A certain smart phone game app allows the player, once a day, to spin a wheel with 8 different sections. Seven of the sections contain a small prize and one of the sections is the grand prize, in which the player wins all of the other seven prizes. The makers of the game claim that the wheel has an equally likely probability of landing on each section. Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.

Required:
What would be appropriate hypotheses for the Andraya to test?

Answers

Answer 1

Answer:

The appropriate hypothesis set for Andraya to test is:

[tex]H_0: p = 0.125[/tex]

[tex]H_1: p < 0.125[/tex]

Step-by-step explanation:

The makers of the game claim that the wheel has an equally likely probability of landing on each section.

That is, the makers claim that the probability of earning the grand prize is:

[tex]p = \frac{1}{8} = 0.125[/tex]

Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.

At the null hypothesis, we test if it happens as often as the makers claim, that is, the proportion is 0.125. So

[tex]H_0: p = 0.125[/tex]

At the alternate hypothesis, we test if it happens less ofter than the makers claim, that is, the proportion is less than 0.125. So

[tex]H_1: p < 0.125[/tex]

The appropriate hypothesis set for Andraya to test is:

[tex]H_0: p = 0.125[/tex]

[tex]H_1: p < 0.125[/tex]


Related Questions

Which three types of transformations result in congruent shapes?

Answers

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

Find the height of the pyramid.

Answers

Answer:

3yd

Step-by-step explanation:

use your brain

3yd I think let me know if is wrong

(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.

Answers

Answer:

The answer is "[tex]0.45 \pm 0.18204[/tex]"

Step-by-step explanation:

For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]

Sample percentage measurements estimated stdev

[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]

Calculating the critical z for a=0.1, two-tailed = 1.64

Calculating the confidence interval:

[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]

Pls help this is with 26 pt and brainlest

Answers

Answer:

a) 1 only

Step-by-step explanation:

this is what I believe it is but 1 is for sure an answer

can someone help me i need help pls pls pls pls

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex] \frac{2}{3} \times \frac{7}{4} \\ = \frac{2 \times 7}{3 \times 4} \\ = \frac{14}{12} \\ = \frac{7}{6} [/tex]

You'll get the answer as 7/6 which is equal to 1.16. 2/3 is equal to 0.66.

[tex]•°• \frac{7}{6} > \frac{2}{3} [/tex]

So, the answer is greater than 2/3.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Determine the equation of the circle graphed below.

Answers

9514 1404 393

Answer:

  (x -6)^2 +(y -6)^2 = 10

Step-by-step explanation:

To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.

  d^2 = (x2-x1)^2 +(y2-y1)^2

The radius is the distance between the two points shown, so we have ...

  d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10

__

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

For (h, k) = (6, 6) and r^2 = 10, the equation is ...

  (x -6)^2 +(y -6)^2 = 10

need help will give brainiest

Answers

Answer:

1) ∠M

2) MT, GT

3) ∠G

4) not enough information...because we are given two congruent sides but an angle that is not included.

5) SAS because two sides are congruent (including the one they share) and an included angle.

6) SSS because three sides are congruent (including the one they share).

Need some help on this

Answers

9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

Question 3 (1 point)
Find the value of x for the right triangle.
15
30°
Х

Answers

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

solve for x:

x + 2 1/3 = 3 1/5

x-2 2/3 = 5/6 ​

Answers

It is 3/15 because it was the only time that I’ve had the same problem in my class

HELP QUICK!!!!!!!! GIVING BRAINLIEST!!

Answers

3x. =180-90

3x. =90

x. =30

Suppose the population of the world now is 4 billion and its doubling period is
35 years, what will be the population of the world after 350 years, 700 years, 1050 years?
If the surface area of the earth is 1,860,000 billion square feet, how much space would
each person get after 1050 years?

Answers

Answer:

4096b after 350 years, 4194304b after 700 years, and 4294967296b after 1050 years. 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.

4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth  uninhabitable.

What is surface area?

The surface area of a solid object exists as a measure of the total area that the surface of the object inhabits.

The surface area of a figure (in square units) exists the numeral of unit squares it brings to cover the entire surface without gaps or overlaps. If a three-dimensional figure includes flat sides, the sides exist named faces. The surface area exists as the total of the areas of the faces.

4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth  uninhabitable.

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A shirt originally cost $15, but it was marked down 5%. How much does the shirt cost now? Don't forget the $ symbol.​

Answers

Answer:    $14.25

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

Explanation:

There are two approaches we can take.

The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.

So the new price is 15 - 0.75 = 14.25 dollars

----------------

The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).

95% of 15 = 0.95*15 = 14.25

This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.

please help me solve this

Answers

Answer:

x = 4.58

Step-by-step explanation:

5² = 2² + x²

x² = 5² - 2²

x² = 25 - 4

x = √21

× =4.58

easy question.

