What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 52 college students were surveyed and r = 12 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05. (a) What is the level of significance?

Answers

Answer 1

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.24

For the alternative hypothesis,

p ≠ 0.24

This is a two tailed test

Considering the population proportion, probability of success, p = 0.24

q = probability of failure = 1 - p

q = 1 - 0.24 = 0.76

Considering the sample,

Sample proportion, P = r/n

Where

r = 12

n = 52

P = 12/52 = 0.23

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17

Recall, population proportion, P = 0.24

The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23

the p for the right tail is 0.24 + 0.01 = 0.25

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.43

We would double this area to include the area in the right tail of z = 0.17 Thus

p = 0.43 × 2 = 0.86

The level of significance is 5%

Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.


Related Questions

Evaluate 105*95 using identities

Answers

Answer:

9975

Step-by-step explanation:

See attachment.

( 105 ) * ( 95 )

(100+5) * (100-5)

100*100 * (1 + 5/100) * ( 1 - 5/100)

10000 * ( 1 - 5/100 + 5/100 - {25/10000} )

- 5/100 + 5/100, they cancel each other out to 0

10000 * ( 1 + 0 - {25/10000} )

10000 * ( 1 - {25/10000} )

10000 - {25*10000/10000}

10000 - {25}

9975

(3 1/4 + 2 5/6) + 1 3/4

Answers

19/6

Step-by-step explanation:

3/4 + 5/3 +3/4

3/4 + 3/4 = 3/2

3/2 + 5/3 =19/6 or 3.16....

Can someone pls help me with this?

Answers

communicative Property: (5+7) +3

Associative prop: (3+5) +7 or (3+7) +5

And the last one, I don’t fully understand what it is asking, but I believe it is asking for the answer which would be 15

When constructing an equilateral triangle, what step comes after six arcs are created on the circle?

Answers

Answer:

Num certo bairro da cidade de Beira após o ciclone Idai, 120 voluntários trabalhavam de

manhã, 130 trabalhavam à tarde, 80 trabalhavam à noite, 60 trabalhavam de manhã e a

tarde, 50 trabalhavam de manhã e a noite, 40 trabalhavam à tarde e a noite e 20

trabalhavam nos três períodos.

(a) Quantos voluntários trabalhavam em 2 períodos?

(b) Quantos voluntários tem o bairro?

(c) Quantos voluntários não trabalhavam á tarde?

(d) Quantos voluntários trabalhavam só de manhã?

Step-by-step explanation:

I need help please it’sGeometry

Answers

Answer:

Congruent triangles have the same perimeter so the answer is 13.

There are 200 carpenters in a crew. On a certain day, 150 were present. What percent showed up for work?

Answers

the percentage would be 75% that carpenters that showed up for work
because when dividing 200 x 4 you will get 50 and 50 would equal to 25% of the total of carpenters and if you multiply 50 by 3 would get 150 and a percentage wise that would be 25% times three which is 75 and that’s how you get the answer

Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam’s Solution Bruno’s Solution If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?

Answers

Answer:

Bruno will do 45.7

Step-by-step explanation:

1- gather all info

2-subtract

3- YOURE answer

what does it mean by bisecting angles​

Answers

Answer: A line that splits an angle into two equal angles.

Step-by-step explanation:  ("Bisect" means to divide into two equal parts.)

Bisecting angles: A line that splits an angle into two equal angles.

URGENT
What is the value of y?
A.72°

B.36°

C.54°

D.108°​

Answers

Answer:

72 + 2y = 180

2y = 108

y = 108/2

y = 54

C. 54

Answer:

C

Step-by-step explanation:

Sum of three angles of triangle = 180

72 + y + y = 180  {add like terms}

72 +2y = 180    {Subtract 72 from both sides}

2y = 180 - 72

2y = 108    {divide both sides by 2}

y = 108 / 2

y = 54°

Please help! Correct answer only please! I need to finish this assignment by today.

You flip a coin.

What is P(not tails)?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2

Answer:

1/2

Step-by-step explanation:

There are 2 sides of a coin.

Heads or Tails.

That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.

Evaluate 10x^2y^–2 for x = –1 and y = –2.

Answers

Answer:

10

Step-by-step explanation:

10x^2y^-2

10(-1)^2(-2)^2=10

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer:

86

Step-by-step explanation:

1. a+b=14 ⇒ a= 14-b

2. 10a+b=18+10b+a ⇒ a= 2+b

comparing 1 and 2:

14-b= 2+b ⇒ 2b= 12 ⇒ b= 6

a= 14-b= 8

number = 86

reversed number = 68

Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.

Answers

Answer:

The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

Step-by-step explanation:

Hank and Lynn are both paying off car loans

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

Therefore, the total amount paid (C(h)) after x months by given by  

C(h) = 2000 + 200x ......... (1)

So, this relation is proportional but not directly proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

Therefore, the total amount paid (C(l)) after x months by given by  

C(l) = 275x ......... (2)

So, this is a directly proportional relation which is also proportional.  

hope it helps mark me as brainliest.

