A 98% confidence interval for a proportion is found to be (0.72, 0.78). What is
the sample proportion?
Answers
Answer: 0.75 appex
Step-by-step explanation:
The sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
From the data the margin of error = (0.78 - 0.72)/2
MOE = 0.03
98% Confidence interval for a sample proportion:
n - 0.03 = 0.72
n + 0.03 = 0.78
The interval is (0.72, 0.78)
The sample proportion = 0.75
Thus, the sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
Learn more about the confidence interval here:
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Related Questions
What is the answer I give brainlest
Answers
Answer:
Its the one on the left I'm pretty sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.
Sanjay, Ajay and Anushka are employees of a company that has branches in Chennai, Bangalore and Mumbai. The company sends each of them to one of these cities at random. Let X X be a random variable that denotes the number of employees assigned to their favourite cities. If Chennai, Bangalore and Mumbai are the favourite cities of Sanjay, Ajay and Anushka, respectively, then find the possible values of X.
a. X= {0,1,2}
b. X= {0,1,2,3}
c. X= {0,1,3}
d. X= {0,[infinity]}
Answers
Answer:
c. X= {0,1,3}
Step-by-step explanation:
We have these possible outcomes:
None assigned to their favorite cities.
One assigned to their favorite city(The other two are assigned to the other's favorite city).
All are assigned to their favorite city.
Why is two not possible?
If two peooke are assigned to their favorite city, the third person necessary has to be assigned to their favorite city, as it will be the only option remaining.
So the correct answer is given by option c.
A= 1/2h(b1+b2)
the area is 27inches the two base are 6 and 3
what is H
Answers
6
Step-by-step explanation:
B1=6
B2=3
A=1/2
A=27
H=?
A=1/2h(6+3)
A=1/2h(9)
A=9/2
27=4.5
H=27/4.5
H=6
What is the average velocity of Runner C for the first 15 seconds?
Answers
Answer:the average velocity of the particle is, 1.4 meter/second.
Step-by-step explanation:
Shannon and her family are traveling in the car. Her mom brought 1/2 pound of raisins to share equally between the four
family members. How much will each person get?
Answers
Answer:
1/8 pound per person
Step-by-step explanation:
A store sells 8 small, 18 medium, and 20 large sweatshirts. Each sweatshirt costs $16. How much money, m, is the store paid for all the sweatshirts they sell?
Answers
Answer:
8+18+20x16 ,
Step-by-step explanation: yeah .
You and 3 friends go to a concert. In how many different ways can you sit in the assigned seats? 06 ways O 12 ways 024 ways O 10 ways
Answers
Answer:
12 ways
Step-by-step explanation:
There were 312 students in the school. If 24 of the
students were taking Math PACE 1056, how many students were taking Math PACE 1056?
Answers
Answer: 288
Step-by-step explanation: 312 - 24 = 288
Graph y = -3x + 7.
2
Answers
Answer:
I love math anyways
The ans is in the picture
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2 tens + 33 ones is equal to what
Answers
Answer:
53
Step-by-step explanation:
20+33= 53
Answer:
5 tens and 3 ones
Step-by-step explanation:
u have 2 tens and 33 ones just add 33 can go as 3 tens and u would have 5 tens and 3 ones that are left over
Which is the best estimate for the product of 103.132 × 1,031.2? BE QUICK!!
10,000
1,000,000
1,000
100,000
Answers
Answer:
option D: 100,000
Step-by-step explanation:
approximated to 10⁵ to 100,000
Work out
139% of 722.71kg
Give your answer rounded to 2 DP.
Answers
u simplify 722.71 and 100 and see the common multiples-
and if you do normal multiplication or division , u can use calculator btw but the answer is 1004.5669
On a cold winter day, the temperature in minimal was 12 degrees below zero. On the same day, the temperature in Anchorage was-21 Degrees below zero. In which city was it colder? Explain how you know...
Please help
Answers
Answer:Minneapolis was colder because −14<−23.
Step-by-step explanation:Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
5 -1 -6 -2 3 7 0
Arrange them in order from coldest to warmest temperature.
On a winter day, the low temperature in Anchorage was 23 degrees below zero (in ∘C ) and the low temperature in Minneapolis was 14 degrees below zero (in ∘C ). Sophia wrote,
During his first vet visit, Pedro's puppy weighed
6 pounds. On his second visit, he weighed
91 pounds. How much weight did he gain
between visits?
