Factinate claims that 84% of teenagers think highly of their mother. To investigate this claim, a school psychologist selects a random sample of 150 teenagers and finds that 135 think highly of their mother. Do these data provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84?
1. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest The school psychologist performed the significance test and obtained a P-value of 0.0225.
2. Explain what it would mean for the null hypothesis to be true in this setting.
3. Interpret the P-value.
4. What conclusion would you make at the a = 0.05 level?
Use the z-distribution, we have that:
1.
The null hypothesis is of [tex]H_0: p = 0.84[/tex].
The alternative hypothesis is of [tex]H_1: p > 0.84[/tex].
2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
How the p-value influences the decision?If the p-value is less than the significance level, the null hypothesis is rejected.If the p-value is more than the significance level, the null hypothesis is not rejected.Item 1:
At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:
[tex]H_0: p = 0.84[/tex]
At the alternative hypothesis, we test if this proportion is greater than 84%, that is:
[tex]H_1: p > 0.84[/tex]
Item 2:
It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
Item 3:
135/150 = 0.9.
We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
Item 4:
The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
More can be learned about the use of the z-distribution for an hypothesis test at https://brainly.com/question/26454209
HELPPPPPPPP!!! the answer choices are 58 49 42 55!!!!!
How many solutions are there? And what is the answers?
Answer:
x = 4 y = 3
Step-by-step explanation:
4 + 3 = 7
4 - 3 = 1
There is only one answer
GRADUATION In Grade 12 class of 100 students, 91 went to the Grade 12 graduation. If two people are chosen at random from the entire class, what is the probability that at least one of them did not go to graduation?
Probabilities are used to determine the chances of events
The probability that at least one of them did not go to graduation is 0.173
How to calculate the probabilityThe number of students in Grade 12 class is:
n = 100
The number of students that went to the graduation is
p = 91
The above means that:
q = 9 --- the number of students that did not attend the graduation
So, the probability that at least two students do not attend the graduation is:
Pr = P(None) + P(One)
So, we have:
[tex]Pr = 9/100 * 8/99 + 9/100 * 91/99 + 91/100 * 9/99[/tex]
Evaluate
Pr = 0.173
Hence, the probability that at least one of them did not go to graduation is 0.173
Read more about probability at:
https://brainly.com/question/25870256
What are the solutions of this quadratic equation x2 +x 8x 3 = 0
Answer:
-4 ± √13
Step-by-step explanation:
How many solutions does the following equation have?
53 +8 – 7x = -4x +1
=
Choose 1 answer:
А
No solutions
B
Exactly one solution
С
Infinitely many solutions
Answer:
One solution
Step-by-step explanation:
So long as you don't have any term x² or to a power higher than 2, the equation will have 1 solution only.
Similar Figures/Proportion
Answer:
around 40.2
Step-by-step explanation:
To find this you can cross multiply.
(11/15) = (x/58.8). Solve for x
So, the measure of NO is 43.12.
Complete the inequality for this graph. y < ?
Answer:
y < 2
Step-by-step explanation:
we can see that the area below y - 2, is shaded. as the line is dotted we shall use " < " sign. go two upwards from origin and that's why our value of y is 2.
The horizontal dotted line is located at y = 2 and the colored area is below that line, so the solution would be less than 2.
Answer: y < 2
HELP ME PLS ON THIS QUESTIONNN!!!!!!!!!!!!!
Step-by-step explanation:
area of trapezoid = 1/2 × (a+b) h
where a = long base
b = short base
h = height
given that, a = 8, b = 5, a of trapezoid = 104:
area of trapezoid = 1/2 × ( 8+5) h
104 = 13/2 h
104 * 2 = 13 h
13 h = 208
h = 208 / 13
h = 16.0 ft.
hope this helps you!
-s.
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base LaTeX: 8. She asks Han what he thinks will happen to the volume of the rectangular prism if she triples LaTeX: 8. Han says the volume will be 9 times bigger. Is he right? Explain or show your reasoning.
The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.
The side of the square is 8.
The height of the prism is 11.
Volume = Area of square × height.
The volume of the original prism will be.
[tex]\rm V_1 = 8 * 8 * 11\\\\V_1 = 704[/tex]
If she triples the side of the square.
Then dimensions will be
The side of the square is 24.
The height of the prism is 11.
The volume of the modified prism will be.
[tex]\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1[/tex]
Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.
More about the geometry link is given below.
https://brainly.com/question/7558603
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs? 95 (x y minus z) 110 (x y) minus 15 z 30 x 80 y minus 15 z 30 x 80 y minus 15 z.
The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
30 points for fish
80 points for Octopus
-15 points for crab
As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,
Points earned through fishes [tex]=x \times 30 = 30 x[/tex]
Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]
Points earned through crabs[tex]=z \times -15= -15 z[/tex]
Total points earned by Mona in the video game
= Points earned through fishes, octopus, and crabs
[tex]=30x + 80 y -15z[/tex]
Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.
