Answer:
a)
The point estimate is 0.368.
The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).
b)
The point estimate is 0.262.
The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).
c)
Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.
Step-by-step explanation:
(a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 147 of these ads use humor.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 400:
This means that [tex]n = 400[/tex]
Point estimate:
[tex]\pi = \frac{147}{400} = 0.368[/tex]
The point estimate is 0.368.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 - 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.321[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 + 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.415[/tex]
The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).
(b) Suppose a random sample of 455 television ads in the United States reveals that 119 of these ads use humor.
Sample of 455:
This means that [tex]n = 455[/tex]
Point estimate:
[tex]\pi = \frac{119}{455} = 0.262[/tex]
The point estimate is 0.262.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.222[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.302[/tex]
The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).
(c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor?
Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.
Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Answer:
Step-by-step explanation:
Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.
Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches
1/3 of 4 feet=___inches
Plz help m confused ♀️
Answer: 16in
4 feet= x inches
4*12= 48
48/3= 16
1/3 of 4 feet is 16in
Answer:
16 inches
Step-by-step explanation:
(1 / 3) * (4 feet)
Esmeralda's familyfamily went out to dinner paying a 20% tip at the end of the mill their credit card was charged $51 what was the amount when the bill without the tip?
Answer:
i dont know lol
Step-by-step explanation:
why you asking me
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 7979 times and recording the number of times the ball lands on an even number.
Answer:
The procedure does results in a binomial distribution.
Step-by-step explanation:
For a binomial probability distribution to be applicable, certain conditions have to be met which are :
There must be a fixed number of observations ; here the number of observations are : 79
All observations must be independent ; the observations are independent ; odd or even
Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even
The probability of success must be equally likely for each observation.
Hence, the procedure results in a binomial probability distribution.
Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels.
How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?
Answer:
Pretzels: 30 ounces, Nuts: 15 ounces
Step-by-step explanation:
Trust me.
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jamal is making a snack mix with pretzels and nuts.
And, For every ounce of nuts, he will use 2 ounces of pretzels.
Total number of snake mix = 45 ounces
Now,
Let number of ounces of pretzels = y
Let number of ounces of nuts = x
So, We can formulate;
⇒ x = 2y ... (i)
And, x + y = 45 .... (ii)
Substitute the value of x in equation (ii) , we get;
x + y = 45
2y + y = 45
3y = 45
y = 15
And,
x + y = 45
x + 15 = 45
x = 30
Therefore,
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
Learn more about the mathematical expression visit:
https://brainly.com/question/16583268
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20% of 400 is what number
please help , thank youu
Answer:
9.) would be 89 and 10.) would be 1500 ft
Answer:
A. 89 B. 1200 ft
Step-by-step explanation:
A.
5(-4²)+9
5(16)+9
80+9
89
B.
-150+1350=
1200
find the value of two numbers if their sum is -5 and their difference is 11
Larger Number:______
Smaller Number:______
Answer:
-16 and 6
Step-by-step explanation:
If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human
I can't remember for the life of me what these are
Answer:
same
Step-by-step explanation:
I WILL GIVE BRAINIEST ASAP IF ANSWERED ASAP
Answer:
56 degrees :)
Answer:
56 degrees
Step-by-step explanation:
the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.
Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x
x=56
Please help ASAP I have no idea
Answer:
73.4
Step-by-step explanation:
I’m 96% sure this is the answer
If anyone can do these or atleast like 3 I swear to god I’ll be eternally in your debt it should be pretty easy too, like 7th grade level stuff!
Answer:
11) x = -5
12) x = -12
13) x = 6
14) y = -9
15) No solution
16) Infinite Solutions
Step-by-step explanation:
11)_______________
5x + 10 = 3x
-5x -5x
10 = -2x
divide by -2
x = -5
12)_______________
6p + 4 = 5p - 8
+8 +8
6p + 12 = 5p
-6p -6p
12 = -1x
x = -12
13________________
3x - 22 = -8x + 44
+22 +22
3x = -8x + 66
+8x +8x
11x = 66
x = 6
14________________
-11(k + 4) = 55
-11y - 44 = 55
+44 +44
-11y = 99
y = -9
15________________
6(c - 8) = 5(2c - 12) - 4c
6c - 48 = 10c - 60 - 4c
6c - 48 = 6c - 60
+48 +48
6c = 6c - 12
-6c -6c
No Solution
16________________
-12y + 21 = -3(5y - 7) + 3y
-12y + 21 = -15y + 21 + 3y
-12y + 21 = -12y + 21
both sides are the same, so
Infinite Solutions
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Charlie wants to buy a new bike. The bike costs $125 and he has a coupon for a 20% discount. How much money will he get to save with the discount?
Answer:
He will get to save 25 dollars.
