Answer:
The calculated χ² = 20.779 falls in the critical region χ² ≥ 14.46 so we accept the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the college undergraduates students do not differ from the general public with regard to their favorite sport
H0: μ1= μ2=μ3=μ4= μ5=μ6=μ7=μ
against the claim
Ha: the college undergraduates students differ from the general public with regard to their favorite sport
2) The significance level alpha is set at 0.05
3) The test statistic under H0 is ( Pearson goodness of fit test )
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 6 (n-1) d.f
4) Computations:
Under H0 , the observed frequencies are :
Observed Expected (O-E) (O-E)² (O-E)²/E
111 (0.33*344)=
113.52 -2.52 6.3054 0.0555
39 51.6 -12.6 158.76 3.0767
46 34.4 11.6 134.56 3.911
14 20.64 -6.64 44.0896 2.136
6 17.2 -11.2 125.44 7.293
20 17.2 2.8 7.84 0.4558
108 89.44 18.56 344. 4736 3.8514
344 20.779
5) The critical region is χ² ≥ χ² (0.025)6 = 14.45
6) Conclusion:
The calculated χ² = 20.779 falls in the critical region χ² ≥ 14.46 so we reject the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.
Given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.
Since the Harris Poll tracks the favorite sport of Americans who follow at least one sport, and results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%, considering a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:
Professional Football = 111 Baseball = 39 Men's college football = 46 Auto racing = 14 Men's professional basketball = 6 Ice Hockey = 20 Other Sports = 108
To determine if college undergraduates students differ from the general public with regard to their favorite sports, the following calculation must be performed:
Pro football = 111/344 = 0.3226 = 32.26% (-0.74). Baseball = 39/344 = 0.1133 = 11.33% (-3.67). Men's college football = 46/344 = 0.1337 = 13.37% (+3.37). Auto racing = 14/344 = 0.0406 = 4.06% (-2.94). Men's professional basketball = 6/344 = 0.0174 = 1.74% (-3.26). Ice Hockey = 20/344 = 0.0581 = 5.81% (+0.81). Other Sports = 108/344 = 0.3139 = 31.39% (+5.39).
Therefore, given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.
Learn more about percentages in https://brainly.com/question/6498833
Pls help me I’ll brainlest I need a good grade on this
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?
Answer:
Step-by-step explanation:
x+y = 360
y = 360-x
x = 4y-10
x = 4(360-x)-10
x = 1440-4x-10
5x = 1430
x = 286°
Answer:34
Step-by-step explanation:
WHY DOES NO ONE REPLY TO MY Q"S!!!!!!
In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940.
Answer:
117 is the smaller value and 231 is the larger value
Step-by-step explanation:
Standard deviation is 57
Middle 50% is average and one standard deviation to each direction
So if the average is 174
174 - 57 is 117
174 + 57 is 231
Find the value of x for this figure
Answer:
x = 101°
Step-by-step explanation:
15 + 25 + 39 + x = 180
79 + x = 180
x = 101
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER
5 divided by 3670 equals
Answer:
.0013623978
Step-by-step explanation:
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
300\12.50
Step-by-step explanation:
that will be your answer bra
Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit
a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?
Answer:
5
Step-by-step explanation:
Answer:
5 buses
Step-by-step explanation:
77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used
Evaluate the quotient of 1.05 x 103 and 1 x 103
Answer:
for the 1st one it is 108.15x
and the 2nd it is 103x
Step-by-step explanation:
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36
helppppppppppppppppppp
Answer:
c
Step-by-step explanation:
3a + 2 = 2a + 7
a +2 = 7
a = 5
Answer:
I believe it's A.) [tex]\frac{9}{5}[/tex]
It can though, be C.) 5
I might be wrong about A.
Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2
Hello!
So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.
