A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race during the past month. Do these data provide statistical evidence at the α = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answers
Answer:
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Step-by-step explanation:
We are given;
Number of males selected; n₁ = 150
Number of females selected; n₂ = 190
Proportion of the males; p₁ = 0.6
Proportion of females; p₂ = 0.5
Let's define the hypotheses;
Null hypothesis; H0: p₁ ≥ p₂
Alternative hypothesis; Ha: p₁ < p₂
Now, the z score formula for this is;
z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))
Where;
p^ = (p₁ + p₂)/2
p^ = (0.6 + 0.5)/2
p^ = 0.55
Thus;
z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))
z = 0.1/0.0543
z = 1.84
From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;
P-value = 0.033
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.
Related Questions
3) Find the area of the composite figure.
8 cm
2 cm
a. 44 cm
6 cm
5 cm
b. 50 cm?
5 cm
2 cm
c. 36 cm
8 cm
d. 22 cm
Answers
Answer:
8
Step-by-step explanation:
Your answer would be (C) 36
Just added up all of the numbers
Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)
4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0
Answers
Answer:
Step-by-step explanation:
From the given information;
We will realize that in the 2nd & 3rd equation, the integer "x" is missing.
So, the correct equation should be:
4x - 2 + 6z = 0
x - y - z = 0
2x - y + 3z = 0
By rearrangement; if we switch equation (1) and (2)
x - y - z = 0 ----- (1)
4x - 2 + 6z = 0 ------ (2)
2x - y + 3z = 0 ------ (3)
If we multiply equation (1) and add that to equation (2);
Then, we have:
x - y - z = 0
2y + 10z = 0
2x - y + 3z = 0
Also, if we multiply equation (1) by -2 and add that to equation (3), we have:
x - y - z = 0
2y + 10z = 0
y + 5z = 0
From above recent equation, if we swap equation (2) and (3);
x - y - z = 0
y + 5z = 0
2y + 10z = 0
Then, multiply equation (2) with -2, followed by adding it to equation(3);
Then:
x - y - z = 0
y + 5z = 0
0 = 0
Now, there exists no equation (3). Thus, let assume z = t to solve for x & y
y + 5z = 0
y = -5t
Similarly;
x - y - z = 0
x = -5t + t
x = -4t
Hence;
x = -4t; y = -5t; & z = t
A report summarized a survey of 2305 working adults (representative sample of all working adults). The report indicates that 484 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Obtain a point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Select the correct answer, including appropriate notation.
Answers
Answer:
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
Step-by-step explanation:
Point estimate of a proportion:
The point estimate of a proportion, from a sample, is the sample proportion.
In this question:
2305 working adults, 484 said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. This means that:
[tex]p = \frac{484}{2305} = 0.21[/tex]
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
(08.01)Two lines, A and B, are represented by the following equations:
Line A: 2x + 2y = 8
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
O It is (2, 2).
There is no solution.
Answers
Answer:
there is no solution
Step-by-step explanation:
both of the lines have the same slope making them parallel so there is no solution
6 = 14 - x
One step equations review
Answers
Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
Answer:
x=8
Step-by-step explanation:
To solve for x...
6 = 14 - x
Subtract 14 from both sides
6 - 14 = - x
Simplify
- 8 = - x
divide the - symble out of both sides to get x alone
x = 8
Verify the identity.
sin x/1-cos x = csc x + cot x
Answers
Answer:
See below for proof
Step-by-step explanation:
[tex]\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x[/tex]
Please help!!!!! ASAP it’s a checkpoint
Answers
Answer:
Option A. x = –5 ± √133 / –6
Step-by-step explanation:
0 = –3x² + 5x + 9
From the above equation the following data were obtained:
Coefficient of x² (a) = –3
Coefficient of x (b) = 5
Constant (c) = 9
Using formula method, the solution to the equation can be obtained as follow:
x = –b ± √(b² – 4ac) / 2a
a = –3
b = 5
c = 9
x = –5 ± √(5² – 4 × –3 × 9) / 2 × –3
x = –5 ± √(25 + 108) / –6
x = –5 ± √133 / –6
Thus, option A gives the correct answer to the question.
Raquel's Brownies
Raquel has 4 brownies. She wants to give an equal share to each
of her friends. How would Raquel share these brownies equally among herself
and 8 friends? How much of the brownies will each person get? Use words,
pictures, and an equation to explain your thinking.