Learn more about Expression:
https://brainly.com/question/13947055
Urgent! Ans pls
if p=-2, find the value of -2p³-3p²+4p+7
Answer:
3
Step-by-step explanation:
[tex]-2(-2)^3 - 3(-2)^2 + 4(-2) + 7\\= -2(-8) - 3(4) - 8 + 7\\= 16 - 12 - 8 + 7\\ = 3[/tex]
can someone help me with this please ?????
Answer:
180 - 55 = 125
The correct answer is B.
10 m
5.7 m
what is the area?
Answer:
57
If it's a triangle, you just take that answer and multiply it by 0.5
Step-by-step explanation:
Well if you take the two numbers and multiply them together- that is what you get. When it comes to area, you take the two side lengths and multiply them together
Answer:
57m^2
Explanation:
10 x 5.7 = 57 (because its a decimal)
m x m = m^2. or mso thats why its 57m^2
Lily exercises for a total of 150 minutes each week. She does weight training and cardio workouts. She spends more time doing cardio workouts. The difference between the time she spends on cardio workouts and the time she spends weight training is 72 minutes. How much time does Lily spend on each type of activity?
Answer:
She spends 111 minutes doing cardio workouts and 39 minutes doing weight training
Step-by-step explanation:
Call the time she spend on cardio workouts : a
And the time she spend on weight training : b
We have : a + b = 150
a - b = 72
Add them together, we get : a + b + (a-b) -> a+ b + a - b = 150 + 72 = 222
= 2a
=> 2a = 222, and we have a = 111
=> b = 150 - 111 = 39
Hope this helps :)
how many days are in 12,000 centuries
Answer: 438000000 days.
Step-by-step explanation: I'm not joking, it's actually 438000000 days.
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:)
Answer:
uh
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
5z 3 −2z 4 −9z 2 z5, z, cubed, minus, 2, z, start superscript, 4, end superscript, minus, 9, z, squared, plus, z What is the degree of the polynomial?.
Answer:
The degree of the polynomial is 4
Step-by-step explanation:
90M+5857-990+54758-123+47483=
Answer:
90,106,985
Step-by-step explanation:
90,000,000
5,857
54,758
+ 47,483
------------------
90,108,098
990
- 123
------------------
90,106,985
Answer:
i don't know if you need it still but the answer is 90106985
Need Help Quickly!
Which expressions describe the area of the shaded region? Select all that apply.
A rectangle is divided into 12 columns and 6 rows, making 72 smaller rectangles. An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded.
Answer:
c
Step-by-step explanation:
the height is 6 and the length is 12
the shaded part is 3 boxes by 3 boxes
we can write it as 3/6 by 3/12
it simplifies to 1/2 by 1/4
Answer:
A & C
Step-by-step explanation:
It is A & C!
It is A because:
You said it yourself in the last paragraph of your question:
"An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded."
A is fits the perfect description for what you said in the last paragraph.
It is C because:
C is the other answer because it's an equivalent fraction to A.
1/4 x 3/3 = 3/12
1/2 = 3/6
Hope this helps, rose <3
please help 20 pointsssss
10 Points If anyone helps me with this problem right now!
Answer: Bottom right
Step-by-step explanation:
5^0 = 1
1^-4 = 1
5^6 / 1 = 5^6
So the answer is the bottom right
6x−4=26 what is the answer
Answer:
-24
Step-by-step explanation:
6×-4=-24(divide by 4)
=-6(divide by 26)
=-0,23
what is area of ths shape
The area is 114 yards
Step-by-step explanation:
(10x9) + (4x6)
Answer:
3600
Step-by-step explanation:
multiply them all i believe im wrong tho i dont know
Which expressions are equivalent to 4 to the 5 power choose all that apply
Answer:
since you didn't put the answer choices, this is what I know...
4 to the 5 power is 1024
it can be written as:
4x4x4x4x4 or 4^5
Step-by-step explanation:
Plsss someone help me!!
Answer:
1. 6 words per minute
2. Michaela
3. Robert, Laura, Michaela
Step-by-step explanation:
what is the answer for :
94.284 multiplied by 8?
its due veryyyyy soonnnn
help
Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly. Assuming no more deposits and no withdrawals are made, how much money is in the account after 4 years? Compound interest formula:mc002-1. Jpg t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years $6,360. 00 $6,370. 78 $7,180. 89 $10,892. 13.
There is $6,370. 78 money is in the account after 4 years.
Given
Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.
Compound interestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period.
The amount after 4 years is calculate by following formula;
[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]
Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.
Substitute all the values in the formula;
[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]
Hence, there is $6,370. 78 money is in the account after 4 years.
To know more about compound interest click the link given below.
https://brainly.com/question/3068001
Answer:
it's b $6,370.78
Step-by-step explanation:
If 7 men can do a certain job in 12 days, how long would it take 6 mens to do the same job?
Answer:
about 10 days
Step-by-step explanation:
Choose the number equal to:
–16.48 ÷ 4
A. –65.92
B. –4.12
C. 4.12
D. 65.92
note that divoding a negative number and a positive number will give a negative number so.. -4.12