared + 0.31 x + 4
b.
y = negative 4.03 x squared + 0.32 x + 8.19
c.
y = 0.06 x squared minus 0.31 x minus 4
d.
y = 4.03 x squared minus 0.32 x minus 8.19

Answers

Answer:

c

Step-by-step explanation:

By using the quadratic regression feature of a graphing calculator a quadratic model would be [tex]y = 0.06 x^2 + 0.31 x + 4[/tex]

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Speed (mph)           Stopping distance (ft)

10                                12.5

20                               36.0

30                               69.5

40                               114.0

50                               169.5

60                               249.0

70                               325.5

Use the quadratic regression feature of a graphing calculator to find a quadratic model.

From the above data, we get

[tex]y = 0.06 x^2 + 0.31 x + 4[/tex]

Learn more about quadratic equations;

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help me asap .. please:C :C

Answers

Answer:

6ft²

Step-by-step explanation:

A= LxW

A= 3x2= 6

A= 6ft²

Answer:

6ft

Step-by-step explanation:

Area of Missing Rectangle:

height*base

==> 2*3

==> 6 ft^2

200% of d is 18. what is it

Answers

Answer:

36 is d

Step-by-step explanation:

you need 4/5 of a cup of strawberries for a single pie, how ,many cups are need for 9 pies?

Answers

Answer:

7 2/5 cups

Step-by-step explanation:

4 x 9 = 36

36/5 = 7.2

Help will award branliest

Answers

The first would be yes. The second no, the third no, and the last yes

please help me in this Q

Answers

9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.

guys please help I need the answer right now​

Answers

11, 13, 15 Rule: Add 2 or +2
1/6, 1/7, 1/8 Rule: Add
Adding by 2- 3,5,7,9,11,13,15 etc
Adding by 1 to denominator
1/2,1/3, 1/4 , 1/5 , 1/6, 1/7

Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?​

Answers

Answer:

$3,573.60

Step-by-step explanation:

.043 x (15300 - 10100) = 223.60

223.60 + 3350.00 = 3573.60

No links No pdfs No wrong answer or I report

people say its D then the computer say its B (sometimes computer make mistakes) so can someone clarify if its B or D

Answers

Answer: 4, 4

Step-by-step explanation: this is on g.oo.g.le

The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is

Answers

The answer you would be looking for is A.12.4 feet. You can use the equation A^2+b^2=c^2 to solve for your x being length.
Making 4^2+b^2=13^2 or
16+b=169
Take 16 from both sides
B=153 then square root both sides
B^2 or x= 12.36 or 12.4 if you choose to round up as asked in the question.
I hope this helps!

Members of a community garden grow 500 vegetable plant
sprouts. They donate 10% of the sprouts to a school. They
sell 20% of the remaining sprouts to a local park. They plant
5% of those left in a greenhouse. Then they plant the rest of
the sprouts outside. How many sprouts do the members
plant outside? Show your work.

Answers

Answer:

342 sprouts are planted outside.

Step-by-step explanation:

500 sprouts

500*0.10=50

500-50=450

450*0.20=90

450-90=360

360*0.05=18

360-18=342

help me pls i will give brainly if ur correct

Answers

Answer:

11

Step-by-step explanation:

Answer:

You'd need atleast 2

Step-by-step explanation:

Theres 5 ppl. Only 3 spots. You need two

Which of the following is NOT a negative result of unemployment?
A. promotion
B. anxiety
C. depression
D. subsidized housing

Answers

Answer: A

Step-by-step explanation: Promoting somebody is not a bad result of unemployment it might just mean you got transferred to another store.

It’s probably D but if not then it’s A

please answer thanks

Answers

Answer:

10

Step-by-step explanation:

it's kinda hard to explain

The circumference of a circle is 18 pi inches what is the radius in inches of the circle

Answers

The radius would be 9 using the formula C=2r

how do you solve
7x - 4y = 10 ?
just seeing how to sole this equation

Answers

Answer:

this is a simultanious equation and u need one more equation to do it

Step-by-step explanation:

there are many answers if u dont have the second equation.

You can just substitute a number in x then find y

eg.

x= 12/7 , y =0.5

Answer:

1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.

2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.

3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.

4. \frac{7x}{7}=\frac{4y+10}{7} 77x​=74y+10​ Dividing by 7 undoes the multiplication by 7.

A cup of coffee cost $2.50. If the total cost is $22.50, then how many cups of coffee were purchased?
a. Write an equation

b. What is the constant of proportionality?

Answers

9 Cups of coffee were purchased

Equation: 2.5 x Y = 22.5

Y = amount of cups purchased

Constant of proportionality: T = PxY

T = total, P = Price per one, Y = amount of cups

Hope I helped, if did please give Brainliest ;)

An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,

Number of cups of coffee = Total bill amount / Cost of a coffee

Number of cups of coffee = $22.50 / $2..50

Number of cups of coffee = 9

A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,

Total bill amount = Cost of a coffee × Number of cups of coffee

y = 2.50 × x

y = 2.50x

B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

Learn more about Equation here:

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2x^3-x^2+3
——————
X-3

Answers

Answer: (x2 - x - 1) • (2x + 1)

Step-by-step explanation:

((2x3 - x2) - 3x) - 1

STEP

2

:

Checking for a perfect cube

2.1 2x3-x2-3x-1 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: 2x3-x2-3x-1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3x-1

Group 2: 2x3-x2

Pull out from each group separately :

Group 1: (3x+1) • (-1)

Group 2: (2x-1) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = 2x3-x2-3x-1

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 2 and the Trailing Constant is -1.

The factor(s) are:

of the Leading Coefficient : 1,2

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -1.00

-1 2 -0.50 0.00 2x+1

1 1 1.00 -3.00

1 2 0.50 -2.50

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

2x3-x2-3x-1

can be divided with 2x+1

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : 2x3-x2-3x-1

("Dividend")

By : 2x+1 ("Divisor")

dividend 2x3 - x2 - 3x - 1

- divisor * x2 2x3 + x2

remainder - 2x2 - 3x - 1

- divisor * -x1 - 2x2 - x

remainder - 2x - 1

- divisor * -x0 - 2x - 1

remainder 0

Quotient : x2-x-1 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-1

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

(x2 - x - 1) • (2x + 1)

HELP QUICK ITS TIMEDDDD WILL GIVE BRAINLYIST
How many triangles are formed by drawing a diagonal from vertex A to all non-adjacent vertices in a regular octagon?



A. 6
B. 5
C. 4
D. 3

Answers

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

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