Do men and women participate in sports for the same reasons? One goal for sports participants is social comparison - the desire to win or to do better than other people. Another is mastery - the desire to improve one's skills or to try one's best. A study on why students participate in sports collected data from independent random samples of 70 male and 70 female undergraduates at a large university. Each student was classified into one of four categories based on his or her responses to a questionnaire about sports goals. The four categories were high social comparison-high mastery (HSC-HM), high social comparison - low mastery (HSM-LM), low social comparison-high mastery (LSC-HM), and low social comparison - low mastery (LSC-LM). One purpose of the study was to compare the goals of male and female students. Here are the datadisplayed in a two-way table:Observed Counts for Sports GoalsGoalHSC-HMHSC LMLSC-HMLSC LMFemale 16 6 23 25Male 33 19 4 14a) Calculate the conditional distribution (in proportions) of the reported sports goals for each gender.b) Make an appropriate graph for comparing the conditional distributions in part (a).c) Write a few sentences comparing the distributions of sports goals for male and female undergraduates. d) Find the expected counts and display them in a two-way table similar to the table of observed countse) Do the data provide convincing evidence of a difference in the distributions of sports goals for male and female undergraduates at the university? Carry out an appropriate test at the a=0.05 significance level

Answers

Answer 1

Comparing the distributions of sports goals for male and female undergraduates, we can see that a higher proportion of male students reported high social comparison goals (HSC-HM and HSC-LM) compared to female students, while a higher proportion of female students reported low social comparison goals (LSC-HM and LSC-LM) compared to male students.

The conditional distribution (in proportions) of the reported sports goals for each gender are:

Female:

HSC-HM: 16/70 = 0.229

HSC-LM: 6/70 = 0.086

LSC-HM: 23/70 = 0.329

LSC-LM: 25/70 = 0.357

Male:

HSC-HM: 33/70 = 0.471

HSC-LM: 19/70 = 0.271

LSC-HM: 4/70 = 0.057

LSC-LM: 14/70 = 0.2

A stacked bar chart would be an appropriate graph for comparing the conditional distributions.

The chart would have two bars, one for each gender, with each bar split into four segments representing the four categories of sports goals.

Comparing the distributions of sports goals for male and female undergraduates, we can see that a higher proportion of male students reported high social comparison goals (HSC-HM and HSC-LM) compared to female students, while a higher proportion of female students reported low social comparison goals (LSC-HM and LSC-LM) compared to male students.

In terms of mastery goals, the proportions are relatively similar between male and female students.

To find the expected counts, we need to calculate the marginal totals for each row and column, and then use these to calculate the expected counts based on the assumption of independence.

The results are displayed in the table below:

Observed Counts and Expected Counts for Sports Goals

Goal HSC-HM HSC-LM LSC-HM LSC-LM Total

Female (Observed) 16 6 23 25 70

Expected 19.1 10.9 23.9 16.1 70

Male (Observed) 33 19 4 14 70

Expected 29.9 17.1 3.1 19.9 70

Total 49 25 27 39 140

To test whether there is a difference in the distributions of sports goals for male and female undergraduates at the university, we can use a chi-squared test of independence.

The null hypothesis is that the distributions are the same for male and female students, and the alternative hypothesis is that they are different. The test statistic is calculated as:

chi-squared = sum((observed - expected)² / expected)

Using the values from the table above, we get:

chi-squared = (16-19.1)²/19.1 + (6-10.9)²/10.9 + (23-23.9)²/23.9 + (25-16.1)²/16.1 + (33-29.9)²/29.9 + (19-17.1)²/17.1 + (4-3.1)²/3.1 + (14-19.9)²/19.9

= 10.32

The degrees of freedom for the test are (number of rows - 1) x (number of columns - 1) = 3 x 3 = 6 (since we have 2 rows and 4 columns).

Using a chi-squared distribution table with 6 degrees of freedom and a significance level of 0.05, the critical value to be 12.59.

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Related Questions

HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

Please help!!!!!! I will give brainliest!!

Answers

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

Simplify the expression

Answers

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

In ionic bonding, it tends to do which of the following

Answers

Answer:

Transfer of electrons

Form Crystals

High boiling & melting points

Dissolve in water

Good conductor of electricity

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2​

Answers

Answer:

Step-by-step explanation:

Car 2 is traveling faster than Car 1. Option B is correct.

Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second


Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2  is faster than car 1.

Thus,  Car 2 is traveling faster than Car 1. Option B is correct.

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4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.​

Answers

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50

Una araña de 75g de masa está suspendida de la telaraña que tejio poniéndola en el techo, cómo se muestra en la siguiente figura.
¿cuál es el valor de las tensiones en los hilos de las telarañas unidos al techo? ​

Answers

100 gallon tbh rn because the spider ddint take much

Please help me find x

Answers

you have to find the angles inside the triangle first so

- 180-109 = 71° (angles on a straight line add up to 180°)

- 55° (vertically opposite angles)

71+55= 126

180-126= 54

x=54°

Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5

Answers

Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

help please
-8+(-5)+9+11= ​

Answers

Answer:

=7

Step-by-step explanation:

= -8+(-5)+9+11

= -8-5+20

= -13+20

= 7

-8 - 5 + 9 + 11

-13 + 9 + 11

-4 + 11
= 7

Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?

