According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.

Answers

Answer 1

Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

At the null hypothesis, we test if the proportion is of 23%, that is:

[tex]H_0: p = 0.23[/tex]

At the alternative hypothesis, we test if this proportion is lower than 23%, that is:

[tex]H_1: p < 0.23[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]

[tex]z = -0.52[/tex]

The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.

Looking at the z-table, z = -0.52 has a p-value of 0.3015.

Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

A similar problem is given at https://brainly.com/question/14639462


Related Questions

Solve:
8t + 2 = 8 (4) + 2 = ? + 2


What is the (?) / Question mark?

Answers

Answer:

? = 32

Step-by-step explanation:

Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34

Plz give brainliest

Simplify (3x-9) / (x^2-x-6)

Answers

The answer is:

3
———
X+2

g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)

Answers

Step-by-step explanation:

f(x) = 0

-2x + 2x is always 0.

so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.

long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

What is 8,473,227 rounded to the nearest hundred thousand

Answers

Answer:

8 500 000

Step-by-step explanation:

since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.

In our case it did not have effect because it is below 5

can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.

Answers

Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

Step-by-step explanation:

what is the standard form for your teacher ?

because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).

there are 2 main forms :

the general slope intercept form is

y = ax + b

a is the slope. and is here -4.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the half finished equation :

4 = -4×6 + b = -24 + b

28 = b

so, the equation is

y = -4x + 28

the general slope point form is

y - y1 = a(x - x1)

where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.

so, we have

y - 4 = -4(x - 6)

If Toye, whose speed is in ratio 5:6 to Koye uses 72min to finish a race. How long will the same race take Koye?​

Answers

Answer:

86.4

Step-by-step explanation:

Toye:Koye

5:6

5 - 72

6

(6*72) ÷ 5

=86.4 min

if a- b= 2 and ab= 15 then a3-b3?
a) 30 b) 98 c) 20 d) 60
full explanation please​

Answers

Answer:

The answer is 98

Step-by-step explanation:

A = 5

B = 3

a_b = 2

a × b = 5 × 3 = 15

A3 _ b3 =(5) bower 3 _ (3) power 3 = 98

what is 6 over x-8 - 3x over x squared -5

Answers

Answer:

6/x^5-2x-8

Step-by-step explanation:

6 over x-8-3x is

6/x-8-3x/x^-5

Over x^-5

x^-5 can be rewritten as

6/x-8-3x+x^5

Simplify:

6/x^5-2x-8

Hope this helps!

98546 dividido para
46

Answers

Answer:

2142.30435

Step-by-step explanation:

The answer is 2142 and leaves remainder

Shawna has a photo album with space for 160 pictures. She has 33 pictures of her family, 48 pictures from summer camp, and 57 pictures from school. Does she have enough pictures to fill the photo album?

Answers

yes since 33+48=81 and 81+57=138
and she will be able to have 22 more photos
sincd 160-138 is 22
no, she would not fill the album. 33+48+57= 138 which is 22 photos less than she would need.

Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.

Answers

Answer:

25 free throws on Friday.

Step-by-step explanation:

On Monday  made 20 free throws

On Friday made 25%  more free throws on Friday than Monday

On Friday made 20 free throws + 25% of Monday free throws

On Friday = Monday throws + 25% × Monday throws

On Friday       = 20 + (.25 × 20)

On Friday        = 20 + 5

On Friday         = 25

How do u do this math problem

Answers

Answer:

is there a question asked or no?

Are the following two logical statements equivalent? p ∨ q q ∨ p

Answers

Answer:

Are the following two logical statements equivalent?

p

q

q

p


A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,

Arthur must jump an additional ___inches.

(Type a whole number, fraction, or mixed number.)

Answers

Arthur must jump an additional 8.25 inches so as to break the record.

1 foot =  12 inches

Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in

Long jump record = 270.75 in

Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in

Arthur's long jump record = 262.5 ft.

To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in

Arthur must jump an additional 8.25 inches so as to break the record.

Find out more at: https://brainly.com/question/20796404

select the two values of x that are roots of this equation 3x^2 + 1 = 5x

Answers

Answer:

[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]

Step-by-step explanation:

[tex]3x { }^{2} + 1 = 5x[/tex]

[tex]3 {x}^{2} - 5x + 1 = 0[/tex]

Apply the quadratic formula with a=3, b=-5 and c=1

Please do this step by step!

