11
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. A news report claims that 75% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 68 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?”
1. Do these data provide convincing evidence at the α = 0.10 significance level that the proportion of all employees in this chain who would say “Yes” differs from 0.75? 2. A 90% confidence interval for the restaurant worker data was also created and found to be (0.603272, 0.756728). Explain how the confidence interval is consistent with, but gives more information than, the test.
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
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
If I sell all 80 tickets, I will have completed Il
% of my goal.
Please help me i’m sorry
Answer:
Is that 11/3 because of rise over run??? I'm not sure
Sam spins a wheel shown below. What is the probability that it lands on
a number less than 6?*
Answer:
No wheel shown
Step-by-step explanation:
What is the size of a elephants trunk?
Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!
Step-by-step explanation:
x + 2 2/1=10
HELPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
x+4=10x=6 Give brainlistA class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answer:
Step-by-step explanation:
I am having an issue in figuring out how the answer is 247,700.
Answer:
its 1,108,582
Step-by-step explanation:
u add them to get how much it fits
NEED HELP! MATH 256 SQUARED!15 PTS ONE BRAINLYIST
Answer:
bxhebgrbf brcjfrbv5nk
Step-by-step explanation:
Hi! My teacher shows us a video and thats it, so I'm really struggling on our math test today. Can you help me answer this question? Thank you :)
Answer:
A and E
Step-by-step explanation:
Alexis was making cupcakes for the town bake sale. She decorated 9
cupcakes in 30 minutes. If Alexis continued decorating cupcakes at
this rate, how many cupcakes would she decorate in 2 hours?
Johnny said that Alexis would be able to decorate 18 cupcakes in 2
hours. Is Johnny correct? If not, explain his mistake and identify the
correct solution.
Answer:
Incorrect
Step-by-step explanation:
because it takes 30 min to bake 9 which is half an hour, and if if you multiply 9 by 4 which 30 mins each it would be 36 cupcakes in 2 hours.
A toy made of connecting blocks is in the shape below. Find its total volume.
Answer:
D) 312 cubic yards
Step-by-step explanation:
large box = 9x8x4=288
small box = 2x3x4=24
288+24=312
How many of the following polygons are CONCAVE
Find the missing side of the triangle, leave answer in simplest radical form.
Answer:
x = [tex]\sqrt{15^{2}-13^{2}[/tex]Step-by-step explanation:
Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35
Answer:
40
Step-by-step explanation:
100/2.5=40
What is the value of 3 in the figure shown below?
E
с
20
3.6 3.6
118°
3.8 3.8
30
D
B
9514 1404 393
Answer:
32
Step-by-step explanation:
Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.
∠E = 180° -118° -30° = 32°
The value of x is 32.
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
f x 3=8
Step-by-step explanation:
Estimate the quotient of
1,483 ÷ 4.
b. Name all three angles
listed in the figure below:
C. Solve for X
Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?
Answer:
448 oz.
Step-by-step explanation:
28x16 = 448
Answer:
448 ounces
Step-by-step explanation:
1 pound = 16 ounces
16x28=448
Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
plz help me with this
Answer:
You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employeeEstimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot.
Hello there!
Area = Length * Width
Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]
Area = [tex]\frac{5}{18}[/tex]
Thanks!
~Garebear
What is the value of "2 + 3x" if x = ½? *
Answer:
3.5 or 3 1/2
Step-by-step explanation:
2 + (3*1/2) = 3.5, which is equal to 3 1/2.
Answer:
Mixed fraction: 3 1/2
Improper fraction: 7/2
Step-by-step explanation:
2+3/2
1 1/2+2= 3 1/2
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 :)
Pls help im failing I’ll brainlest for the right answer
Answer:
65 miles per hour
Step-by-step explanation:
According to exponent rules, when we multiply powers we______
the exponents.
Pick one-
divide
add
multiply
subtract
Answer:
Add
Step-by-step explanation:
Rebecca is making halloween costumes. She pays $6.72 for 3 yards of fabric. What is the unit cost of the fabric?
Answer:
$2.24
Step-by-step explanation:
To find the unit cost, you divide 6.72 by 3, which is 2.24.
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).