$24,000
$24,000

$2,400
$2,400

$4,800
$4,800

$600

Answers

2,400 I believe because look at it he has a rate of 5%

35x+0.10(100-x)

what’s the answer for this i’ve tried but can’t figure it out someone help me!!!

Answers

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

 

x

=−1

x=0

Step-by-step explanation:

The function g is defined by g(x) = 3x+4.

Find g(z+3).

I really need help with these Aleks assignments, can someone help me with them?

Answers

Answer:g(x) = (x+3)/(x2-4)

 

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

 

g(x) = (x+3)/((x+2)(x-2)

 

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

 

(-∞,-2)U(-2,2)U(2,+∞)

 

On a number line, draw it as follows:

 

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

please help me will give brainliest

Answers

Answer:

82°

Step-by-step explanation:

[tex] \triangle ABC\sim \triangle PQR... (given) [/tex]

[tex] \therefore m \angle Q = m \angle B... (cast) [/tex]

Therefore,

8x + 50 = 3x + 70

8x - 3x = 70 - 50

5x = 20

x = 20/5

x = 4

[tex] m \angle Q [/tex] = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°

in the presidential election of 1860, 39.9% of the voters voted for abraham lincoln and 29.4% of the voters voted for stephen douglas. what percent voted for other candidates?

Answers

Answer:

It's 30.7%

Step-by-Step Explanation:

30.7 hope this helps

Does the equation 5(x−3)+6=5x−9 have one, none, or an infinite amount of solutions?

Answers

It has infinite amount of solutions

Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!

Answers

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

I need to find what x

Answers

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Escribe las siguientes cantidades en forma de notación científica

a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros ​

Answers

Answer:

I don't know. I am sorry

Step-by-step explanation:

Which expression is equivalent to 4(6x + 12)
a) 68
b) 68x
c) 24x + 48
d) 24x + 12

Answers

Answer:

hello! :) have a good day!

C). 24x + 48

Answer:

c

Step-by-step explanation:

4(6x+12)

4(6x)+4(12)

24x+48

7 (4.3 + p)
note p=5.7

Answers

Answer:

70

Step-by-step explanation:

Replace p with 5.7.

7 (4.3 + p) = 7 (4.3 + 5.7)

                = 7 (10)

                = 70

Answer:

4.3 + 5.7 = 10

7 * 10 = 70

Hence, 70 is the answer

Hope it helps

Please mark me as the brainliest

Thank you

a cow is tied to a pole fixed at the mid-point of a side of a square field of side 40m by means of a 14m long rope find the area that cow can graze pls explain​

Answers

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

What is the value of 3n if n=2

Answers

Answer:

6

Step-by-step explanation:

3n=3(n)

ur replcing n with 2

3(2)=3x2

3x2=6

Answer:

6

Step-by-step explanation:

3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.

plug in 2 for n:

3n ⇒ 3(2)

multiply 3(2):

3(2) = 6

therefore, when n = 2, 3n = 6.

Use the ratio table to solve the percent problem.



What percent is 6 out of 30?


2%

6%

20%

30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.

Answers

Answer:

20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪

Step-by-step explanation:

denada ┌(・。・)┘♪

Answer:

20%

Step-by-step explanation:


please helppppppp

give u 10 pts​

Answers

Answer:

y = x / -4

Step-by-step explanation:

Hope that helps!

Use desmos calculator graphing. Tap the plus. Tap table. Enter x1 on one side and y1 on the other. Enter the data for each side. Make a new equation and Use the following formula: y~ab^x1 = y=0.18(0.74)^x

The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7​

Answers

Answer:

D) 2 and 7

Step-by-step explanation:

x+y=9

x-y=5

----------

2x=14

x=14/2=7

7+y=9

y=9-7=2

the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?

Answers

Answer:

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

Step-by-step explanation:

The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.

Given

[tex]P = (x,-\frac{5}{7})[/tex]

Required

Determine the possible value of x

Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:

[tex]x^2 + y^2 = 1[/tex]

Substitute -5/7 for y

[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]

[tex]x^2 + \frac{25}{49} = 1[/tex]

Collect Like Terms

[tex]x^2 =1- \frac{25}{49}[/tex]

Take LCM

[tex]x^2 =\frac{49 -25}{49}[/tex]

[tex]x^2 =\frac{24}{49}[/tex]

Take the square root of both sides

[tex]x =\± \sqrt{\frac{24}{49}}[/tex]

[tex]x = \±\frac{\sqrt{24}}{7}[/tex]

[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]

Split

[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?

Answers

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

okay so last time my file did not show up so lets try again

Answers

Answer:

you are correct

Step-by-step explanation:

5 - 2(x + 2)

Since parenthesis comes first in PEMDAS, distribute 2

5 - 2x - 4 = 1 - 2x

When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)

Answers

Answer:

(6,0)

Step-by-step explanation:

If the y-coordinate is 0, it is lying on the x-axis

Same with the x-coordinate. If it is 0, it is lying on the y-axis

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