Complete Question
How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
Exercise 9.53
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Answer:
The First question
[tex] n = 1879 [/tex]
A
The 96% confidence interval is
[tex]0.51 < p < 0.63 [/tex]
B
The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is
[tex]E = 0.06 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.02[/tex]
The sample size is n = 200
The number that supported the annexation suit is k = 114
Considering the first question
Generally our sample in Exercise 9.53 is [tex]\^ p = 0.57[/tex]
From the question we are told the confidence level is 96% , hence the level of significance is
[tex]\alpha = (100 - 96 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.751 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * 0.57 (1 -0.57 ) [/tex]
=> [tex] n = 1879 [/tex]
Considering question B
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.751 * \sqrt{\frac{ 0.57 (1- 0.57 )}{200} } [/tex]
=> [tex]E = 0.06 [/tex]
Considering question A
Generally the sample proportion of the number that supported the annexation suit is mathematically represented as
[tex]\^ p = \frac{114}{200}[/tex]
=> [tex]\^ p = 0.57[/tex]
Generally 96% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.57 - 0.06 < p < 0.57 + 0.06 [/tex]
=> [tex]0.51 < p < 0.63 [/tex]
can any one help me with this please ?this is worth 82 points
Answer:
1. YZX
2. XYZ
3. ZXY
4. EDF
5. MLN
6. FED
7. DFE
8. MNL
9. LMN
1 was flipped (reflected).
2 was slid (translated).
3 was slid (translated).
4 was rotated 180 degrees clockwise.
5 was flipped and rotated.
6 was flipped and rotated.
7, 8, 9 were translated.
3n+14=-4 =?
Please do this this right (my grade depends on it)
Answer:
Step-by-step explanation:
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y = 2x2 − 4x − 2
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graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
math question!
please answer for 10+ points
Answer:
5 to the fourth power is 625
625 / 25 is 25
so now you have 25 = 5 to the second power
and five to the second power is 25
Step-by-step explanation:
So the answer should be the third one.
Please explain how to do it so I can learn it
Help me fast pleaseeeee
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
It says to classify what does this mean I be dumb
A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container filed?
The container is filled to % of the maximum capacity.
Answer:
The container is filled to 87.5% of the maximum capacity.
Step-by-step explanation:
Given
Maximum capacity of container = m = 64 ounces
Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces
The container is 56 ounces full.
To find the percentage:
[tex]percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%[/tex]
Hence,
The container is filled to 87.5% of the maximum capacity.
Please help if you can
Tia dilated the rectangle below by a scale factor of 7/2. What is ther perimeter of the new rectangle?
A
64 inches
B
220 inches
C
2695 inches
D
224 inches
Answer:
Option D
Step-by-step explanation:
Formula to be used,
Scale factor = [tex]\frac{\text{Dimension of the image rectangle}}{\text{Dimension of the original}}[/tex]
By this formula,
[tex]\frac{7}{2}=\frac{\text{Length of the dilated rectangle}}{\text{Length of the original rectangle}}[/tex]
[tex]\frac{7}{2}=\frac{L}{22}[/tex]
L = [tex]\frac{7\times 22}{2}[/tex]
= 77 inches
Similarly, width of the the dilated rectangle = [tex]\frac{7}{2}\times 10[/tex]
= 35 inches
Perimeter of the new rectangle = 2(Length + width)
= 2(77 + 35)
= 224 inches
Option (D) will be the correct option.
how to give points
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Answer: answer questions
Step-by-step explanation:
Answer:
tyyyy hope you have a good holiday !!!!!!!
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3 inches
1.5 inches
1.5 inches
Answer:
6 inches
Step-by-step explanation:
What does a cluster tell you about the data on a scatter plot?
Answer:
it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing
Step-by-step explanation:
(a) 12 is 15% of what?
I need help with math homework #2 algebra
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4} [/tex]
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
HELP^^^ ITS 7TH GRADE MATH
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
Answer:
81.6
Step-by-step explanation:
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
88 + 4 - (10.4)
81.6
LIM w→(-4) ((sin (pie*w)) /w^2-16)
No answer needed!
Answer: yes
Step-by-step explanation:
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
27.1018494699 round to nearest hundred-thousandth
Answer:
27.101
Step-by-step explanation:
eye blue like the Atlantic and im going down like the Titanic
Answer:
how is this a question
Step-by-step explanation:
Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.
Answer:
The answer is pie
Step-by-step explanation:
I know best
Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex] we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]someone help me with this
Answer:
-30 is the right one if u need help tell me ;)-
Step-by-step explanation:
:)
Kensington was selling Girl Scout cookies and a customer offered her a deal. The customer would place three $1 bills, one $5 bill and one $10 bill in a bag. Kensington would reach into the bag and take one bill from the bag and get paid that instead of the $5 it would cost for one box of Girl Scout cookies. Should she take the deal? Or should she insist on getting the regular cost of $5?
Answer:
no she should take the deal
Step-by-step explanation:
there are 5 bills in that bag and only 1 of them has a chance of being over the regular price where as 3 have a chance of being under the regurla price the odds a not in the girl scouts favor as she has a 60%chance of not getting a $1 and only a 20% chance of getting the $10.
The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?
State 2 possible solution points for the inequality. Use the form (x,y) for both points. *
4 points
Captionless Image
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.
Answer:
its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)
Two way frequency table: Pairs categorical values to list frequencies
Step-by-step explanation:
For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.
Lunch Bevarage
genders Juice. Milk. Water. Total
Girl : 10 13 17 40
Boy: 15 24 21 60
Total: 25 37 38 = 100
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)