Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at https://brainly.com/question/24166849
whats is 2+2?
im confused pls explain
What quadrant will (-8,6) Lie on?
Answer:
Quadrant ||
Step-by-step explanation:
Look at the png below it may help you.
--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
What is the area of a square that has a side of 4 units
Answer:16
Step-by-step explanation: So we know that a square has 4 equal sides, and if one of the sides is 4, then that means all sides were 4. Are is side * side. so the area is 4*4 wich is 16!
Answer:
16
Step-by-step explanation:
Square formula: side²
So 4²=16
Math breh™
Slope
Find the slope for each line
Answer:
3. -3/2
4. 3/2
5. 5/3
6. 7/3
7. -6/2 or -3
8. 7/3
Step-by-step explanation:
Rise over run. (∆Y/∆X)
Answer:
3. -3/2
4. 3/2
5. 5/3
6. 7/3
7. -6/2 or -3
8. 7/3
Step-by-step explanation:
count up then over sideway y/x
Hi I need an answer thank you
Write the equation of the line that passes through the given points.
(-6,0) and (0,3)
Answer:
y = 1/2x + 3
Step-by-step explanation:
First we find the slope:
(y2 - y1)/(x2 - x1) =
3-0 / 0 + 6
3/6 = 1/2
then the y intercept is 0,3 so we add 3
y = 1/2x +3
Aubrey is studying for her math test. She knows she will need to round decimals to the tenths place on her test, but she forgets how to do it. Using the number 125.671 as an example, remind Aubrey the steps to rounding decimals to the nearest tenth.
Aubrey the steps to rounding decimals to the nearest tenth.
Answer:
125.7'
Step-by-step explanation:
2. Change the following into indirect speech.
a. Anupam says, "Where do you live?”
Answer:
Anupam ask me where l live
hope it's help you (^0^)
Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answer:
x=6
y=9 so it is the answer....
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
If you worked 50 weeks per year for 50 hours per week for $13/hr, how much money would you earn per year?
Answer:
32500 per year
Step-by-step explanation:
multiply 50 weeks to 50 hours to get how many hours does 50 week have then multiply the outcome result of the two to the $13 to get the money he/she would earn in a year.
Lashonda exercises at least 50 minutes per day. Use t to represent Lashonda's amount of exercise (in minutes per day).
The question is an illustration of inequalities.
The inequality that represents Lashonda's amount of exercise is: [tex]\mathbf{t \ge 50}[/tex]
The given parameter is:
[tex]\mathbf{Minutes = At\ least\ 50}[/tex]
In inequality, at least means greater than or equal to.
So, the above equation becomes:
[tex]\mathbf{Minutes \ge 50}[/tex]
From the question, we understand that the number of minutes should be represented with t.
So, we have:
[tex]\mathbf{t \ge 50}[/tex]
Hence, the inequality is: [tex]\mathbf{t \ge 50}[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133
The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range
Answer:
1. Median refers to the central value of a collection of data
Therefore it is 73.4
2. Mode refers to the frequency of a value in a collection of data
It will be 49 as it is repeated 2 times
3. Range refers to The greatest number subtracted from the smallest number
Which will be 90-49=41
Hope this helps dude!
Please mark me as brainliest
Write an addition equation or a subtraction equation to describe the diagram
Answer:
x=-2+9
Step-by-step explanation:
The first line is negative 2 and the second line is positive nine.
Alexa is preheating her oven before using it to bake. The initial temperature of the
oven is 75° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 8 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: i needed pointsss srry
Step-by-step explanation:
Match the proper noun to the common noun.
1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X
¿Cuántas combinaciones se pueden
hacer con una letra del abecedario
(tiene 27 letras diferentes) y los números
8 y 14?
Queremos ver cuantas combinaciones diferentes se pueden hacer con una letra del abecedario y los números 8 y 14.
La respuesta es:
Hay 162 combinaciones diferentes.
Primero dejemos la letra fija, asumamos que queremos ver las combinaciones entre la letra A, el número 8, y el número 14.
Tenemos 3 elementos, entonces el número de combinaciones será solo 3 factorial, o:
combinaciones = 3! = 3*2*1 = 6
Hay 6 combinaciones diferentes de esos 3 elementos.
Ahora recordamos que ademas de A hay 26 opciones más, entonces la letra tiene un total de 27 permutaciones posibles. Es decir, el número total de combinaciones va a ser 27 veces lo que obtuvimos arriba:
Total de combinaciones = 6*27 = 162
Hay 162 combinaciones diferentes.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/21591279
what is 54% of 114?
Answer:
54% of 114 is 61.56
Step-by-step explanation:
Answer:
that would be 1404/25 or 56.16
Step-by-step explanation:
I solved it on paper
What is the value of n?
n/73=8.76
Answer:
n=639.48
Step-by-step explanation:
Answer:
639.48
Step-by-step explanation:
Which of the following graphs represents the equation −2 + = 10?
Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...
Answer:
C or B
Step-by-step explanation:
because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C
In a trial, an expert witness uses the conservation of momentum to demonstrate which initial velocities would give the final states that occurred in the accident. Can using the conservation of momentum be justified in this case? Yes, because momentum is conserved in all collisions. No, momentum is only conserved in elastic collisions which this is not. No, energy is always conserved, but momentum is only sometimes conserved. Yes, because momentum is conserved in inelastic collisions which all car accidents are.
Answer:
Yes, because momentum is conserved in all inelastic collisions which all car accidents are
Step-by-step explanation:
What is law of conservation of momentum?
It states that In a equilibrium the initial momentum is equal to to the final momentum of the body
Or
[tex]\\ \sf\longmapsto \Delta P=P[/tex]
Answer:
• Yes, because momentum is conserved in all collisions.
Step-by-step explanation:
→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.
In elastic collision
[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]
In inelastic collision
[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]
Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.
Height = 8.4 inches
Length = 5.3 inches
Answer:
44.52
Step-by-step explanation:
Volume = b * h
base times height
The height is 8.4 inches so 8.4 *
Length is the same as base so 5.4
8.4 * 5.4
-8(6+X) + 4(2x + 7) = 0
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
Please help!
I have 10 mins
-I’ll mark BRAINLIEST
Answer:
The terms are 1/2s, -4, 3/4s, 1/8, and s^3
The like terms are 1/2s and 3/4s
-4 and 1/8 could also technically be counted as like terms but I don't think they're looking for that
Step-by-step explanation:
a like term is a term that has the same variable value associated with the coefficient
Ey pls help me anyone pls
Answer:
we cant read the whole question so I cant help you.
Step-by-step explanation:
Answer:
I will do 1-4 and explain because I dont have the time to do all of this.
1=130 2=130 3=134? 4=63 Just add up the numbers and subtract them from either 90 180 or 360, how to know which number to add up to is easy, just see if the sum of the numbers added makes a number above one of those numbers, for example if you find one that the sum is larger then 90 but smaller then 180 then subtract the sum from 180.
Step-by-step explanation:
The perimeter of the rectangle below is 64
Find the value of x