a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
a.
To test whether the expected distribution was accurate, we need to perform a chi-square goodness-of-fit test.
The null hypothesis is that the expected distribution is accurate, and the alternative hypothesis is that it is not accurate.
The expected frequencies are:
Color:
White Black Silver Rose Gold
105 122.5 70 52.5
i.e
Expected Freq:
0.3 x 350 = 105
0.35 x 350 = 122.5
0.2 x 350 = 70
0.15 x 350 = 52.5
Using the formula for the chi-square goodness-of-fit test statistic:
χ² = ∑ (Observed Frequency - Expected Frequency)² / Expected Frequency
χ² = [(99-105)²/105] + [(135-122.5)²/122.5] + [(89-70)²/70] + [(27-52.5)²/52.5]
χ² = 8.31
b.
The critical value for the chi-square test with 3 degrees of freedom (4 categories - 1) and a significance level of 0.10 is 6.251.
c.
Since the calculated test statistic (8.31) is greater than the critical value (6.251), we reject the null hypothesis that the expected distribution is accurate.
Therefore, the company cannot conclude that their expected distribution was accurate using a 10% level of significance.
Thus,
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
Learn more about hypothesis testing here:
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Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches should eat person get?
Answer:
4 inches
Step-by-step explanation:
There are six people total (derek+5 friends)
2 feet = 24 inches
24 inches divided by the 6 people = 4 inches per person
Gina is wrapping gifts for her daughter's birthday how many square inches of wrapping paper does Gina use to wrap a box 3 inches 8 inches tall 14 inches
Answer:
336 inches
Step-by-step explanation:
an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle
Answer:
12 and 78
Step-by-step explanation:
The sum of complementary angles is 90 degrees
X+(x-66) = 90
2x = 156 x = 78
78-66 = 12
yalll this is my cry for help I hate math please help mee
Answer:
195 yards
Step-by-step explanation:
I found three shapes in this irregular shape. the top rectangle is 8x13 which is 104 the middle rectangle is 7x9 which is 63 an the triangle at the bottom is 8x7 which is 56 but then you divide by 2 so it's 28 then you add that all and get 195.
What is the distance between (1, -1) and (-2,3) ?
Answer:
the answer is 5
I don’t understand, can someone help ?
Answer:
d. tan (35) = [tex]\frac{x}{10}[/tex]
Step-by-step explanation:
You must memorize the definitions of all the trig functions.
Tan of an angle = opposite side/adjacent side
In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10
So, tan 35 = x/10
2.
It took you 30 minutes (min) to walk
from home to school with the
distance of 500 meters. What is the
average speed?
Answer:
0.27778m/s woulb be my average speed
for what value of x is the equation below true?
x2+4x +5=0
Hi there!
[tex]\large\boxed{\text{None.}}[/tex]
Using the discriminant formula, we can determine if this equation is ever true:
b² - 4ac
Plug in the a, b, and c values from the equation:
(4)² - 4(1)(5)
16 - 20 = -4 < 0
Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.
What is the area of this figure?
Enter your answer in the box.
Answer:
24
Step-by-step explanation:
Area of the 1st upright rectangle: 3x4=12
Area of 2nd rectangle: rectangle: 6x1=6
area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6
1st leg=4
2nd leg=6-3=3
12+6+6
24=area
Hope this helps :)
Eli built a 3-D model of a building, as shown below. Eli wrote the following calculation to find the volume.
Which is a correct description of the error Eli made while calculating the amount of sand needed to fill the model?
A. He did not include the volume of the horizontal prism.
B. He did not include the volume of the vertical prism.
C. He included the volume of where the prisms overlap twice.
D. He included the volume of the entire horizontal prism twice.
Answer:
The answer is C!
Step-by-step explanation:
C).Answer:
Have a greattt day;)
Step-by-step explanation:
What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.
Answer:
33
Step-by-step explanation:
Add 165 and 80 to get 245. 80 times 3 = 240.
So 80 is around 1/3 of 240. In other words it is around 33%
Answer:
5
Step-by-step explanation:
Can I get help with this???
Answer:
168
[tex]3 \times 4 \times 10 + 3 \times 4 \times 4[/tex]
3a. Find the value of a.
Can you pls add work thank you for your time
Answer:
I think its 90°
Step-by-step explanation:
I dont know foe suee
Answer:
a = 98⁰
Step-by-step explanation:
According to the the triangle sum thereom, all angles in triangle add up to 180⁰.
m<a + m<b + m<c = 180⁰
m<a + 34⁰ + 48⁰ = 180⁰
m<a + 82⁰ = 180⁰
m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰
m<a = 98⁰
Hope this helps, thank you :) !!
Solve the proportion 3/x+1 = 1+2
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
3/4 to the 2nd power
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]
[tex]- Yaoii[/tex]
Points D and E are midpoints of the sides of triangle
ABC. The perimeter of the triangle is 48 units.
What is the value of t?
2
3
6
8
*ANSWER IS 2 just took the test*
Answer:
A. 2
Step-by-step explanation:
From the diagram, it is indicated;
AD = DB = 3t,
AC = 7t + 6
CE = EB = 4t
Perimeter = 48 units
Perimeter = AD + DB + AC + CE + EB
Plug in the values
48 = 3t + 3t + 7t + 6 + 4t + 4t
Add like terms
48 = 21x + 6
48 - 6 = 21x + 6 - 6
42 = 21x
42/21 = 21x/21
2 = x
x = 2
Helpppppppppppppppp
Answer:
tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd
Sorry about asking this question again
Answer:
1. 6 2. 5 3. 4 4. 3 5. 2
Step-by-step explanation:
A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?
Answer:
This is an example of self selecting sampling
Step-by-step explanation:
This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.
Help Please! SOS! ASAP!
Answer:
45
Step-by-step explanation:
If you write it out it will look like this, 2x+45+x=180
3x+45=180
3x+45=180
-45 -45
3x=135
/3 /3
x=45
Answer:
x=45
Step-by-step explanation:
Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.
1. Add like terms. 3x+45=180
2. Subtract 45 from both sides. 3x=135
3. Divide by 3 on both sides to get x by itself. x=45
4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!
HELP ASAP. What is the area of this trapezoid and the formula. Please explain your reason.
Answer:
base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630
How many terms are in this expression ? 9k + 4m
Answer:
2 terms
Step-by-step explanation:
Math 143 flooring lab
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
A pharmaceutical company is developing a new oral medication for the treatment of psoriasis, a skin disease marked by red, itchy, scaly, patches. Describe how you could design a controlled experiment to test the effect of the medication. How could you keep participants from knowing whether or not they were in the treatment group?
Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.
If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.
To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.
To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.
Answer:
Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the treatment, and withhold it from the other group. Give both groups similar looking pills, so neither knows which group they are in.
Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:
d + b = 520. d minus 80 = b.
What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.
Answer:
D
Step-by-step explanation:
Write the equation of the line in either point-slope form or slope-intercept form.
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
Use the drop-down menus to select the appropriate values in the equation.
y = _ x + _
Answer:
here you go hope this helps
Step-by-step explanation:
y= -3x + -4
Answer:
answer in picture
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLIEST ✨
Answer:
12 | 52 | 64 |
27 | 59 | 86 |
39 | 111 | 150 |
I attempted making a chart with the answers
help plzzzzzz!!!!!!!
The black line is a graph of y=x. Which of these equations could represent the blue line
Answer:
third option
Step-by-step explanation:
y = 1/2 x