In a random sample of 400 items where 82 were found to be​ defective, the null hypothesis that 20​% of the items in the population are defective produced ZSTAT=+0.25. Suppose someone is testing the null hypothesis H0​: π=0.20 against the​ two-tail alternative hypothesis H1​: π≠0.20 and they choose the level of significance α=0.01. What is their statistical​ decision? What is the statistical​ decision? Determine the​ p-value. The​ p-value for the given ZSTAT is ​p-value=nothing. ​(Type an integer or a decimal. Round to three decimal places as​ needed.)

Answers

Answer 1

Answer:

Z - statistic = 0.25

P-value

P(Z=0.25) =  0.802587

The result is not significant at p<0.01

Step-by-step explanation:

Step(i):-

Given the random sample size 'n'' = 400

A random sample of 400 items where 82 were found to be​ defective

Sample proportion

                     [tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]

Given Population proportion

                    P = 0.20

Null Hypothesis : P = 0.20

Alternative Hypothesis : P≠ 0.20

Step(ii):-

Test statistic

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

         [tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]

Z - statistic = 0.25

Level of significance =0.01

P-value

P(Z=0.25) =  0.802587

Conclusion:-

The result is not significant at p<0.01


Related Questions

Why are whole numbers rational numbers? Use 15 as an example.

Answers

Answer:

Every whole number n can be written as a fraction of integers.

Step-by-step explanation:

Every whole number n can be written as a fraction of integers: x=x/1.

If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.

So whole numbers are rational

Whole numbers are rational numbers because all whole numbers can be expressed in the form a/b. Hence, 15 can be expressed as a rational fraction thus 15/1

When a number can be expressed in the form a/b ; such that the value of the denominator, b ≠ 0 ; then the number is said to be rational.

Whole numbers are positive integer values and as such, they are not decimals.

Every whole number can be expressed such that the denominator is 1 ; hence, they can be expressed in the form a/b.

15 as a whole number can be rewritten as 15/1. Hence, all whole numbers are rational.

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Write the relation as a set of ordered pairs.

a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)} ​

Answers

C. (-2,-1) (0,1) (2,3)

The two-way table shows the number of books of each type in Eliza’s home.

A 5-column table has 3 rows. The first column has entries hardcover, paperback, total. The second column is labeled Fiction with entries 28, 4, 32. The third column is labeled biographies with entries 2, 1, 3. The fourth column is labeled Reference with entries 10, 15, 25. The fifth column is labeled Total with entries 40, 20, 60.

What is the probability that a randomly selected reference book is hardcover?

0.25
0.4
0.6
0.75

Answers

The answer is 0.4 hope it helps!

The probability that a randomly selected reference book is hardcover is 0.4.

The two-way table depicts the distribution of books in Eliza's home by type (hardcover, paperback, biographies, fiction, and reference), as well as the number of books in each category (32 fiction books, 3 biographies, and 25 reference books).

There are a total of 25 reference books, of which 10 are hardcover.

So the probability that a randomly selected reference book is hardcover is:

10/25 = 0.4

Therefore, the probability is: 0.4.

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1.Which statement about two negative numbers is true? .

Answers

Answer:

To negative numbers makes a positive number.

(only in dividing and multiplying)

Step-by-step explanation:

Please mark me brainliest

Negative x negative is a positive

Answer this please thanks

Answers

Answer:

D. 182.4

Step-by-step explanation:

0.48 x 380 = 182.4

182.4
NEVER multiply a percent! Change it into a decimal.
.48x380

Use the quadratic formula to solve the zero(s) of the quadratic equation 3x^2-4x-6=0. Round to the nearest 10th.

Answers

Answer:

so Is because you do 3x2=6 so is

Step-by-step explanation:

3x2=6

x=(o,-6) ok

is c or d

PLEASE HELP!

Find the real or imaginary solutions of the following equation by factoring.

y^3 + 27 = 0

Answers

Answer:

-31.5(1 + i√3)1.5(1 - i√3)

Step-by-step explanation:

y³ + 27 = 0(y + 3)(y² - 3y + 9) = 0

1. y + 3 = 0 ⇒

y = -3

2. y² - 3y + 9 = 0

y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)

Answer:

Do u still need the answer?

Step-by-step explanation:

PLEASE HELP ME ASAP!!!!!!!

Answers

Answer:

the answer is c

Step-by-step explanation:

dont mess with people who need help go earn your answers dont steal points

Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?

Answers

Answer:

4 quarters

4 nickels

Step-by-step explanation:

4 quarters 4 nickels

32 jelly beans was share with 8 students how many each students get
please answer it i`ll give you brainiest

Answers

Answer:

4 students would get jellybeans because 32 divided by 4 would be 8 and 8 times 4 is 32.  hope this helps! :D

Step-by-step explanation:

brainliest plz?

If 32 jelly beans were shared with 8 students each will get 4 jelly beans.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 32 jelly beans were shared with 8 students.

The no. of jelly beans each student will get can be obtained by dividing the total no. of jelly beans divided by the total no. of students which is,

= (32/8) jellybeans each.

= 4 jelly beans each.

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please help with right answers​

Answers

The answer is 25.

4 green balloons : 5 purple balloons
20 green balloons : 25 purple balloons.

In order to get to 20 from 4 u need to multiply by 5. Do that to each side and get 25

Answer:

25

Step-by-step explanation:

the ratio is 4:5

20/4=5

so multiply 5 by 5 and you will get 25

on the number line jump to where it shows the very end where 20 is and at the bottom it is 25

hope that helps

If Arron's boat travels 9 mph and the river runs 4 miles mph in still water.how long will it take to travel 18 miles upstream

Answers

Answer:  It will take Aaron's boat 3³/₅ hours to travel 18 miles upstream.

