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
lana66690 [7]
3 years ago
15

In a previous​ year, 58​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different tod

ay by conducting a random sample of 600 females aged 15 and older and finds that 339 are living alone. Is there sufficient evidence at the alphaequals0.01 level of significance to conclude the proportion has​ changed?
Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

z=\frac{0.565 -0.58}{\sqrt{\frac{0.58(1-0.58)}{600}}}=-0.744  

Since is a bilateral test the p value would be given by:  

p_v =2*P(z  

And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58

Step-by-step explanation:

Information given

n=600 represent the random sample selcted

X=339 represent the number of females aged 15 and older that living alone

\hat p=\frac{339}{600}=0.565 estimated proportion of females aged 15 and older that living alone

p_o=0.58 is the value that we want to check

\alpha=0.01 represent the significance level

z would represent the statistic

p_ represent the p value

Sytem of hypothesis

We want to check if the true proportion females aged 15 and older that living alone is significantly different from 0.58.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.565 -0.58}{\sqrt{\frac{0.58(1-0.58)}{600}}}=-0.744  

Since is a bilateral test the p value would be given by:  

p_v =2*P(z  

And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58

You might be interested in
Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set alge
masya89 [10]

Answer: c.(3, 25) and (7, 9)

y = –x^2 + 6x + 16 and y = –4x + 37

Plug in -4x+37 for y in first equation . It becomes

-x^2 + 6x + 16= -4x+37

Combine like terms. add 4x  and subtract 37 on both sides

-x^2 + 10x - 21=0

Divide the whole equation by -1 to remove negative sign from -x^2

x^2 - 10x + 21=0

Now factor the left hand side

(x-7)(x-3) = 0

x-7 =0  and x-3=0

x= 7  and x=3

Now we find out y using y = –4x + 37

when  x= 7 , then y=-4(7) +37 = 9

when x= 3, then y=-4(3) + 37 = 25

We write solution set as (x,y)

(7,9)  and (3,25) is our solution set


7 0
3 years ago
Read 2 more answers
Suzy fills a 1 pint thermos with milk each day for lunch how many times will she be able to fill her thermos with 1/2 gallon of
pogonyaev
1 gallon is 8 pints....so 1/2 gallon = 4 pints

she fills a 1 pt thermos with milk each day......how many times will she be able to fill her thermos with 1/2 gallon (or 4 pints) of milk ?

if she fills a 1 pint thermos each day....and she has 4 pints of milk, then she will be able to fill her thermos 4 times <===
6 0
3 years ago
Draw 2 squares. The first one should have an area of 12 square units.The second one should have an area that is DOUBLE that of t
statuscvo [17]

Step-by-step explanation:

Given the information:

  • 1st square:  12 square units
  • 2nd square: DOUBLE that of the first square = 2*12 = 24 square units

From that, we can determine the length of the side in each square:

1/ x^{2} = 12

<=> x = 2\sqrt{3}

2/ a^{2} = 24

<=> a = 2\sqrt{6}

Please have a look at the attached photo.

Hope it will find you well.

6 0
2 years ago
The students in Mr. Nolan's class are writing expressions for the perimeter of a rectangle of side length ? and width w.
uranmaximum [27]
You wanna know witch student is correct?
6 0
2 years ago
What should the next lette be? A Z E B I Y O
myrzilka [38]

The letter C, because the pattern is this (I think):

Every two letters it states the vowels (a,e,i,o,u)

Then in between every two letters there starts a pattern of, saying the alphabet in order and saying the alphabet backwards.


In other words they merged these two lines:

A, B, C, D, E...

+

Z, Y, X, W, V...

=

A, Z, B, Y, C, X...etc.

then by adding this pattern of vowels you get:

A, Z, E, B, I, Y, O, (C), (U), (X)...


7 0
3 years ago
Other questions:
  • if you didnt have a potractor,how could you reconstruct the quarter or it from 0 degrees to 90degrees
    15·1 answer
  • How do you know w/o calculator? PLZZZZZ HELPPPPPPPPPp
    15·1 answer
  • Find the zeros for y=x^2-3x-10
    8·2 answers
  • Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
    5·2 answers
  • Square P and Sqare Q are similar squares. The ratio of the side length of square P to the side length of square Q is 2:7. If the
    12·1 answer
  • Which statement BEST describes 200 ? A) between 12 and 13 B) between 13 and 14 C) between 14 and 15 D) between 15 and 16
    10·1 answer
  • Numbers:20 &amp; 21 <br> Please help me!!!!
    6·1 answer
  • Can i get help on these
    9·1 answer
  • How do you find the second derivative by implicit differentiation on x³y³= 8?
    5·1 answer
  • What is the equation of a parabola with focus of (5,3) and directrix y=-3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!