Solve the inequality -5x<40

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 40}[/tex]

[tex]\large\text{DIVIDE -5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-5x}{-5}<\dfrac{40}{-5}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-5}{-5} \ because\ that \ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{40}{-5}\ because \ that \ gives \ you \ what \ you \ are\ comparing}\\\\\rm{to \ the \ x-value}[/tex]

[tex]\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}[/tex]

[tex]\mathsf{x > -8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf > \large\textsf{\bf -8}}}\huge\checkmark[/tex]

[tex]\boxed{\large\textsf{IT is an O(P)(E)(N)(E)(D) circle shaded to the right}}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?

Answers

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

may you help me with this question?

Answers

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

urgent..
not explanation just answer plzz

Answers

Answer:

D 1

Step-by-step explanation:

At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1436.00 . How many child tickets were sold that day?

Answers

Can you please delete this. I have answered it wrong. Thanks

g(x) = 3x^2 + 10x-8
Use the drop-down menus to factor the expression and find the zeros of g(x).

Answers

Answer:

g(x) = (3x - 2)(x + 4)

x = {-4, 2/3}

Step-by-step explanation:

g(x) = 3x^2 + 10x - 8

Factor

g(x) = (3x - 2)(x + 4)

Zero I

3x - 2= 0

3x = 2

x = 2/3

Zero II

x + 4 = 0

x = -4

x = {-4, 2/3}

Answer:

The answer is, [tex]x = {-4, 2/3}[/tex]

Explanation:

Definition of factor:

A factor is a number that divides another number by itself without leaving a residue. To put it another way, if multiplying two whole numbers produces a product, the numbers we're multiplying are factors of the product since they're divisible by it.

Factors can be found using two methods: multiplication and division. In addition, divisibility rules can be applied.

Step-by-step:

[tex]g(x) = 3x^2 + 10x - 8[/tex]

Factor:

[tex]g(x) = (3x - 2)(x + 4)[/tex]

Step 1:

Zero 1.

[tex]3x - 2= 03x = 2x = 2/3[/tex]

Step 2:

Zero 2.

[tex]x + 4 = 0x = -4[/tex]

[tex]x = {-4, 2/3}[/tex]

Hence, the g(x) zeros are [tex]x = {-4, 2/3}[/tex]

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how to solve 36x-8y2 x is 3 y is -6

Answers

Use the same variables.
Multiply 36 by the variable for x (which equals 108) and multiply 8 x the value for y squared (which equals -288) and then subtract. To subtract, use the rule for when you subtract with a negative number. 108 - the reciprocal of -288 = 180

You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate

Answers

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that [tex]n = 20, s = 31.61[/tex]

What is the margin of error for this estimate?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]

[tex]M = 14.79[/tex]

The margin of error for this estimate is of 14.79 yards per game.

Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.

Answers

Answer:

4

Step-by-step explanation:

Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x

Answers

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

What is the area of figure below?

Answers

Answer:  141

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

Work Shown:

A = area of trapezoid

A = height*(base1+base2)/2

A = 9*(16+10)/2

A = 9*26/2

A = 9*13

A = 117

---------

B = area of triangle

B = base*height/2

B = 6*8/2

B = 48/2

B = 24

----------

C = area of entire figure

C = A+B

C = 117+24

C = 141 square inches

We can write "sq in" or "in^2" as shorthand for "square inches".

Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *

Answers

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

Each week the manager of a coffee shop orders three more cases of soy milk than almond milk. Let x represent the cases of almond milk and lery
represent the cases of soy milk
Create a table to represent this relationship.
Move each necessary number to its appropriate row to complete the table.
1
5
4
7
12

Answers

Answer:

1 4

2 5

4 7

7 10

9 12

Step-by-step explanation:

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE PLEAASEEEEEEEE PLEASEEEEEEEE I NEED HELPPPPP​

Answers

Answer: A. SAS

If we look at how the triangles are congruent, we have a side, an included angle, and another side. Therefore, these triangles are congruent by Side-Angle-Side. So we can say that MO is congruent to PR because the triangles are congruent by SAS.

Hope this helps!! :)

15,60,240,... Find the 6th term .

Answers

Answer:

61440

Step-by-step explanation:

15 x 4= 60

60 x 4= 240

240 x 4= 960

960 x 4= 3840

3840 x 4 = 15360

15360 x 4= 61440

The 6th term = 15360.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

the given sequence 15,60,240,...

1st trem = 15

common ratio = 4

so, 6th term = 15*  4^5

                   =15360

hence, The 6th term = 15360.

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Which one
60in
84in
120in
168in

Answers

Answer:

84in

Step-by-step explanation:

Triangle Formula: 1/2bh

16*8=48*1/2 = 24

15*8= 120*1/2= 60

24+60= 84

84in because base x height/2 is the equation. 21 is the base, and 8 is the height. So you do 21x8 and get 168. Then do 168/2 and get 84in.
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