Using the z-distribution, as we are working with a proportion, the minimum sample size required to ensure a 90% confidence interval for p to within 0.02 is of 1692.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
No prior estimate, hence the proportion is [tex]\pi = 0.5[/tex].Margin of error of M = 0.02.90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].Then, solving for n:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.645(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.645(0.5)}{0.02}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.02}\right)^2[/tex]
[tex]n = 1691.3[/tex]
Rounding up, a sample size of 1692 is needed.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Yellow is correct.
You can add the valued and divide by how many values there are to find the mean
The score of 20 is an outlier and brings the mean score down by almost 10%
Step-by-step explanation:
Answer:
3: The low score causes the mean to decrease.
Step-by-step explanation:
If you add a significantly lower number, it will bring down the overall average.
Hope this helps!
I need help ASAP please
Answer:
I dont know the answer but, go on google and look up: Cauculater Soup
I hope it helps :)
Marco paid $42.40 for 6.4 Gallons of gas. What is the price of 1 gallon of gas? Group of answer choices
Answer:
6.63
Step-by-step explanation:
5 2/5 divided by 3/2
Answer:
5 2/5 ÷ 3/2 = 3.6
I hope this is right
“t is greater than zero and less than or equal to 5”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval notation
Answer:
Numerical Form: 0 < t ≤ 5
not doing number line
interval notation: (0,5]
Step-by-step explanation:
Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5
Answer:
x=4
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!! PLZZZZZZ!!!
Answer:
1
Step-by-step explanation:
In that question, when it is asking for f(x), think of f(x) = y
When you look at x = -1, the y value is 1.
find the slope and y intercept for 15x= -2y-14
Sequence B: consider the sequence 1.5,3,6,12
Answer:
Use the formula
a n = a 1 r n − 1
to identify the geometric sequence.
a n = 1.5 ⋅ 2 n − 1
Answer:
n x 2 = x
Step-by-step explanation:
This is the answer because:
1) 1.5 x 2 = 3
2) 3 x 2 = 6
3) 6 x 2 = 12
Therefore, the pattern in this sequence is n x 2 = x
Hope this helps!
Write 9.36( repeating) as a mixed number in simplest form.
Answer:
Step-by-step explanation:
9.36 is 9 9/25
(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEE!!! :D)
Which expression results in a sum or difference of eight and eleven twenty fourths?
A) six and two twelves plus two and one half
B) four and one eighth plus four and one third
C) ten and five sixth minus two and three quarters
D) nine and two thirds minus one and there eighths
(Here is an image if needed) :
Answer:
a) 8 and two thirds
b) 4 and 11/24
c) 8 and 1/12
d)8 and 7/24
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
May u please help me ill give out the brainly
Answer:
The answer is B.
Step-by-step explanation:
In order to solve this problem, you need to combine like terms, which in this case, are the x's. So, if you add the numbers with the x's together, you get 3x + 12y. The 12y remains untouched because there are no other terms with the same variable.
Hope this helped,
Philip
Brainliest always appreciated! <3
Can someone pls tell me if I’m right I will mark brainliest
Answer:
all should be correct but the last one is -7
Step-by-step explanation:
Answer:
3,0,-7
Step-by-step explanation:
The opposite of -3 would be 3, simply switch the signs.
The opposite of 0 would be 0, because 0 simply has no opposites.
The opposite of 7 would be -7, just switch the signs again.
What is the slope of the line?answer
Answer: -2/3x
Step-by-step explanation:
Use the rise over run method and if it's going from left to right downards put a negative.
The polygons are similar. Find the value of X and Y
Answer:
X=8, Y=9
Step-by-step explanation:
9/6=1.5
12/1.5=8
6*1.5=9
PLS GIVE BRAINLIEST
hi I need help with this problem. can anyone you tell me what 5+(-3)
Answer:
2 is the answer.
Step-by-step explanation:
Essentially, you are subtracting 3 from 5.
5 - 3 = 2 is the same as 5 + (-3) = 2
What is 13/19 as a decimal rounded to the nearest hundredth
Answer:
0.68421052
then rounded its 0.68
Step-by-step explanation:
Find the number in the hundredth place
8
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
0.68
can iplease lz have brainliest :0
Answer:
.68
Step-by-step explanation:
13/19 = .68421... .68 is the hundredth rounding, .7 would be if rounding to tenth, and .684 if rounding to thousandth position. .68 is hundredth
find the rate of change (2,15.50) (4,31.00)
Answer:
The answer is 7.25
Step-by-step explanation:
I suggest you search for, "khan academy slope."
Hope this helps :)
What is the orders pair that is a solution to this equation, y=x+2
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.
Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.
Rewrite the range of each company’s wireless access devices in feet using scientific notation.
You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.
Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.
really need this
Answer: what is the question asking?
Step-by-step explanation:
Round 14,456 to nearest ten
Answer:
14,460.
Step-by-step explanation:
14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
Square root of 45 minus square root of 5
Answer:
4.472135955
Step-by-step explanation:
Answer:
i think it's 1.7082039325
Step-by-step explanation:
Look at the attachment.
Answer:
12 cups
Step-by-step explanation:
21:7=3 i mean that's kinda it
3x4=12
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
HELP ASAP PLEASE :)))
.
.
.
.
.
Answer:
The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.
Step-by-step explanation:
Answer: First one, no? I'm not sure its been a while
Step-by-step explanation:
Your friend says that 1/2 + 1/7 is equal to 2/14 . Is this correct ? not , what mistake did your friend make?
Graph the line with the equation y = 2x – 5.
Answer:
y- intercept is -5
(0, -5)
x=5/2 +1/2 y
Step-by-step explanation:
put your first point on y -5
helpppppppp pleasee
Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium
Answer:
cf
cf
centru. toc htc. toc cf. activ. cfc fgfvxv. chvv