Hypothesis test on the proportion of employees, gives an evidence
based conclusion which is consistent with the confidence interval.
Response:
There is insufficient or no convincing statistical evidence to conclude that the proportion differs from 0.75The confidence interval indicates that the proportion of workers that feel that work stress has a negative impact on their lives is between 0.603272 and 0.756728, a proportion that includes 0.75, which is consistent with the test, and also provides the minimum and maximum expected proportion at 95% confidence level.How can the test of the hypothesis be performed?1. The percentage of workers that the news report claims work stress have a negative impact on their personal lives, p = 75%
Number of employees in the sample, n = 100
Number that answered yes = 68
The null hypothesis is, H₀: p = 0.75The alternative hypothesis is, Hₐ: p ≠ 0.75The proportion of the employees that said yes, [tex]\hat p[/tex] = 68 ÷ 100 = 0.68
The z-test formula is; [tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
q = 1 - p
Which gives;
[tex]z= \mathbf{\dfrac{0.68-0.75}{\sqrt{\dfrac{0.75 \times (1 - 0.75)}{100}}}} \approx -1.62[/tex]
The p-value ≈ 2 × p(Z < -1.62) = 2 × 0.0526 = 0.1052
The significance level, α = 0.10
Given that the p-value is larger than the significance level, we fail to
reject the null hypothesis, and conclude that as follows;
There is insufficient convincing statistical evidence that the proportion differs from 0.75.2. The 90% confidence interval is (0.603272, 0.756728)
The confidence interval indicates that at 90% confidence level, the true
proportion of employees that feel that work stress has a negative
impact on their personal lives is between 0.603272 and 0.756728.
The report claim of 75% or 0.75 is within the confidence interval, which consistent with the hypothesis testThe information in the confidence interval also indicates that at 90% confidence level, the proportion of the employee that say yes is between (0.603272, 0.756728), thereby giving more informationLearn more about hypothesis testing here:
https://brainly.com/question/23082833
The following are the distances (in miles) to the nearest airport for 14 families.
13, 14, 19, 21, 21, 22, 26, 28, 34, 35, 36, 41, 43, 44
Notice that the numbers are ordered from least to greatest.
Give the median, lower quartile, and upper quartile for the data set.
(a) Median:
(b) Lower quartile:
(c) Upper quartile:
two actions that are inverses of each other and explain how one action "undoes" the other.
Answer:
jayfeather friend me
Step-by-step explanation:
The inverse functions “undo” each other, You can use composition of functions to verify that 2 functions are inverses. When you compose two inverses… the result is the input value of x. 3 3 g x x = Because f(g(x)) = g(f(x)) = x, they are inverses.
What is the equation?
Answer:
y=-2+4
Step-by-step explanation:
we know the y intercept is four, so we can plug that into y=mx+b
so far we know y=mx+4
and the equation for finding slope is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
so let's find two points on the graph
let's make it easy on ourselves and use the points laid out for us
(0,4) and (2,0)
[tex]\frac{0-4}{2-0}[/tex]
solving that would come out to be [tex]\frac{-4}{2}[/tex]
simplified, that would be -2
now that we know the slope, we can put them into slope-intercept form
y=-2+4
Please answer 1 and 2 soon
Answer:
1.36+3+(32)(2)
=57
error is that 6 is the wrong answer
anyone watch anime... im trying to give out some points :)
Answer:
I do not...
Step-by-step explanation:
but I want to...
Answer:
I have never watched anime like whats it for lol
ok so 8m confused because I don't know if it's Perimeter or area but please help me
hey just tell me is it a right angled triangle or not?
16 points + BRAINLIEST if your answer is correct!
Answer:
second one
112 red tomatoes
Step-by-step explanation:
8 - 5 = 3
42/3 = 14
14 times 8 = 112
23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?
Answer:
460%
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
I think 9
Step-by-step explanation:
Answer:
I am probably wrong because I don't remember this but it might be 9 or 19
Step-by-step explanation:
4+2+2+1=9=9+9=18
Bert has 40% more jelly beans than Vicki. What fractional part of Bert's
jelly beans must be given to Vicki so that they each have the same number
of jelly beans? Express your answer in lowest terms.
Answer:
2/5
Step-by-step explanation:
If Vicki has 100 jelly beans then Bert would have 140. Bert would have to give 40 out of his 140 to Vicki or 40/100 -> 4/10 -> 2/5. Bert would have to give 2/5 of his jelly beans to Vicki.
a basket is filled with apples. there are 10 green apples, which is 25% of the total number of apples in the basket. which equation can be used to determine x, the total number of apples in the basket?
Answer:
X=10 times 4
Step-by-step explanation: 10 =25 percent, 25 times 4 equal 100 percent, 10 times 4 is x
solve for the roots in simplest form by completing the square
x^2-12x+20=0
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
Answer:
The right answer is B.
Step-by-step explanation:
To be sure if three sides could be used to form a triangle, you need to remember that two sides of a triangle added together is always greater than the final side. B is the only selection that does not work for the law, 3 + 5 = 8 which is smaller than 10, so the corrct answer is B.
Sharla spent twice as long riding her bike as she spent doing chores. Her chores included cleaning her room and walking her dog for 20 minutes. Sharla rode her bike for 60 minutes. How much time did she spend cleaning her room?
Answer:
Ten minutes.
Hope that helps!
Help me please, I want the answer only.
Answer:
6 I guessed by looking at the equation
Step-by-step explanation:
Sorry if wrong
This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section
Answer:
area of cross section of cylinder is inch²
Step-by-step explanation:
Given : Cylinder is 7 inch tall and has a volume of inches³.
We have to find the area of cross section of cylinder.
Area of cross section of cylinder =
To find the cross section first find radius.
