The Royal Haciendas Resort in Playa del Carmen, Mexico, is thinking of starting a new promotion. When a customer checks out of the resort after spending 5 or more days, the customer would be given a voucher that is good for 2 free nights on the next stay of 5 or more nights at the resort. The marketing manager is interested in estimating the proportion of customers who return after getting a voucher. From a simple random sample of 100 customers, 62 returned within 1 year after receiving the voucher. Please determine the 95% confidence interval estimate of the true population proportion.

Answers

Answer 1

Answer:

The 95% confidence interval estimate of the true population proportion is (0.5249, 0.7151).

Step-by-step explanation:

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].

From a simple random sample of 100 customers, 62 returned within 1 year after receiving the voucher.

This means that [tex]n = 100, \pi = \frac{62}{100} = 0.62[/tex]

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}} = 0.62 - 1.96\sqrt{\frac{0.62*0.38}{100}} = 0.5249[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.62 + 1.96\sqrt{\frac{0.62*0.38}{100}} = 0.7151[/tex]

The 95% confidence interval estimate of the true population proportion is (0.5249, 0.7151).


Related Questions

What is the simplest form of 3/5 + 1/3

Answers

Answer:

8/15 +5/15 = 12/15 = 4/5

Step-by-step explanation:

Y =
2 + 1 and 4x - ly = 14 are
4
parallel lines.
O True
O False

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The answer to your question is false

factorise 10x squared +19x+6

Answers

Answer:

The answer is (2x+3)(5x+2)

10x² + 19x + 6

= (2x+3)(5x+2)

What is the absolute value of the integer –12​

Answers

Answer:

12

General Formulas and Concepts:

Math

Number Line

Algebra I

|Absolute Value| - makes any integer positive

Step-by-step explanation:

Step 1: Define

|-12|

Step 2: Evaluate

Evaluate Absolute Value:                                                                                  12


The following P-Q data points (shown in Table 1) are obtained from the manufacturer's
static pressure curve for a single fan unit at 750 rpm and a density of 1.2 kg/m3. The speed is
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Table 1
Quantity(
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155
190
212
Pressure (Pa)
235
250
2000
1500
1050
500
0
Calculate the corrected single fan curve at 850 rpm and a density of 1.16 kg/m^3?​

Answers

don't know

Mark as brainlist mate

because making my answer as brainlist you would not lose anything।।।।।।।।।।

What is a sales return

Answers

Answer:

Let's say you sold some goods to a customer. If the customer is not satisfied with the goods and returns it back to you, then it is called sales return.

inverse operation of x+7= 33

Answers

The answer is 26
I hope this helps

60 centimeters + 4 meters
What is the answer in centimeters

Answers

Answer:

its 460centimeters hope i helped

the answer is 460 centimeters because 1 meter is = to 100 centimeters

Please guys I really need you're help

Answers

Dudeeee it’s H if not I’m very sorry

2y^2 + 4y^2 + 8 + 3 helpp

Answers

Answer:

11

Step-by-step explanation:

2y + 4y = 6y = 6y + 8 + 3 Add the numbers: 8 + 3 = 11     hope this helps ;)                      ITS A ME LUIGI ON THE XBOX ONE WAAAAAAAAAAAAAAAAAAAAAAAAHHOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                                                                              

triangle. l m is the image of triangle lmn after a translation. How are the side lengths and angle measures of the triangles related? Explain​

Answers

Answer:

Angle L would still be 45 degrees because the size of the triangle did not change when it was moved

Step-by-step explanation:

567 divided by 3 and how u got the answer

Answers

Answer:

189

Step-by-step explanation:

(x²-x+
X+5 if x 2
Suppose that h(x)= 5
if x=2
*3-1 if x>2
Which of the following is equal to 7?
I. lim hx)
X-2-
II.
lim h(x)
x->2+
III.
lim h(x)
x->2

Answers

Sorry to disappoint, but none of these answers are correct. All three limits are equal to 7.

Compute the one-sided limits:

[tex]\displaystyle\lim_{x\to2^-}h(x)=\lim_{x\to2}(x^2-x+5)=2^2-2+5=7[/tex]

[tex]\displaystyle\lim_{x\to2^+}h(x)=\lim_{x\to2}(x^3-1)=2^3-1=7[/tex]

Both the one-sided limits agree, so the two-sided limit has the same value,

[tex]\displaystyle\lim_{x\to2}h(x)=7[/tex]

A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket

Answers

Answer:

$36

Step-by-step explanation:

in the beginning $20 is %100 so divide 20 by 100                                              .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2                                                                                                         .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16                                             .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180)                                                     . then you add the $20 to the $16 because that is what each percent equals (you get $36)

Answer:

$36

Step-by-step explanation:

What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.