Charisse was riding north then she turned 90° to the left after turning in what direction was charisse riding Explain your answer

Answers

Answer:

west

Step-by-step explanation:

Answer:

West

Step-by-step explanation:

90 deg left of north is west.

Find the volume of the pyramid. HELP

Answers

Answer:

187.5 in^3

Brainliest plz

Step-by-step explanation:

V=(lwh )/3

7.5 x 5 x 5= 187.5

Answer:

62.5 inches squared

Step-by-step explanation:

To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.

Length = 5

Width = 5

Height = 7.5

1. 5 times 5 times 7.5 = 187.5

2. 187.5/3 = 62.5

3. The answer is 62.5 inches squared

helppppppppp! i give brainliest !!!!!!

Answers

Answer:

7.5g salt, 10g yeast, 50ml oil, 450ml water.

What is the area of Dawn’s porch

Answers

multiply all of it together

The junior class sells tickets to a talent show to raise money. Each ticket sells for $8. How much money do they raise?

Answers

Answer:

unsolvable

Step-by-step explanation:

you need to know how many people bought a ticket

A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?

Answers

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

Answer:

every 30 seconds.

Step-by-step explanation:

I'm a banana

I'm a banana

I'm a banana

Look at me move, yeah yeah

I'm a banana

I'm a banana

I'm a banana

Look at me move, ah

Banana power

Banana power

Banana power

Power

Banana power

Banana power

Banana power

Look at me move

Uh oh banana time

Uh oh banana time

Uh oh banana time

Stop

Stop

Stop

Carts, farts, marts, darts

Hearts, starts, carts, marts

Carts, marts, darts, farts

Darts, starts, hearts, ah

Chicken, chicken, chicken

I am

Chicken, chicken

Chicken

Stop

Look at me

Look at me move

I'm a banana

I'm a banana

I'm a banana

yes

Suma cyfr szukanej liczby dwucyfrowej jest równa 12. Jeżeli cyfry tej liczby przestawimy, to
otrzymamy liczbę większą o 18 od szukanej liczby. Wyznacz szukaną liczbę

Answers

Answer:

yes

Step-by-step explanation:

please help me asap​

Answers

Answer:

that's the lowest term actually

Share £45 in the ratio 4:5

Answers

Answer:

20 : 25

Step-by-step explanation:

A : B : total

4 : 5 : 4+5 = 9

We want to share 45

45/9 = 5

Multiply each share by 5

A :     B    : total

4*5 : 5*5 : 9*5

20 : 25   : 45

The figure is reflected across line m and then across line n. What is the resulting transformation?

a. glide reflection
b. rotation
c. translation
d. reflection

Answers

i’m guessing the answer is A or D, but I would go with A since it’s going across both lines?

help please thank you

Answers

[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

how many speak spanish only?
how many does not speak any if the languages?

Answers

Answer:

52 people

Step-by-step explanation:

Another inequality question :( Can someone help pls??
Thanks :D

Answers

Answer:

[tex]y\geq x[/tex]

Step-by-step explanation:

Again, let us begin by finding the equation of the line

The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]

We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.

This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.

This means that our answer would be [tex]y\geq x[/tex]

Find the limit of the function by using direct substitution. limit as x approaches 0 of quantity x squared plus 4

Answers

Answer:

=4

Step-by-step explanation:

[tex]\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4[/tex]

Lt  (X^2+4)

x-0

= 0^2+4

= 4

What are the limits of mathematics?

math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.

Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.

Learn more about limits here: https://brainly.com/question/5313449

#SPJ2

What is the output of the function f(x) = x^2 + 1, when the input is 6? Can someone really help me out on this please i will really thank youuu..

Answers

Answer:

37

Step-by-step explanation:

Since the input is 6, you plug it in as the x value to get y.

The input=x value

the output=y value

This is because when you input an x-value into an equation, you would get its y value.

So... 6^2 is 36 and 36+1 is 37

So the final answer is 37

any help would be amazing, please?!!

Answers

Answer:

I think it's C

Step-by-step explanation:

Sorry if I'm wrong

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

(x-5)

Step-by-step explanation:

x^2 -25

We know this is the difference of square

(x-5)(x+5)

Since the length is (x+5)  the width must be (x-5)

Given:

Area = x² - 25

Length = x + 5

To be calculated:

Calculate the width of rectangle?

Formula used:

Area of Rectangle = L × b

Solution:

We know,

Area of Rectangle = L × b

⇒ x² - 25 = x + 5 × b

⇒ b = x² - 25 / x + 5

⇒ b = x² - 5² / x + 5

⇒ b = ( x + 5 ) ( x - 5 ) / x + 5

⇒ b = x - 5

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