In a recent Super Bowl, a TV network predicted that 25 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 150 people who saw the commercials and found that 30 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running:
H0:p=0.53H0:p=0.53
Ha:p≠0.53Ha:p≠0.53Calculate the test statistic.

Answers

Answer 1

Answer:

The right solution is "-8.25".

Step-by-step explanation:

The given values are:

Sampled people,

n = 150

Null and alternative hypotheses will be:

[tex]H_0:p=0.53[/tex]

[tex]Ha:p\neq 0.53[/tex]

The z-statistics will be:

⇒ [tex]z=\frac{\bar{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }[/tex]

On substituting the values, we get

⇒    [tex]=\frac{0.2-0.53}{\sqrt{\frac{0.53(1-0.53)}{150} } }[/tex]

⇒    [tex]=\frac{-0.33}{\sqrt{\frac{0.24}{150}} }[/tex]

⇒    [tex]=\frac{-0.33}{0.04}[/tex]

⇒    [tex]=-8.25[/tex]


Related Questions

Question 17 of 48
int
Section: Math
Question:
If a plane can climb at 2.400 feet per minute, how many minutes are needed to climb to 60,000 feet?

Answers

Answer:

25

Step-by-step explanation:

I divided it and got the answer :)

Answer:

25 min.

Step-by-step explanation:

To find the answer, we just divide 60,000 by 2,400 and we get 25.

Write 24:14:6 in its simplest form.​

Answers

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

Gina buys a car for $13,500. The value is expected to depreciate by 15% per year.
Write an exponential function to model the value of the car. When will the value
fall below $3000?

Answers

Answer:

the value will fall below $3000 in the 7 th year because :

Step-by-step explanation:

15% of 13500 is 2025

On subtracting 2025 from 13500 every time we can see that the value keeps dropping.

So, we will get $3375 in year 6 and in year 7 we will get $1350 by subtracting 2025 from 3375.

Hence we will get 1350 at the 7th year.

After 6.79 years, the car's value will drop below $3,000.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, The following is a representation of the exponential function to model the car's value:

V(t) = 13500 (1 - 0.15)ⁿ

V(t) = 13500(0.85)ⁿ

Here, V(t) denotes the car's worth at time n in years, and 0.85 denotes the annual depreciation rate of 15%.

Hence, The following equation can be put up to determine when the car's value will drop below $3,000:

13500(0.85)ⁿ = 3000

As we solve for n, we obtain:

n = (log(3000/13500)/log(0.85))

n = 6.79

So, after roughly 6.79 years, the car's value will drop below $3,000.

Learn more about the percent visit:

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8. Draw two circles with centre O and radii 3.6 cm and 4.5 cm, respectively. What are these
circles called? ​

Answers

Answer:

Concentric circles

Step-by-step explanation:

Given

Circle 1

[tex]r = 3.6cm[/tex]

Circle 2

[tex]r = 4.5cm[/tex]

Required

The name of the circles

See attachment for the circles.

From the attachment, the circle with radius 3.6cm is the circle with radius 4.5cm and they both have the same centre.

Such circles are referred to as concentric circles

PlZ HELP ASAP WILL MARK YOU BRAINLYEST!! PLz dont answer if you don't know... THX

Answers

Answer:

5.   8.49

6.   8.6

7.   B. Joe is taller than the tepee

Step-by-step explanation:

5 - formula for diagonal [tex]d= \sqrt{2} *s[/tex]   s= side length

So 1.4 times 6 = 8.49

6 - Pythagorean Theorem [tex]c= \sqrt{ a2+b2}[/tex]

So [tex]c= \sqrt{ 5 *2+7*2 }[/tex]   c = 8.6

7 -  Formula for height  [tex]h= \sqrt{ l^{2} - r^{2}[/tex]  l=slant height

So [tex]\sqrt{ 7^{2} - 4^{2}} =h\\\sqrt{ 49-16} = h\\h = 5.74\\5.74 < 6[/tex]That means Joe is taller

Answer:

The answers to your questions are :

5. Area of square = 36 , so (4 × X =36) . X=9

The formula used to find diagonal length = side × Rad2

9 × rad2 = 12.72

6 . Rad ( 25+49) = Rad(74) = 8.6

7. B is correct . He is taller than it .

Rad ( Slant height^2 - radius^2 ) = hight

hight = 5.7 .

