A town has 5000 residents. A survey finds that 81 residents
out of a random sample of 625 residents have red hair. The margin of
error for the survey is 4%. Find the interval in which the total number
of residents with red hair is most likely to lie.

The range from 63 to 99 is where the overall population of people with red hair is most likely to fall in the interval.  

To solve:

The margin of error is equal to z (p (p - 1) / n).

4% is the error margin, We may therefore change the values to:

0.04 = z ×√ (1 - 81/625) / 625)

Then, using a standard normal table, we determine the z-value for 95%, which is around 1.96.

0.04 = 1.96 × √(81/625) × (1 - 81/625) / 625)

When we solve for (1 - 81/625)/625", we get a value of around 0.0098.

Calculations for the range are now being achieved: 

81 - (0.0098 5000) = 63 

81 + (0.0098 5000) = 99

Therefore, the range of residents with red hair that contains the greatest likelihood of lying is from 63 to 99.

For more Questions on interval

https://brainly.com/question/30460486

The interval in which the total number of residents with red hair is most likely to lie is approximately between 545 and 745.

To find the interval in which the total number of residents with red hair is most likely to lie, we can calculate the confidence interval based on the survey results and the margin of error.

The margin of error is given as 4%, which means we have a 96% confidence level (100% - 4%). This corresponds to a z-score of approximately 1.96 for a standard normal distribution.

First, we calculate the standard error using the formula:

Standard Error = sqrt((p * (1 - p)) / n),

where p is the proportion of red-haired residents in the sample (81/625) and n is the sample size (625).

Standard Error = sqrt((81/625) * (1 - 81/625) / 625) ≈ 0.0179.

Next, we can calculate the margin of error by multiplying the standard error by the z-score:

Margin of Error = 1.96 * 0.0179 ≈ 0.035.

Now, we can calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error, respectively:

Lower bound = (81/625) - 0.035 ≈ 0.109.

Upper bound = (81/625) + 0.035 ≈ 0.149.

To find the range or interval, we can multiply the lower and upper bounds by the total number of residents (5000):

Lower bound (rounded) = 0.109 * 5000 ≈ 545.

Upper bound (rounded) = 0.149 * 5000 ≈ 745.

Therefore, the interval in which the total number of residents with red hair is most likely to lie is approximately between 545 and 745.

To know more about survey here

https://brainly.com/question/2141789

#SPJ2

(New Rank Reward) The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6 each and some lilies that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?
(Hint: Use System of Equations)

Line segments AB and CD intersect at point E. Ray EF extends from point E.

Find the value of x. Then find the measures of angles CEF and BEF

Help me plz!!!!!!!!!

REWARDING brainly FOR correct ANSWER

A state government study surveyed a representative sample of child-care centers about childhood illnesses. Which statement BEST explains what makes the sample representative?

A
Every child-care center in the state participated in the study.

B
Every child-care center in the state had an equal chance of participating in the study.

C
Every child-care center was asked a series of randomly selected questions.

D
Every child-care center that participated must have reported childhood illnesses to the state.

Which angle is congruent to angle E?


A. ∡A
B. ∡B
C. ∡C
D. ∡D

Help me pls
Pls pls pla

It says “If 4 apples cost $1.00, what would be the cost of 10 apples?” -

Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house? *
9.3 miles
3.3 miles
2.7 miles

Money was placed in a savings account and earned 3/4 % interest paid annually. Samantha, Tony and Anuyia each wrote an equation to show the amount of money in the account after one year with a balance of M dollars. T represents the total amount of money in the account.

Samantha’s Equation: T = 1.075M

Tony’s Equation: T = M + 0.0075M

Anuyia’s Equation: T = M(1 + 0.0075M)

Since none of the equations were written the same, they decided to see if their equations would give the same answers by using a $75 balance. Solve this problem using each student’s equation. Show your work. You may use a calculator for this part of the assessment. Show your work to receive full credit.

Help Asap Pls Hurry I Will Give Brainliest!

(Middle school math) please help, thank you!

REWARDING BRAINLIEST IF YOU DONT GET IT LMK IF YOU WANT ME TO MAKE A POST (you have to be early) OR TRY AND LOOK FOR A QUESTION NO ONE ANSWERED

I need help plssssss I will give brainliest and anything u want

A music store bought a CD set at a cost of ​$20. When the store sold the CD​ set, the percent markup was ​%20. Find the selling price.

NEED HELP ASAP Kelly conducted an experiment. In each trial she flipped a coin and rolled a number cube that has sides labeled 1 to 6. The results are shown. What is the experimental probability that her next flip will be tails? Write your answer in probability notation.

***WILL MARK BRAINLIEST*** Write in Scientific Notation! #2

Which two parallelograms have the same area?

Help I Will Give You Brainliest!!!!

How do I take a sales discount off a sales total? -Ex
sales total: 2.00
discount: 20%

According to the line plot, how many runners ran 1/2 of a mile for their warm-up?


(WILL GIVE BRAINLYIEST TO BEST ANSWER)

Favorite Clothing Style? <3
Goth, Cottagecore, Emo, E-Boy/Girl, Alt, Etc?

Exit

Before each football game, a coin is flipped to decide who will be on offense and defense. If the last twelve coin tosses resulted in tails, which is most likely to happen on the next toss?
A. most likely heads
B. most likely tails
C. each result is equally likely to occur

On a math test, Olivia is told that the points (1, 3) and (3, 0) are two vertices of a rectangle. A. Find two additional coordinates that will form a rectangle
PLEASE ANSWER ASAP

charlie's net worth is -35,354. which of the following is true?

Write an equation for: y equals three times the sum of x and two.

***20 POINTS-WILL MARK BRAINLIEST***
#1

a=1/2pa, solve for p
NO LINKS PLEASEE!! IM BEGGING YOU NO LINKSS!!!

Maggie is buying a jacket. The expression shown represents the sales tax on the jacket price, j.

0.08j
Write an expression in terms of j to represent the total amount that Maggie spends on the jacket, including tax.

do not falsely report this please