Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)

Answers

Answer 1

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/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.

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

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

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918


Related Questions

A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?

Answers

original dimensions: x and x+5

(x-2)(x+5-2)(1) = 644

Now just solve for x.

The width of the piece of metal will be 24 inches while the length will be 29 inches.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

Volume = (w+3)(w-2)1

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ2

Yolonda ran 4 times last week here are the distances she ran in km
17.9,6.03,15.66,3
What’s the total distance ran

Answers

Answer:

42.59 km

Step-by-step explanation:

Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59

Answer:

42.59 km

Step-by-step explanation:

When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.

     

 17.90

 06.03

  15.66

+03.00

 42.59

8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?​

Answers

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

He can buy 4 books
11.40/2.85 = 4

Which numbers make a true statement when placed in the box?

8.274< |__|


Select EACH correct answer.


1) 8.199

2) 8.201

3) 8.396

4) 8.295


*Disclaimer*

Show work!

Answers

Answer:

3 & 4

Step-by-step explanation:

Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295

write the equation of the line with slope -3/2 passes through the point (-12,16)​

Answers

Answer:

Step-by-step explanation:

You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.

y - y1 = m(x - x1)

In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.

The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.

So fill that in:

y - y1 = -3/2 (x - x1)

They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!

y - 16 = -3/2 (x - -12)

Simplify that ugly 'minus a negative' in the parenthesis.

y - 16 = -3/2 (x + 12)

If you were never told what form of equation to write, or they said "any form of the equation", then you're done!

This is in "point-slope" form.

y - 16 = -3/2(x+12) Ta-da!

If you need to change it to "slope-intercept' form then there are a few more steps.

y - 16 = (-3/2)x + (-3/2)12

y - 16 = (-3/2)x - 18

+16 +16

y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)

Help me with this pleassssseeeedeeeeeeee..

Answers

We’re told that QR and RS are equal, so this is an isosceles triangle.

Meaning the two base angles must also be equal

Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180

anybody help please again •_•​

Answers

Answer:

i am not to sure but i think its 5/13 or 5/40

HELPPPPPPPPPPP Asapp

Answers

Answer:

B. Kilograms

Step-by-step explanation:

Kilograms is what is measured for sugar. B

Answer this .i will make you brainliest

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{ǫᴜᴇsᴛɪᴏɴ}}}}}}[/tex]

(8) An aeroplane takes off from Dubai located in the +4 time zone at 13:00. It arrives in Manila in Philippines, located in the +8 time zone at 20:00.

(1) Find the time in Manila when the aeroplane departsfrom Dubai.

(ii) Find the time duration of the flight.

(iii) What is the time in Dubai when the aeroplane arrives in Manila?

[tex]\huge{\underline{\underline{\boxed{\sf{\ref{Answer}}}}}}[/tex]

(i)17.00(ii)3 hours(iii) 16.00

[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]

Dubai located +4 zone, takes off at 13.00,

∴Hence, at standard it is 13.00-4 =99.00 STD talk

off reached at Manila +8 Zone at 20.00

∴Hence at standard & 2000 -8

reached.⇒ 12.00 STD

Hence time of flight was = 3 hours.

(i) Time at Manila, whicle Plane de parts

12-3+8 ⇒9+8 → 17.00

(ii) duration = 3 hours.

(iii) in dubai 13.00 + 3 = 16,00

_____________________

Ans

i)17.0.0 (ii) 3 hours (iii) 16.00

________________________

♕ hence we done:) xD

This is a Function?


O True
O False

Answers

Answer:

true

Step-by-step explanation:

Help! Help! HELP!!
Find the value for x

Answers

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

Simon walks a total of 45.55 miles in march sand 35.7 miles in April.


How many miles does Simon walk in all march and April?

Enter your answer in the box.


|__|

Answers

Answer:

[tex]81.25[/tex]

[tex]45.55 + 35.7[/tex]

Task-1:
1. Which of the following are in proportion?
a) 21, 35, 24, 40 b) 75, 21, 18, 6

Answers

Answer:

1

Step-by-step explanation:

Find the 12th term of the geometric sequence.
15, 30, 60, ...