Step-by-step explanation:
percentage formula:
($125×20) ÷ 100
(2500) ÷ 100
= 25
Answer:25
Step-by-step explanation: because you divide 11by20 hthen you add in th ermaneder
The area of a triangle is 30 square feet. If the height of the triangle is 5 feet, what is the base of the triangle?
Answer:
150
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
Area of a triangle is A = 1/2 b h
Plug in:
Area = 30
Height = 5
30 = 1/2 (5)b
Divide by 1/2:
30 / 1/2 = 60
60 = 5b
Divide by 5:
60 / 5 = 12
12 = b
Base = 12 feet
Casey paod $32 for a book that was on sale at 20% off. WHat was the original prize for that book
Answer:
$38.4
Step-by-step explanation:
20%=0.20
32*0.20=6.4
32+6.4=38.4
Use the elimination method by subtraction to solve for x and then y.
Equation 1 > 2x - 7y = -74
Equation 2 > 3x - 7y = -83
Solve for x and y.
Please and thank you!
Answer:
Step-by-step explanation:
Both equations have -7y. You can eliminate them by subtracting one equation from the other:
Multiply equation 1 by -1, then add it to equation 2:
-2x + 7y = 74
3x - 7y = -83
———————
x = -9
2x - 7y = -74
2(-9) - 7y = -74
-7y = -56
Y = 8
(x,y) = (-9, 8)
PLEASE HELP
(7th grade math) The decimals chart in this lesson shows that we line up
the decimal points when we add or subtract decimal
numbers. Why do we do that?
Answer:
so that when we subtract we are subtracting from the corresponding decimal places
Step-by-step explanation:
A triangle can have sides of length 7, 9, and 18.
true
false
Answer:
That is false.
The sum of any two sides in a triangle must be greater than the length of the third side.
We can see that: 7+9 = 16, and 16 is not greater than 18.
So, this is not a triangle.
Let me know if this helps!
1. 5, 10, 15, 20.....
a. Rule:
b. Next three:
2. 1.3, 1.5, 1.7, 1.9....
a. Rule
b. Next Three
Answer:
1. a) rule is that it adds 5 every time
1.b) 25, 30, 35
2.a) rule is that it adds 0.2 every time
2.b) 2.1, 2.3, 2.5
Find the value of x.
143
2x° 152
116°
to
1259
140°
139°
Answer:85 degrees
Step-by-step explanation:
Formula for sum of interior angles is (n-2)180. Since there are 7 sides, n-2 is 5.
5 x 180 = 900
Add all the angles given and subtract sum from 900 and you are left with 85 for the missing angle.
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
If we are missing the percent, then what
will go over 100 in the percent proportion?
Answer:
the percentage that you are trying to find
for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.
Step-by-step explanation:
the trip took 1 hour and 40 minutes 30% of the time the car traveled on rough roads how much time did the car travel on rough roads?
A. 70 min B. 45 min C. 40 min D. 30 min
40.39 is what percent of 65?
A.60% B. 0.6% C. 39% D. 65%
Please help I need it now this is due ate 6:00 am please
Answer:
D
NOTE: 1 HOUR IS 60 MINUTES
do 60+40 gives u the minute which is 100
then 100 x30% = 30
NOTE: for the second round up the digit and multiply it by 65
so 40.4 x 65 gives 62. something
the nearest number is 60 % so 60% is the answer
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
D
NOTE: 1 HOUR IS 60 MINUTES
do 60+40 gives u the minute which is 100
then 100 x30% = 30
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
find the surface of the rectangular prism
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
The new TCL LED TV at Best Buy is regularly $299.
a) You have a 25% coupon. What is the sale price after the discount? $
b) What is the total purchase price if sales tax is 8.5%? $
Answer:
1) 224.25
2) 243.31
Step-by-step explanation:
Dunkin Donuts sold 1,600 drinks in one day. Of those drinks, 87.5% of them were coffee . How many of the drinks were coffee?
Answer: 1400 is coffee.
Step-by-step explanation:
What is the area of this face?
10 in.
20 in.
5 in.
10 in.
10 in.
5 in.
10 in.
Answer:
its 200
Step-by-step explanation:
Solve each equation by taking square roots NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
#3. n = 1#5. x = 2Step-by-step explanation:
#3.
n x n - 5 = -4
n x n = 5 + -4
n x n = 1
n = 1
#5.
7x^2 + 1 = 29
7x^2 = 29 - 1
7x^2 = 28
x^2 = 28 / 7
x^2 = 4
x = 2
Hope that helps!
Which expression is equivalent to -6(-2/3 +2x)
Step-by-step explanation:
step 1. -6(-2/3 + 2x)
step 2. 12/3 + -12x. distributive property
step 3. 4 - 12x.