Answers
91-6=85
He gained 85 pounds between visits
Answer:
85 pounds
Step-by-step explanation:
did the dog not go to the vet in like 2 years??? anyways its 91-6
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
Answers
what is 30 x 45 x 34 x89
Answers
Answer:
Step-by-step explanation:
please help me please i really need help please
Answers
Answer:
-5a+3b
Step-by-step explanation:
3a+2b-8a+b=3a-8a+2b+b=-5a+3b
Answer:
-5a+3b
Step-by-step explanation:
1. Re-write the numbers next to their common variables 3a-8a+2b+b
Then add!
A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults on lines A, B, and C are independent and have identical probability of 0.01. Hint: parts (a) and (b), use Bernoulli Trials; part (c), use Bayes Rule. a) What is the probability that the system will collapse
Answers
Answer:
0.000298 = 0.0298% probability that the system will collapse
Step-by-step explanation:
Number of possible ways the system can fail:
2 lines from a set of 3 fail, or all three fail.
Two from a set of 3:
Can be A and B, A and C, or B and C. Three possible outcomes then.
The probability of each is:
0.01*0.01*0.99
Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.
All three:
Each with 0.01 probability.
a) What is the probability that the system will collapse
Both cases, so
[tex]p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298[/tex]
0.000298 = 0.0298% probability that the system will collapse
QUICK HELP!
Add.
204.2 + 68.37
Answers
Help plsssssssssssssssssssssss thanks so much
Answers
A chemist examines 17 sedimentary samples for lead concentration. The mean lead concentration for the sample data is 0.268 cc/cubic meter with a standard deviation of 0.069. Determine the 80% confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.337.
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter
The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter
Amanda increased the amount of protein she eats every day from 48 grams to 54 grams. By what percentage did Amanda increase the amount of protein she eats?
Answers
Please give me brainliest!❤️
60 61 62 63 64 65 66 67 68 69 70
Find the mean of the data shown in the dot plot above. Round your
answer to the nearest tenth.
Answers
Answer:
the mean is 65
Step-by-step explanation:
what is one sixth of the product of four and nine
Answers
Answer:
6
Step-by-step explanation:
The product of four and nine is 36.
If you make 1/6 into a decimal, then multiply it by 36 you get 6!
I hope this helps, and have a great day! :)
Answer:
6
Step-by-step explanation:
4*9=36
6/6=36
36*1/1*6
36/6
6
You treat your friend to lunch. The food bill was $30.24. A 7% sales tax will be added and you want to leave a 20% tip.
a. Find the sales tax.
b. Find the tip.
c. Find the total amount you pay for lunch.
Answers
Answer:
a. $2.12
b. $6.45
c. $38.81
Step-by-step explanation:
a.
I'll convert 30.24 and 7% into fractions.
756/25 * 7/100
Cross cancel 756 and 100 (GCF is 4)
189/25 * 7/25
Convert above into a single fraction
(189 * 7)/(25 * 25)
Multiply 189 by 7, then 25 by 25.
1323/625
Divide, then round to the nearest cent
$2.1168 ≈ $2.12 in sales tax
b.
Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.
1613/50 * 1/5
Multiply 50 by 5.
1613/250
Divide, then round to the nearest cent.
$6.452 ≈ $6.45 in tip money
c.
This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.
$30.24 + $2.12 + $6.45
$32.36 + $6.45
You pay a total of $38.81 for lunch.
(6x - 3y) -2(x + 4y)
Answers
Answer:
4x-11y
Step-by-step explanation:
How to solve your question
Simplify
(6−3)−2(+4)
(6x-3y)-2(x+4y)
(6x−3y)−2(x+4y)
Distribute
(6−3)−2(+4)
(6−3)−2−8
Eliminate redundant parentheses
(6−3)−2−8
6−3−2−8
Combine like terms
6−3−2−8
4−3−8
Combine like terms
4−3−8
4−11
The cost of a set of DVDs after a 25%
markup can be represented by the
expression c + 0.25c. Simplify the
expression.
Answers
Answer:0.75c
Step-by-step explanation
So for this problem, 100% - 25% = 75%.
The equivalent equation will be 0.75c.
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 4 in the hundredths place is Response area the value of the 4 in the tens place.
1/10 1/100 1/1000
Answers
Answer:
1/100
Step-by-step explanation:
Answer: its 1/1,000
Step-by-step explanation:
❗️Someone please help❗️I will mark brainliest :))
Answers
Answer: Believe you can and you're halfway there
Have a great day!
I don’t have the answer but I’m just spreading positivity.
(x - 1) (x – 12) = 0
What’s the value of X?
Answers
Answer:
either 1
or 12
(sorrryy if its not correct:( )
Step-by-step explanation: