Solve 5.408 − 1.07
pls answer
Answer: 4.338
Step-by-step explanation: Calculator
A group of 80 people who had been diagnosed as prediabetic because of high blood glucose levels volunteered to participate in a study designed to investigate the use of cinnamon to reduce blood glucose to a normal level. Of the 80 people, 40 were randomly assigned to take a cinnamon tablet each day and the other 40 were assigned to take a placebo each day. The people did not know which tablet they were taking. Their blood glucose levels were measured at the end of one month. The results showed that 14 people in the cinnamon group and 10 people in the placebo group had normal blood glucose levels. For people similar to those in the study, do the data provide convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon?
a. No conclusion can be made about the use of cinnamon because the people in the stuey were volunteers
b. There is convincing statistical evidence at the level of 0.01
c. There is convincing statistical evidence at the level of 0.05 but not at the ver.01
d. There is convincing statistical evidence at the level of 0.10 any reason
e. There is not convincing statistical evidence
Answer:
E
Step-by-step explanation:
AP Classroom says so.
The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to calculate the value of z-test statistic for two sample proportions?Suppose we have:
[tex]\hat{p}_1[/tex] = first sample's proportion[tex]n_1[/tex] = first sample's size[tex]\hat{p}_2[/tex] = second sample's proportion[tex]n_2[/tex] = first sample's size[tex]\hat{p}[/tex] = overall proportionThen, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}[/tex]
If the level of significance = [tex]\alpha[/tex]critical value of Z is: [tex]Z_{\alpha/2}[/tex], and if [tex]Z > Z_{\alpha/2}[/tex]null hypothesis, else if [tex]Z_{\alpha/2} > Z[/tex] then we cannot reject it.
For this case, we want to know if the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.
Thus, we get our hypotheses as:
Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:
[tex]H_0: \hat{p}_1 \leq \hat{p}_2[/tex]
Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:
[tex]H_a: \hat{p}_1 > \hat{p}_2[/tex]
The test is single tailed.
For this case, we have:
[tex]x_1[/tex] = quantity of intended object found in first sample = 14 (of those who take cinnamon tablets each day)[tex]n_1[/tex] = first sample's size = 40[tex]\hat{p}_1 = x_1/n_1 = 14/40 =0.35[/tex] [tex]x_2[/tex] = quantity of intended object found in second sample = 10 (of those who take placebo each day)[tex]n_2[/tex] = second sample's size = 40[tex]\hat{p}_2 = x_2/n_2 = 10/40 =0.25[/tex][tex]\hat{p}[/tex] overall proportion = [tex](x_1 + x_2)/(n_1 + n_2) = (10 + 14)/80 = 0.3[/tex]Thus, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976[/tex]
At 0.01 level of significance ([tex]\alpha = 0.01 = 1\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 2.576[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01
At 0.05 level of significance ([tex]\alpha = 0.05 = 5\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.96[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05
At 0.10 level of significance ([tex]\alpha = 0.10 = 10\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.645[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10
Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.
Thus, we deduce that: Option E: There is not convincing statistical evidence
Learn more about two proportions z-test here:
https://brainly.com/question/4757147
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
Question 1(Multiple Choice Worth 2 points)
(10.03 MC)
Select the sentence that correctly uses a prepositional phrase.
Andy in her backpack has extra supplies.
Around the corner. Belle spotted a lost dog.
Through her binoculars, Kathryn spotted a hawk.
Mika wore under her hiking boots thick wool sock
Answer:
i think the answer is c but im soo sorry if im wrong
Step-by-step explanation:
work out the value of x.
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations
Answer:
-4x, 1y, -14
Step-by-step explanation:
Hope this helps :)
How many centimeters does it grow Bamboo grows 91 centimeters per day. per hour? (GIVING BRAINLIEST)
Answer:
3.79 centimetres
Step-by-step explanation:
1 day = 24 hours
91 ÷ 24 = 3.79 centimetres
Answer:
if the question you're asking is how many cm does bamboo grow per hour, then around 3.81 cm per hour.
Which pair of angles are supplementary angles?
A. 33, 66
B. none of the above
C. 140, 40
D. 100, 78
Answer:
C. 140, 40
Step-by-step explanation:
Supplementary angles are two angles that add up to a sum of 180°.
140+40 = 180
Solve for x.