whats the inverse of y=0.07x​

Answers

Answer: y=0

Step-by-step explanation: i think this is right

giving brainliest *easy*

Answers

Answer:

324 °

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)?
13
Submit

Answers

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable :)

The value of x in the equation is 2.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

2.5(6x - 4) = 10 + 4(1.5 +0.5x)

Now,

To solve for x, we need to simplify the equation and isolate x on one side. Here are the steps:

Distribute 2.5 and 4 on the left and right sides respectively:

15x−10=10+6+2x

Combine like terms on both sides:

15x−10=16+2x

Subtract 2x from both sides:

13x−10=16

Add 10 to both sides:

13x=26

Divide both sides by 13:

x=1326​

Simplify the fraction:

x=2

Therefore, by the equation the answer will be 2.

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I'm stuck on b, I've tried many methods but nothing seems to work (please help this is due in 3 hours)​

Answers

The scale factor is 1.2x

Answer:

6/5

Step-by-step explanation:

An easy way to do this is see how the scale factor from a to b is 5/6? all you have to do is reverse those numbers! Hope this helps

A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.

Answers

Use the Pythagorean theorem:

7^2 + 24^2 = length^2

Simplify:

49 + 576 = length ^2

Add:

625 = length^2

Take the square root of both sides

Length = 25

The ladder is 25 feet long

Question 5
Marci sells tickets at the swimming pool. The first day, she sold 50 tickets. She keeps records of tickets sold each day. The table below shows her records for the first day.
Marci's Ticket Results
Ticket Type
Number of
Tickets Sold
Child, Male
18
Child, Female 15
Adult, Male
Adult, Female
12
5
Based on the information in the table, which is the most reasonable prediction of the number of adult, female tickets Marci will sell out of the next 100 ticket sales?
A 12
B
6
с
24
D
50

Answers

Answer:

c

Step-by-step explanation:

Fran’s snowmobile weighs 0.8 ton. The weight of the snowmobile is
pounds

Answers

Answer: 0.8 ------    1,600

Step-by-step explanation:


x in 5xy = 10 to solve the system
below.
x = 25 - y
5x + y =10

Answers

Answer:

Step-by-step explanation:

there are two ways to solve systems of equations,  elimination or substitution, this looks like elimination would work quickly

x= 25 -y

x + y = 25   (eq 1)

5x + y = 10  (eq 2)

subtract 2 from 1

x + y = 25  

-(5x + y = 10)

-4x + 0y = 15

-4x = 15

x = - 15/4

now plug in x into either starting equations and solve for y

-15/4 + y = 25

y = 25 + 15/4

y = 100/4 + 15 /4

y = 115 /4

y = 28 3/4

we have solved it :)

Answer:

5x+ y = 10   ---(eq1)

x = 25 - y    ---(eq2)

substituting (eq2) in (eq1)

5(25 - y) + y = 10

125 - 5y + y = 10

125 - 4y = 10

-4y = 10 - 125

-4y = -115

4y = 115

y = 115/4 = 28.75

substituting value of y in (eq2)

x = 25 - 28.75

x = -3.75

Emma invested $750 in an account paying an interest rate of 1.9% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $910?

Answers

Answer:

10.2

Step-by-step explanation:

The B of years it took to the given principal to amount $910 is 3.4 years.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal =$750, rate of interest =1.9% and amount=$910.

Let the number of years be x and compounded quarterly.

Here, 910=750(1+ 1.9/100)³ˣ

910/750 =(1+0.019)³ˣ

1.213=(1.019)³ˣ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x=ln(1.213)/3ln(1.019)

Decimal Form: 3.419

≈ 3.4 years

Therefore, the number of years it took to principal to reach $910 is 3.4 years.

To learn more about the compound interest visit:

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solve for x,given the circle
below

with m

Answers

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

What is the decimal equivalent for 3/10?

Answers

Answer:

3/10 = 0.3

~hope this has helped you out, have a gr8 day my friend!  :-) ~

Step-by-step explanation:

A 29 foot rope is cut into two parts. the longer part is 2 feet longer than twice the shorter part. How long is each part

Answers

Answer:

longer:20 shorter:9

Step-by-step explanation:

One-step word problems:
1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? ​

Answers

Answer:

she needs to put in 5 more cups of sugar.