Answers

Answer:

Step-by-step explanation:

Let the amount creating equality = x

10% x + 625 = 20%x                Convert The percentages to a decimal

10/100 x + 625 = 20/100 x       Multiply both sides by 100

10x + 62500 = 20 x                  Subtract 10x from both sides

62500 = 20x - 10x                   Combine

62500 = 10x                             Divide by 10 on both sides

62500/10 =10 x/10

6250  = x

The equality is reached when 6250 sales is made.

Find the solution set of the inequality

14−3x<−1.

If right will mark Brainlyest!

Answers

Answer:

x > 5

Step-by-step explanation:

14 -14 - 3 x < -1 -14

-3 x < -15

-3 x / -3 < -15 / -3

x > 5

Pls help brainlist pls help

Answers

Answer:

The slope of the function represents how much the function rises per amount that it moves horizontally.

Step-by-step explanation:

Hilary is making slime for a class project
He discovers that he needs 2 cups of glue for every 3 cups of water
Select all the ratios that have the same constant of proportionality as Hilary's
observation


4:6

3:6

3:12

8:12

Answers

4:6
8:12
Are the answers

The ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.

Hilary's observation states that he needs 2 cups of glue for every 3 cups of water. This can be represented as the ratio 2:3.

Now, let's compare this ratio to the given options:

4:6 = 2:3

Same ratio, same constant of proportionality.

3:6 = 1:2

Different ratio, not the same constant of proportionality.

3:12 = 1:4

Different ratio, not the same constant of proportionality.

8:12 = 2:3

Same ratio, same constant of proportionality.

So, the ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.

To learn more on Ratios click:

https://brainly.com/question/13419413

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A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping

Write an equation for the cost(y) of shipping
x pounds.

Use it to determine the cost of shipping a
12-pound chair.

Answers

Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

Christina has these two tiles. Draw a new shape she can create with both tiles. Then name the shape and how many sides the new shape has.


Square and triangle

Answers

Answer:

quadangle

Step-by-step explanation:

a square made of triangles and If a triangle is called a triangle, why is a square not called a quadangle?

Squares and triangles can be combined to form a pentagon

The new shape is a pentagon.The shape has 5 sides.

The two shapes are given as:

SquareTriangle

Where the base of the square equals the side length of the triangle

When these shapes are combined i.e. when the base of the triangle is merged with the side length of the square, then it forms a pentagon.

See attachment for the image of the new shape.

From the attached image, we can see that the shape has 5 sides

Read more about pentagons at:

https://brainly.com/question/9317617

A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available

Answers

Add all of the students who like the ice creams and subtract from 147 :)

5x + 3y = 4; solve for x.

Answers

Answer:

x= - 3/5y +4/5

Step-by-step explanation:

isolate x:

5x+ 3y= 4

5x= -3y+ 4

x= -3/5y +4/5

7x + 8y = 25 9x + 10y =35 elimination method please​

Answers

[tex]7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\[/tex]

[tex]\\\text{Hence}~ (x,y) = (15,-10)[/tex]

In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

Solve -x/3>5
I need help with this

Answers

x=1 becuase when 1x is it

Whic
a sqy
While making pecan pie, Monica was
reading about pecan trees. The average
width of a pecan tree trunk is 18 decimeters.
How many centimeters is this? (1 decimeter
10 centimeters)
-
(
Fraction Fun Friday
fun aith fr

Answers

Answer: 180 cm

Step-by-step explanation: 1 decimeter = 10 centimeter

18 dm = 10 * 18 cm

18 dm = 180 cm

Would appreciate brainly <3

June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information​

Answers

Answer:

x/2=53.7

Step-by-step explanation:

x/2=53.7

x=107.4

HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER

Answers

Answer:

The answer is A.

Step-by-step explanation:

5 - 1 = 4

10 - 6 = 4

15 - 11 = 4

20 - 16 = 4

25 - 21 = 4

Answer:

The correct answer should be B

Step-by-step explanation:

B is also number 5

Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.

A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other

Answer this, plz.

Answers

Answer:

Option 3

Evens

. . . . . .. . ..

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