That is 3.6 hours or  3 hours and 36 minutes.

Step-by-step explanation:

Traveling upstream, the boat's speed will be reduced by the speed of the river current.  

9 - 4 = 5mph

18mi/5mph =  3.6 hours  0r  3³/₅ hours

What is this answer????

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

What is the magnitude of the vector shown?
5
13
radical 5
radical 13

Answers

Answer:

D on edge

Step-by-step explanation:

radical 13

Need answer asap pls..............

Answers

Answer:

These go up by 1.

Step-by-step explanation:

10 20 30 40 50 60 70 80 90

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4, and so forth.

Answer:

A (they go up by one )

Step-by-step explanation:

10, 20 , 30 ,40,50 The tens place goes up by  1 each time

volcano Puu Puai in Hawaii was formed in 1959 when a massive “lava fountain” erupted. The lava shot from the ground with an initial velocity of 350 feet per second.
a. For how long was the lava in the air until it returned to the ground?
b. What was the maximum height of the lava?
c. After how many seconds did the maximum height occur?

Answers

Answer:

a)Tt = 21,41 s

b) y(max) = 1873 ft

c)  t = 10,70 s

Step-by-step explanation:

We assume that this is a case of vertical shooting then:

a) Vf  = V₀  -  g*t

Vf = 0         -g*t = -V₀

t  =  V₀ /g         t  =  350 ft/s / 32,7 ft/s²

t  =  10,70 s     time for lava to reach y maximum

a) Then  Tt = 2*10,7     Tt = 21,41 s

Lava was in the air for  Tt = 21,41 s

b) y = y₀ + v₀*t - (1/2 )*g*t²

for y = ymax  we get:

y(max)  = 0 + 350*10,70 - 0,5* 32,7* ( 10,70)²

y(max)  =  3745  - 1872

y(max) = 1873 ft

c) t = 10,70 s

How can I find the systems of linear inequalities ​

Answers

By solving and then graphing

A right triangle has one angle that measures 24°. What is the measure of the other acute angle?

Answers

Answer:

66 degrees

Step-by-step explanation:

90+24=114

180-114=66

Answer:

66 degrees

Step-by-step explanation:

a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114

180-114 is 66

I desperately need the answers to this, it’s about compound interests

Answers

Answer:

quarterly is n = 4semiannually is n = 2monthly is n = 12annually is n = 1

Step-by-step explanation:

n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)

Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2

Enter answer as ordered triple.

Answers

X+2y - 4z =4

2x-y +2z =3

3x-8z=-2

9z / 14y/7x

Answer:

(2,3,1)

Step-by-step explanation:

i just did the problem

hope this helps :))

how to change a vector direction by 90 degree​

Answers

Answer:

multiply the X part of the vector by -1, and then swap X and Y values

Step-by-step explanation:

Which graph represents the function y=-(x-2)²+3?

Answers

Answer:

Graph D

Step-by-step explanation:

the bottom right graph represents the function  y=-(x-2)²+3. I put it in a graphing calculator soo

Mike is 5 years old and Randy is 8 years old. Select the proportional relationship that has the same ratio to that of Mike and Randy's age.

Answers

5:8
mike is 5:randy is 8
5:8 mike being 5 and Randy being 8

Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?

Answers

Answer:

167 pairs

Step-by-step explanation:

Represent jeans with J and shirts with S

[tex]S = 2J[/tex]

[tex]Amount = \$500[/tex] --- Maximum

Required

Determine the number of pair of jeans he can buy

To represent as an inequality, we have:

[tex]S + J \leq Amount[/tex]

[tex]S + J \leq 500[/tex]

Substitute 2J for S

[tex]2J + J \leq 500[/tex]

[tex]3J \leq 500[/tex]

Divide through by 3

[tex]J \leq 500/3[/tex]

[tex]J \leq 167[/tex]

Hence, without exceeding $500, Jess can buy 167 pairs of jeans

Answer:

7

Step-by-step explanation:

30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500

Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4

Answers

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)

Answer:

D. 5x^2-4

Step-by-step explanation:

We are asked to find (f+g)(x), which is really just the sum of the two functions.

(f+g)(x)=f(x)+g(x)

We know the the functions are:

• f(x)= 4x^2+1

• g(x)=x^2-5

Substitute the functions in.

(f+g)(x)=(4x^2+1)+(x^2-5)

Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.

(f+g)(x)= (4x^2+x^2)+(1-5)

Add the terms with x^2

(f+g)(x)=(5x^2)+(1-5)

Add the constants or terms without variables.

(f+g)(x)=(5x^2)+(-4) = 5x^2-4

The sum of the functions is D. 5x^2-4

Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9

Answers

Answer:

x=-4

Step-by-step explanation:

Answer: A

Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4

James has 165 centimeters of yarn left. How many inches does he have left?
(1 inch = 2.54 centimeters).

Answers

Answer:

64.96 inches

Step-by-step explanation:

this is because calculations excuse length value by dividing by 2.54

165/ 2.54 = 64.96 inches

is x/3 a polynomial​

Answers

Answer:

Step-by-step explanation:

Poly means many.

This is only 1 term. It is a monomial.

Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)

Answers

(4,-2) is located in Quadrant IV
Answer: (4, -2) or A

Step by Step Explanation:
The photo on this message are the quadrants, to be in quadrant IV or 4; x needs to be positive and y needs to be negative, so (4,-2) will be in Quadrant IV

2 year loan at 6 percent interest rate and $264.00 paid wa

Answers

Answer:2,576

Step-by-step explanation:

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