Step-by-step explanation:

in the word problem it states that shee needs 7 cups of sugar and since she already put in 2 cups, you have to subtract 2 from 7 since she already put 2 cups in, and then you get your answer which is 5 more cups.

give the simplest ratio for 56 :7​

Answers

Answer and Step-by-step explanation:

The simplest ration would be 8 : 1, because both numbers are divisible by 7.

56 divided by 7 is 8, and 7 divided by 7 equals 1.

#teamtrees #PAW (Plant And Water)

Please help and how would I draw it ?
What is the area of a circular region with a 20-ft
diameter?
A)22571 in 2
B)1007 ft2
C) 4007 ft2
D) 2251 ft2

Please help and how would I draw it ?

Answers

Answer:

B) 100[tex]\pi[/tex] ft²

Step-by-step explanation:

The area of a circle is pi r-squared.  The radius is half the diameter, so it would be:

[tex]\pi[/tex](10)² = 100[tex]\pi[/tex]

1.) The sum of x and 10.​

Answers

Answer:

10 + x

Step-by-step explanation:

Answer. x+10

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

71.4

Step-by-step explanation:

cos 6 = 71 / x = 71.4

A produce box can hold no more than 25 pounds of potatoes.
a. Write and graph an inequality to represent this situation.
b. Is 9.8 a solution of the inequality?


Best answer get brainless

Answers

Yes 9.8 as a solution

Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.

Answers

Using sampling concepts, it is found that the due to bias, the correct option is given by:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Why is Rodell's sample biased?

The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.

He surveys only athletes, hence, the correct option is:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

The correct answer is (A):

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Step-by-step explanation:

I did the quiz and got it right. Hope this helps you!!!!!

A manufacturer of flashlight batteries took a sample of 15 batteries from a day's production and used them
continuously until they failed to work. The life lengths of the batteries, in hours, until they failed.
426
317
545
264
1049
631
512
366
592
562
298
421
678
345
987

At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 500 hours?

Answers

The right answer is 1049 plus the 987

someone help, please this is due today, and its delta math if someone can help me

Answers

Answer:

52.48x ≤ 288.64

x≤5.5, x=5

Step-by-step explanation:

First off, we must find out how much money he has available after buying the bike, reflectors and gloves:

Total spent = (price of bike)+3(price of reflectors)+(price of gloves)

=233.09+3(16.38)+29.13

=311.36

600-311.36=288.64, so he has $288.64 left to spend on outfits.

The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:

52.48x ≤ 288.64

To solve, divide both sides by 52.48:

x≤5.5

(Since he cant buy half of a product, x's maximum value is 5)

CAN SOMBODY HELP ME IF YOU DO IT WRONG I WILL REPORT YOU BUT IF IT IS RIGHT I WILL GIVE YOU ALL MY POINTS AND BRINLY AND 5 STARS AND A THANKS BUT ALL I ASK IS THAT WHEN YOU ANSWER IT PLZZZZZZZZZ TELL ME HOW YOU DID IT I NEED TO NOW BECAUSE I NEED YOUR HELP

Answers

Answer:

D: 2:3

Step-by-step explanation:

She saw 2/5 mockingbirds

The remainder of birds she could see is 3

This means she saw 3 blue jays

The ratio is mockingbirds to blue jays, which is 2:3

Representing a Diver's Position
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to
the surface before swimming to the top?
-5.9 feet
0 -5 feet
-58 feet
7
feet

Answers

Answer:

-5.875

Step-by-step explanation:

Which of the following rational functions is graphed below?

Answers

D. F(x)=(x-1)/x(x-3) Just took the test

In Mr. Walker's 7th grade class, the 30 students created a pie chart showing their choices for favorite pet. Based on the class findings, how many students chose cat as their favorite pet? Explain.

A) 6

B) 10

C) 3

D) 9

Answers

Answer:

D - 9 students

Step-by-step explanation:

For this problem, you need to find the percentage of students left. Subtracting all the percentages you already know, you get 100 -  30 - 20 - 10 - 10, or 30. Since there are 30 students in the class, 30 percent of 30 is 9 students.

Hopefully this helps- let me know if you have any questions!

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