1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
2 years ago
13

In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal t

ime in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using α = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.
Mathematics
1 answer:
sp2606 [1]2 years ago
7 0

Answer:

Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

Step-by-step explanation:

n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

H0: p ≤ 0.5

H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

0.045 / 0.0158113

Test statistic = 2.846

α = 0.01

Decison :

Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

Pvalue = 0.002214

With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular

You might be interested in
John and alisha randomly met at the local movie theater. what will affect their first impression of each other?
Vesna [10]
How they dress, What movie they buy, and what snacks you buy
7 0
3 years ago
Is 48 a solution to 2y = 24
nata0808 [166]

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP WITH MATH QUESTION<br> WHAT IS (-image down below-) EQUAL TO?????
PolarNik [594]

Answer:

1364

Step-by-step explanation:

∑ means that to add values

So n goes from 1 to 5 and you have to add them from 1 to 5

∑n=1 to 5 4^n = 4^1 + 4^2 + 4^3 + 4^4 + 4^5

4^n means that 4 is n times if 4^3 its mean that 4 is 3 times

= 4 + 16 + 64 + 256 + 1024

= 1364 Answer


I hope you got the idea. Thanks

8 0
3 years ago
Read 2 more answers
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
You have $36,948.61 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until y
Luba_88 [7]
Current amount in account
P=36948.61

Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n

Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11

We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000

We can solve this by trial and error.


The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000.  It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.

So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.

So it takes 15.00 years to reach the goal of 280000 years.
8 0
3 years ago
Other questions:
  • The function f(x) = –10(x)(x – 4) represents the approximate height of a projectile launched from the ground into the air with a
    5·2 answers
  • -(4w^3-z+1) +2(w^3-3z)<br><br> Someone help !!
    12·1 answer
  • What is the square footage for this property described by the metes-and-bounds method? Beginning at the point of the southerly s
    14·1 answer
  • By what factor must you multiply a number in order to double its square root? With an example.
    14·1 answer
  • A rectangular swimming pool is 6 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to
    10·2 answers
  • Given the following table, find the rate of change between f(-4) and f(0).
    6·1 answer
  • How to solve the problems
    7·1 answer
  • HELP PLEASE , i need it asap
    11·2 answers
  • Which of the following geometric figures is the plane shape of a cube?
    12·1 answer
  • Drag the labels to the correct locations on the table. Not all labels will be used.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!