Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled

Answers

Answer 1

Answer:

H0: p ≥ 0.70; HA: p < 0.70

Sample proportion = 0.625

Test statistic = -1.79

Pvalue = 0.0367

Older workers in Asia feel less fulfilled

B.)

H0: p ≤ 0.50; HA: p > 0.50

0.58

2.35

0.0094

younger workers in Asia feel more fulfilled

Step-by-step explanation:

1.)

H0: p ≥ 0.70;

HA: p < 0.70

The test statistic :

(Phat - p) /sqrt(p(1-p)/n)

Phat = x / n = 75/120 = 0.625

1 - p = 1 - 0.7 = 0.3

(0.625-0.70) / sqrt(0.7*0.3/120)

-0.075 / 0.0418330

= - 1.79

Pvalue FROM Zscore calculator :

Pvalue = 0.0367

α = 5% = 0.05

Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.

B.)

H0: p ≤ 0.50; HA: p > 0.50

Sample proportion, phat = 58% = 0.58

The test statistic :

(Phat - p) /sqrt(p(1-p)/n)

(0.58 - 0.50) / sqrt(0.58*0.42)/210)

0.08 / 0.0340587

Test statistic = 2.35

Pvalue FROM Zscore calculator :

Pvalue = 0.0094

α = 5% = 0.05

Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts


Related Questions

14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y​

Answers

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

Write an equivalent expression to show the relationship of multiplication and addition.


10+10+10




4+4+4+4+4+4+4




8×2




3×9




6m




d+d+d+d+d




Answers

4+4+4 is the equivalent to 10+10+10

What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7

Answers

PEMDAS so parentheses first meaning you subtract 5 from 12

50 points!!
Solve for x and y given the 2 triangles are SIMILAR​

Answers

Answer:

x/3=4.5/1.5

1.5x=3*4.5

x=13.5/1.5

x=9

Step-by-step explanation:

Enter an integer to represent the situation.


an elevator ride down 35 stories

Answers

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

2 3/7 - 5 6/7 Question I-Ready

Answers

Answer: I think so the answer is -3 3/7

HOPE THIS HELPS

What is six times six

Answers

Answer:

36

Step-by-step explanation:

6+6+6+6+6+6=36

PLEASE PLEASE PLEASE PLEASE HELP ME! Image below I Am Crying :((

Answers

Answer:

Its X-1

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.

PLEASE HELP ME PLEASE what is the answer besides 3

Answers

I thinks it’s B I’m not 100% sure tho

5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.

Answers

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

30 points!!
In the figure shown below, all the corners form right angles. What is the area of the figure?

Answers

Answer:

B

Step-by-step explanation:

Move each inequality to the table to match the appropriate situation describing x. HELPP FAST

Answers

Answer:

1. x < 10

2. x ≥ 10

3. x ≤ 10

4. x > 10

Step-by-step explanation:

1. Tiana read a book in less than 10 days.

Let

x = number of days Tiana read her book

x < 10

2. Charlie plans to run at least 10 miles this week

Let

x = number of miles Charlie plans to run

x ≥ 10

Jessica can spend at most 10 dollars on lunch

Let

x = amount of money Jessica can spend on lunch

x ≤ 10

Andre needs to buy more than 10 balloons for the party

Let

x = number of balloons Andre needs to buy

x > 10

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 12% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?

Answers

Answer:pennies: (0.12)(50) = 6

dimes: (0.34)(50) = 17

nickels: 6 + 2 = 8

3.8.22
City planners want to construct a bike path
perpendicular to Bruckner Boulevard at point P. An equation for the Bruckner
Boulevard line is y=-x. Find an equation for the line for the bike path.
4
The equation of the line for the bike path is I.
(Simplify your answer. Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in th

Answers

Answer:

9

Step-by-step explanation:

A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
4 in.
12 in.
24 in.
36 in.