(LEAST TO GREATEST):
3/2, 1 8/11, -28/5, -5.2
________________________________
(GREATEST TO LEAST):
-5.2, -28/5, 1 8/11, 3/2
________________________________
There you go, I hope this helps! Have a great day/night and stay safe! :)
Just pick the one that you were suppose to find the answer for. :)
The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?
Answer:
(-1, 2)
Step-by-step explanation:
find the angle of elevation from c to a
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol
Glven the value of cos 60° -0.5, enter the sine of a complementary angle. Use an
expression relating trigonometric ratios of complementary angles.
cOS 60º= ___ º ≈___
Answer:
-0.12
Step-by-step explanation:
60 divided -0.5= -0.12
A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2
I still haven't reached that exercise, sorry
Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^
derive
Sinxy = x² + 2xy
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari
Answer:
Continuous random variable - The practically infinite number of possible values that a random variable can take on in an experiment
Random experiment - The process of observing the outcome of a random chance event
Probability - The number that quantifies the likelihood that a certain random event will happen
Sample space - All possible outcomes that can result from a random experiment
Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.
Statistical inference - The use of information from a sample to draw conclusions about the population
Sample mean - The most commonly used measure of central tendency of a distribution of data
Event - A subset of the sample space
Standard deviation - A measure of the extent to which the values in the data set differ from the mean
Outlier - An observation point that is distant from other observation.
Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.
Answer:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
find the sum:
4/100 + 6/10
Hello there, and welcome to Brainly!
In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.
Multiply 10 to both the numerator and denominator of the second fraction:
(6/10) * (10/10) = 60/100
Add across:
4/100 + 60/100 = 64/100
64/100 is your answer.
~
Simplify -12+8+5+(-9)
Answer:
The answers is -8
Step-by-step explanation:
Remove parentheses.
-12 + 8 + 5 - 9
Add -12 and 8
-4 + 5 -9
Add -4 and 5
1 - 9
Subtract 9 from 1
-8
The answers is -8
Hope this helps
Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?
Answer:
5 nickels
10 dimes
5 quarters
Step-by-step explanation:
n = number of nickels
d = number of dimes
q = number of quarters
q = n
d = 2n
0.05n + 0.10d + 0.25q = 2.50
substitute
0.05n + 0.10(2n) + 0.25(n) = 2.50
0.05n + 0.20d + 0.25n = 2.50
0.50n = 2.50
n = 5
d = 10
q = 5
A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
[tex]p_{1}=\frac{30}{120}=0.25[/tex]
[tex]p_{2}=\frac{32}{160}=0.2[/tex]
Second, calculate standard deviation for each proportion:
[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]
[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]
Now, we calculate standard error for difference:
[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]
[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
[tex]p_{1}-p_{2}[/tex] ± z-score.SE
[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].
In which step did Viet make an error?
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
In a shop, there were 4 times as many guppies as swordtails. After 23 guppies and 27 swordtails were added, there were 83 more guppies than swordtails. What was the total number of fish in the shop at first?
Answer:
145
Step-by-step explanation:
Assume the number of sword tails is x. Then the number of guppies is 4x.
After 23 guppies and 27 swordtails were added. Then guppies = 4x+ 23
swordtails = x+27
According to the relation 83 more guppies than swordtails. We can obtain:
[tex]4x + 23 = x + 27 + 83[/tex]
4x-x= 27+83-23
3x=110-23
3x=87
x=29
There are 5x fish in total at first.
5x=5*29=145
so the number of fish in the shop at first is 145
Evaluate the function when x = 3.
f(x) = 5x + 2
A. -1/5
B. 1
C. 3
D. 7
F(x)=3^3 + 5(3)^2 +1
F(x)=27 + 5(9) +1
F(x)=27+45+1
F(x)=73
Solve the following triangle angles
Answer:
X=69 degree
?= 50 degree
Step-by-step explanation:
exterior angle prop so 77+X =146
X=146-77
X=69
in sencond triangle
90+40+?=180
?=180-130
?=50
Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.
Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