Estimate
Answers
Answer:
each person will get half of a brownie
Step-by-step explanation:
4 divided by 8 is 1/2 so you'll have to split each brownie in half and give each person half
In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?
Answers
Answer:
43,200
Step-by-step explanation:
25,000x .20=5,000
30,000 x .20=6,000
36,000x.20=7,200
43,200x.20=8,640
51,840x.20=10,368
HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI
WHY DID YOU EVEN PUT THIS NAME??
Answers
Answer:
free points ty
Give Brainliest for the correct Answer 50 points
Answers
Answer:
x-30
Step-by-step explanation:
Answer: 5(x-2)=40 5x-10 = 40 5x=50 x=10
Step-by-step explanation:
^
please help me I dont understand this question
Answers
Answer:
sinx=opp/hyp=6/10=0.6
x=sin-(0.6)=37°
The square of a whole number is between 400 and 500. The whole number must be between:
Answers
Answer: 20-23
Step-by-step explanation: 200^2 is 400 so the number must be greater and 23^2 is greater than 500 so it must be lass than 23.
What's the height if a triangle with area of 20 units2
Answers
Answer:
10
Step-by-step explanation:
20/2=10
The balance in Susan's checking account was $245.35. After the bank deposited interest into the account, her balance went to $248.02. How much interest did the bank pay Susan
Answers
Answer:
I think 2.67
Step-by-step explanation:
what is the cube root of 343/8?
Answers
Answer:
970.150503788
Step-by-step explanation:
the answer is 0.875 soo use square root on both of them
CONVERT THE PERCENTAGES FRACTION 130%
Answers
Answer:
13/10
Step-by-step explanation:
Its 13/10...
please give brainliest
Answer:
13/10
Step-by-step explanation:
find all solutions (x,y) of the given system, where x and y are real numbers.
xy=8
y=-x^2
Answers
Work Shown:
xy = 8
x(-x^2) = 8
-x^3 = 8
x^3 = -8
x = cube root of -8
x = -2
y = -x^2
y = -(-2)^2
y = -4
You can use a graphing tool like Desmos or GeoGebra to plot the two curves. Notice they intersect at (-2,-4) to confirm the answer. See the diagram below.
Pls help!
Which figure is a prism?
Answers
Answer:
the first red one, it's a triangular prism
Step-by-step explanation:
the second one is a triangular pyramid
the rest (third and fourth one) are square pyramids
Answer:
Its the first one
Step-by-step explanation:
Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.
mark brainliest please.
39 is what percent of 52?
Answers
Answer:
1.3 percent
Step-by-step explanation:
Which answer is correct? If someone is good at math, plz help asap. I Will give out Brainlist to whoever helps me.
Answers
Answer:
picture is upside down
what is the measure of angle xyz?
Answers
Answer:
The answer is B. 93
Step-by-step explanation:
186/2 is 93
Answer:
welp now i can add my answer although the other dude got it before me so yea other person is right
Step-by-step explanation:
solve plsssssssssssss
Answers
Answer:
7/24 is x and 24/25 is y :)
Step-by-step explanation:
hopefully that helped
g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Find cov(Z, W)
Answers
Answer: hello your question is incomplete below is the complete question
Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )
answer : Cov ( Z, W ) = -1
Step-by-step explanation:
Z = 11 - X + X²Y
w = 3 - Y
Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )
= Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )
attached below is the remaining part of the detailed solution
hence
Cov ( Z, W ) = -1
Ill MARK brainiest
How many cubic blocks of side length 1/6
inch would it take to fill a
cube with a side length 2/6 of inch?
Answers
Answer:
8
Step-by-step explanation:
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answers
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
ABCD is reflected over both axes
Step-by-step explanation:
I got it right on my quiz
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
Answers
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Answers
Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
A survey is being conducted to decide on how much time people spend watching sports on television. Tell whether the given sample is biased or unbiased. Explain your answers. (NOT A MULTIPLE CHOICE)
1. Every fifth person who enters Little Casesars Arena for a Red Wings game
2. Every tenth name in the phone.
Answers
Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,
For sample 1, Every fifth person who enters Little Casesars Arena for a Red Wings game. This is not biased because no person is more likely to be selected than another
For sample 2, Every tenth name in the phone. This is also not biased
because no person is more likely to be selected than another