Question 4 options:
A)
8
B)
–8
C)
9
D)
–9
Answer:
x = -9
Step-by-step explanation:
Given:
BC = x + 19
ST = x + 29
Required:
Value of x
Solution:
Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side
Thus:
BC = ½(ST)
Substitute
x + 19 = ½(x + 29)
Multiply both sides by 2
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa
Answer:
$19,500 - $1000
Step-by-step explanation:
the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns
$19,500 - $1000 = $18,500
Eddie's bedroom is shaped like a rectangle. It has an area of 208 square feet. The width of the room is 13 feet. What is the length?
Answer:
16
Step-by-step explanation:
Answer:
16 feet is the length.
Step-by-step explanation:
The area of a rectangle is A = L x W
If we know the area then:
208 = L x 13
208/13 = L
L= 16 feet
Which of the following scenarios is best represented by the scatter plot above?
Answer: B
Step-by-step explanation:
negative correlation so as x increases y decreases,
as population rises houses should rise, not A
as buildings rise, need more space and less trees, B is the answer
as cars rise population should rise, not C
no correlation, not D
Label 1/4 on the number line. Label 1/2 on the number line .
Answer:
it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth
Step-by-step explanation:
Hope that helps.
Which expression is equivalent to
y
2
Answer:
Hello!
Distributive property: a(b+c)=ab+ac
Minus and plus sign.
Then multiply by the numbers.
Hope this helps!
Thanks!
Have a great day!
Step-by-step explanation:
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
Part 3: The Space Inside! 1. Find the volume of the shipping box using the two methods and show your work: A. Packing cubes B. Using the volume formula 2. Explain how both methods provide the same measurement of volume for the shipping Let's ship. You are done! Penny and her classmates thank you, i really need help with the volume formula and the packing cubes
Answer:
Don't click the site its a scam and will give your phone a virus
1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
PLS ANSWER QUICKLY !!!
help screenshot below
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...
Answer:
It's geometric and common difference is 3
Step-by-step explanation:
15/5=3
45/15=3
Answer:
its geometric and the common ratio is 3
Step-by-step explanation:
What is the rate of change of the function y - 6x + 3?
Answer:
6
i think the - was meant to be an = instead of -
Step-by-step explanation:
rate of change is the same as slope
that is slope-intercept form.
y=mx+b
m is slope
slope= 6
Answer:
The rate of change is 6
Step-by-step explanation:
Set the equation equal to 0:
y-6x+3=0
Now solve for y because we want the equation in y=mx+b form where m is the rate
Subtract 3:
y-6x=-3
add 6x
y=6x-3
Now in y=mx+b form
m would equal 6
On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25
Answer:
$1125000
Step-by-step explanation:
45,000 x 25 = 1125000
Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.
Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
Find the probability of drawing a 10 from a standard deck
of 52 cards,
Answer:
4/52 or 1/13 (simplified)
Step-by-step explanation:
There are 4 "10's" in a pack.
This means you have the chance to pick 4 10's.
So out of 52 cards, you can get 4.
4/52 -> Which can be simplified to 1/13.
This is the probability of getting a 10 (once) in a standard deck of cards.
The probability of drawing a 10 from a standard deck of 52 cards is 1/13.
Number of 10's in a standard deck of 52 cards =4
Total cards =52
What is probability?Probability is the measurement of the possibilities of events.
P(event) =Favorable outcomes/ Total possible outcomes
Here, Favorable outcomes =4
Total possible outcomes =52
P(10) =4/52
P(10) =1/13
So, the probability of drawing a 10 from a standard deck of 52 cards =1/13
Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13
To get more about probability visit:
https://brainly.com/question/24756209
I NOW HAVE 690 PTS ALSO PLEASE HELP WITH MY MOST RECENT QUESTION
Answer:
Okay
Step-by-step explanation:
I'll see if I know the answer
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
Which polynomial is a difference of two squares? (4 points)
x2 - 12
x2 + 12
x2 – 36
x2 + 36
Answer:
[tex] {x}^{2} - 36 [/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36 \\ \\ = {x}^{2} - {6}^{2} [/tex]
Which number is equivalent to (6^2)^0
Answer:
B
Step-by-step explanation:
Anything to the 0 power is 1
What is the slope for coordinates (-1,3) (0,0) (1,-3)
Answer:
-3
Step-by-step explanation:
The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.
HELP ME OUTT PLSS BXJXID
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.