Set up problem:    x        180%

                            ___ = ____

                           $20     100%

What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.

Solving the Problem#1:  180 x 20 = 3600

Solving the Problem#2: 3600/1000= $36

Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.  

$4 + $4 + $4 + $4 + $4 =20

$4 is 20% of 20

$8 is 40% of 20

$12 is 60% of 20

$16 is 80% of 20

$20 is 100% of 20

Final Answer: $36 is the selling price of the jacket

Note: I used a scientific calculator for some calculations.

In what ways do peer-to-peer lending and traditional lending differ?

Answers

here’s the answer get the app socratic

Solve the inequality:

10x+5≥25

Select one:

x≥30

x≥20

x≥3

x≥2

Answers

i hope this helps! let me know if i got something wrong.

Helpppp please due in 29 minutes!!!!!

Answers

Answer:

d is the answer ask me more question

It’s d !!!!!!!!!!!!!!!!!

I need help its a word problemif you awnser both correctly ill give you a brainliest​

Answers

Answer:

16 and 18

Step-by-step explanation:

1=5 80/5=16

1=9 2x9=18

Answer:

16 centimeters and 18 feet

Step-by-step explanation:

The scale for the fist one is 1 centimeter and that gives you 5 meters. So set up a proportion to see what 80 meters would get you. 1cm/5m=Xcm/80m. You  would divide 80 by 5 to find the amount of centimeters which would be 16.

For the next one it is similar. Set up the proportion 1in/9ft=2in/Xft. You would end up with x=9times2 which would give you 18 ft.

Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch ​

Answers

Answer:

The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.

Step-by-step explanation:

The equation of a ellipse centered in the origin in standard form is defined by following formula:

[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)

Where [tex]a, b[/tex] are the coefficients of the ellipse.

Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:

[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]

[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]

[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]

Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:

[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)

[tex]c = 12[/tex]

The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:

[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]

Find the unit rate!!!

WILL GIVW BRAINLIEST!!!!

Answers

Answer:

10 to 2

Step-by-step explanation:

Please give the B

I would appreciate it :)

If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?

Answers

Answer:

$12

$8

Step-by-step explanation:

Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared

sum of ratios = 3 + 2 = 5

(3/5) x 20 = $12

Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared

(2/5) x 20 = $8

or

$20 - $12 = $8

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If you get right I will mark brainly

Answers

Answer:

i would go with D 8

Step-by-step explanation: i think that since it rised by 3 millimeters and the rock is 24 grams i think you would divide 24 by 3

The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.

Answers

Answer:

What is acceleration?

Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”

Step-by-step explanation:

Which expression is equivalently to x^2 + 2x + 2?

Answers

Answer:

(X-1+I)(x-1-I)

Step-by-step explanation:

Expression (x + 1 - i)(x + 1 + i) is equivalent to  x² + 2x +2.

Option (B) is correct option.

What is an algebraic expression?

Variables, integers, and a variety of mathematical procedures make up an algebraic expression.

To find the expression equivalent to x² + 2x +2,

Solve with the help of options.

(A)

(x - 1 + i)(x - 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2

(B)

(x + 1 - i)(x + 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2

Expression in option (B) is equivalent to x² + 2x + 2.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

Please no links just the letter answer and explanation please

Answers

Answer:

-6.5 degrees/km  

Step-by-step explanation:

I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2

Joshua created the following sequence. This sequence grows at a constant rate. Fill in the blanks with the missing terms of the sequence 13, 65

Answers

Answer:

13,65,117

Step-by-step explanation:

65-13=52

52+65=117

M- Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify at least one requirement that is not satisfied.Six hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party
A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. ​No, there are more than two possible outcomes.D. ​No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials

Answers

Answer:

A. Yes, the result is a binomial probability distribution.

Step-by-step explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.

Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!

Answers

The first one has no solution so it’s (x,y)

find the length of line segment connecting (2,1) and (3,3)

Answers

Answer:

square root of 5

Step-by-step explanation:

Use distance formula:

[tex]\sqrt{(3-1)^2 + (3-2)^2} \\\sqrt{2^2 + 1^2}\\\sqrt{4 + 1} \\\sqrt{5}[/tex]

Are there any verticals angles? If so name them.

Answers

Answer:

No, there are no vertical angles shown.

No. There are no vertical angels I believe.
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