Answers

Answer:

36

Step-by-step explanation:

I used a triangle height calculator on G0ogle

If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.

Then the height of the pyramid will be

The volume of the pyramid will be

Volume = (Base area x height) / 3

Then the base area will be

Base area = 18 x 9

Base area = 162 square inches

Then the height of the pyramid will be

1944 = (162 h) / 3

5832 = 162 h

      h = 36

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

2 Find the area of the shape. Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal. units

Answers

Answer:

The problem is not provided so I cannot solve anything.

Step-by-step explanation:

What is the slope of the following equation?

y = 2x -3

Answers

Answer:

Step-by-step explanation:

2 is the slo[pe:)

Toby collected data about the population of a town for five years. Toby's data was linear. Which table could be Toby's data?
the answer choices are A) A B) B C) C D) D

Answers

Answer:

ok, so the answer is table A

Step-by-step explanation:

USA PREP TESTTTTTT

good luck :)

give your answer as a mixed number

will someone show me how
to work out questions like this in the pictures step but step​

Answers

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - [tex]1\frac{1}{3}[/tex]

Find;

The value of given expression

Computation:

⇒ 17/3 - [tex]1\frac{1}{3}[/tex]

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3


7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C

Answers

Answer:

The area of the given polygon is:

232 cm^2

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

First rectangle:

Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2

Second rectangle:

Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2

Third rectangle:

Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2

By last, we must add the area of the rectangles:

Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2

As you can see, the area of the polygon in the picture is 232 cm^2.

HELP ME PLEASEEEEEEEEEEEE

Answers

First you would do base times night with is 224. Then you would divide 224 by 2, so your answer would be 112

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

1. Translate the figure: Right 5 and Up 4

Answers

Step-by-step explanation:

Right 5 and 4 =9 that is the answer

ABC = DEF What corresponds with B?

Answers

Answer:

answer is C

Step-by-step explanation:

<E corresponds with B

Hope it helps you

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints

Answers

Answer:

i think it 36 sorry if it wrong tho have a nice day

Step-by-step explanation:

If LK is a midsegment of hij, find x

Answers

Answer:

you forgot to post the pic

Step-by-step explanation:

Do you think this fish is a gram or kilogram ??

Answers

I would say a Gram.

Plz help me well mark brainliest if correct!!...

Answers

Answer:

The answer will be D

Have a great day :)

Answer: it would be D two of the fourth graders own two pets

Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets

Hope this helps :)

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Answers

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

[tex]f(x) = x - 3, g(x) = x^2[/tex]

Composite function:

The composite function is:

[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]

At x = 1

[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]

So

When x = 1, (f◦g)(x) is -2.

Help pls… 50points
Referring to the figure, find m∠1.
5. Answer:
Referring to the Fig. in Question #4, find m∠2.
6 Answer:
Referring to the Fig. in Question #4, find m∠3.
7 Answer:
Referring to the Fig. in Question #4, find m∠4.
8 Answer:
Referring to the Fig. in Question #4, find m∠5.
9 Answer:
Referring to the Fig. in Question #4, find m∠6.
10 Answer:
Referring to the Fig. in Question #4, find m∠7

Answers

Answer:

Step-by-step explanation:

The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.

The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°

Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.

∠4 is corresponding to 30° so ∠4 is 30°

∠5 is corresponding to ∠1 so ∠5 is 150°

∠6 is corresponding to ∠2 so ∠6 is 150°

∠7 is corresponding to ∠3 so ∠7 is 30°

Hope this helps :)

Answer:

The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.

The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°

Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.

∠4 is corresponding to 30° so ∠4 is 30°

∠5 is corresponding to ∠1 so ∠5 is 150°

∠6 is corresponding to ∠2 so ∠6 is 150°

∠7 is corresponding to ∠3 so ∠7 is 30°

Hope this helps :)

Step-by-step explanation:

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Answers

Okay thank youu I needed this
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