Answers

⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880 .

Answer:

465

Step-by-step explanation:

The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.

identify the transformation performed on the figure below

Answers

A) Translation

hope this helps!

Answer:

translation

Step-by-step explanation:

this is a translation because every point of the shape remain in the same position as it is moved.

How many factors does 60 have? A)10 B) 8 C) 12 D) 4​

Answers

Answer:

60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60

The number 60 has 12 factors :)

-185 = -5 - 9b

How to find the answer to this problem above?

Answers

Answer:

b=20

Step-by-step explanation:

-185-5=9b

-180=9b

=>b= -20

WILL GIVE BRAINLY,5 STARS, THANKS


4,800/60 = 480 tens / 6 tens = ___

Answers

Answer:

80

Step-by-step explanation:

Answer:

800 = 80 tens

Step-by-step explanation:

4800 / 60 = 800

A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take?

hours
minutes and
seconds

Answers

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

if a = 3y + 4z and b = z - 2y, then what is the value of a + b?

Answers

Answer:

y + 5z

Step-by-step explanation:

Hope this helps!

- is dilated to be ' ' ' '. The original is the center of dilation.


What scale factor is used to create the dilation?

Answers

The scale factor is 5

In the first image, you can see that the pre image square it 1 unit long and the image is 5. How do you get 1 to 5, you multiply by 5. So the scale factor is 5.

please help me asapppppp


ty :)

Answers

Answer:

2x + 7y = 35

Step-by-step explanation:

Multiply the equation with 7

7 ( y = -2x/7 + 5 )

7y = -2x + 35

2x + 7y = 35

The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?

Answers

The length of the trails can be determined be using a formula related to

Pythagorean theorem, which makes use of the rise and run of a trail.

The number of miles longer Trail A is than Trail B is 4 miles

Reasons:

The location of the park = (1, 9)

The stating point of Trail A = (-7, -6)

Starting point of Trail B = (6, -3)

The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;

[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]

Therefore;

[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]

[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]

The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles

Therefore;

Trail A is 4 miles longer than Trail B

Learn more about finding the distance between two points on a graph here:

https://brainly.com/question/9917504

A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total amount?​

Answers

Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

Solve for HL hypotenuse leg theorem
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Additional information needed to prove the Triangles congruent by HL criteria is ~ D

[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]

Answer:   Choice D

ST = SE or US = FS

===========================================

Explanation:

As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.

The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.

The HL theorem only applies to right triangles.

Lillian invests money in an account paying a simple interest of 6.6% per year. If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?

Answers

Answer:

Lillian will have $170.56 in one year

Step-by-step explanation:

First we have to figure out what is 6.6% of 160.

160 * 6.6% = 10.56

Now we just add 160 with the 6.6% to figure out the answer.

160 + 10.56 = 170.56

So, the answer is 170.56 dollars.

Hope this helps! :)

૮ ・ﻌ・ა

Hi. Can someone pls help

Answers

(2,10) this is because 7 x 2 is 14, minus 4 that’s 10

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16

Answers

Answer:2/8, 0.3215, 9/16, 0.75

Step-by-step explanation:

2/8 = 0.25  0.3215 is higher then 9/16 =0.5625 next is 0.75

A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.

Answers

Answer:  y = -(3/7)x - (36/7)

Step-by-step explanation:

Let's convert -3x - 7y = 10 to standard slope intercept form:  y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

-3x - 7y = 10

-7y = 3x + 10

y = -(3/7)x - (10/7)

This line has a slope of -(3/7).  Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.  

We want a value of b that forces the line to go trough point (-5,-3).  Use this point in the partial equation and solve for b:

y = -(3/7)x + b

-3 = -(3/7)(-5) + b

-3 = (15/7) + b

b = -3 - (15/7)

b = -(21/7) - (15/7)

b = -(36/7), or -5 1/7

y = -(3/7)x - (36/7)

Given that
f
(
x
)
=
4
x

2
and
g
(
x
)
=
2
x
, evaluate
g
(
f
(
5
)
)

Answers

Answer:

36

Step-by-step explanation:

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