Given Volume of cylinder = inches³
Also , Volume of cylinder =
Thus,
Divide both side by 7, we get,
On simplifying , we get,
Since, radius has to be positive, thus neglecting negative term.
Thus, radius of cylinder = 3 inch
Thus, area of cross section of cylinder =
area of cross section of cylinder =
Thus, area of cross section of cylinder is inch²
Step-by-step explanation:
Please help will mark brainlist .
Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?
Answer:
No, it is not.
Step-by-step explanation:
Answer: The answer is no.
Step-by-step explanation: Plug in the values of -x + y = 1. -3 + 5 [tex]\neq[/tex] 1, and even if the other equation works out, the system of equations would not be valid.
Please help anyone im begging
Answer:
A- Root 16
B- Root 27
C- Root 32
Step-by-step explanation:
So A is root 16 because root 16 is equal to 4.
B is root 27
And C is root 32
Mrs. Rogers sold 48 out of 80 crafts at the fair. What
percent of her crafts did she sell?
Answer:
She sold 60% of her crafts.
Step-by-step explanation:
48/80 = 0.6
please mark me brainliest :)
Answer:
60%
cuz 48 / 80 = .6 convert .6 into a percentage which is 60%...
can i be brainiest...
What is the GCF of 18 and 45? fast!!
Answer:
The GCF of 18 and 45 is 9For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them.
For 18 and 45 those factors look like this:
. Factors for 18: 1,2,3,6,9 and 18
. Factors for 45: 1,3,5,9,15 and 45
As you can see when you list out the factors of each number, 9 is the greatest number that 18 and 45 divides into.
Step-by-step explanation:
l hope it helps❤
Answer:
9 is it HOPE THIS HELPS
What is the equation of a parabola with vertex (-5,6) and a=3
A y = 3(x + 5)2 – 6
By= 3(x + 5)2 + 6
y = 5(x - 3)2 – 6
Dy=3(x - 6)2 – 5
Answer:
Step-by-step explanation:
y = 3(x+5)² +6
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
32
Step-by-step explanation:
i just did 4 times 4 and add it to 8 times 2
Answer:
The area of the figure is 28.
Step-by-step explanation:
First, split it into a square and a trapezoid.
Then calculate the area of each of them.
Square = 4 times 4 = 16
Trapezoid = ((4 + 2)/ 2)*4 = 12
12 + 16 = 28
I hope this helps :)
The sales tax on a $150 DVD player is $6. What is the sales tax rate?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 60
Step-by-step explanation:
How to find what percent of X is Y. Use the percentage formula: Y/X = P% Example: What percent of 60 is 12? Important! The result will always be in decimal form, not percentage form.
(i know this isn’t the clearest formula but its what i used)
Answer:
60
Step-by-step explanation:
To make this problem a little easier, think of 80% as 4/5.
(4/5 = 48/x) ~the unknown is represented by x
After cross multiplying, or "the butterfly method" you would get:
4x = 5(48)
4x = 240
240/4 = 60!
A line passes through the point (8,-6) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answer:
y = 3/2x - 18
Step-by-step explanation:
y = mx + b
-6 = 3/2(8) + b
-6 = 12 + b
b = -18
plz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need help
Answer:
the answer should be 9
Step-by-step explanation:
[tex](256 * 3^{-5} * 6^{0} )^{-2} * (\frac{3^{-2}}{2^{3}} )^{4} * 2^{28}[/tex]
[tex](256*\frac{1}{3^{5}} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]
[tex](256*\frac{1}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]
[tex](\frac{256}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]
[tex](\frac{256}{243})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]
[tex](\frac{243}{256})^{2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]
[tex]\frac{59049}{65536}*(\frac{1}{2^{3}*3^{2}})^{4}*2^{28}[/tex]
[tex]\frac{59049}{65536}*(\frac{1}{8*9})^{4}*2^{28}[/tex]
[tex]\frac{59049}{65536}*(\frac{1}{72})^{4}*2^{28}[/tex]
[tex]\frac{59049}{65536}*\frac{1}{26873856}*2^{28}[/tex]
[tex]\frac{9}{65536}*\frac{1}{4096}*2^{28}[/tex]
[tex]\frac{9}{65536*4096}*2^{28}[/tex]
[tex]\frac{9}{268435456}*268435456[/tex]
[tex]9[/tex]
Answer:
the answer should be 9
Step-by-step explanation:
please mark me brainliest thanks so much i really appreciate it!
hope you have an amazing rest of your day and thanks for your time!
Would you prefer a high or low-interest rate for a savings account? for a loan? Explain for both.
explanation:
Low interest rates are better than high interest rates when borrowing money, whether with a credit card or a loan. A low interest rate or APR (annual percentage rate) means you're paying less for the privilege of borrowing over time. High interest rates are only good when you're the lende
-by TheRealMarinette
Solve the system of equations by elimination. Explain your reasoning or show your work.
9514 1404 393
Answer:
(x, y) = (5, 4)
Step-by-step explanation:
Subtracting the second equation from the first eliminates the x term.
(4x +6y) -(4x +2y) = (44) -(28)
4y = 16 . . . . simplify
y = 4
Using the second equation to find x, we have ...
4x +2(4) = 28
x + 2 = 7 . . . . . . divide by 4
x = 5 . . . . . . . . . subtract 2
The solution is (x, y) = (5, 4).
Forest Gump walks 30 miles a week for exercise. He has completed 45%
of his weekly goal. How many more miles does Forest have to walk to
meet his goal? *
A. 16.5
B. 13.5
C. .45
D. 20
Answer
A. 16.5
Step-by-step explanation:
First you calculate what 45% of 30 is. Then you subtract that from 30.
