From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer 1

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{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}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

A similar problem is given at https://brainly.com/question/16807970


Related Questions

.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109

Answers

Answer:

109r6

Step-by-step explanationi got it

its urgent .have an exam tomorrow .pls help

Answers

B- 55 minutes. 6:20-7:15 in duration is 55 mins

PLEASE HELP GUYS I’m so stuck

Answers

Answer:

what we have to do here hmm mm mm .......

I need help with a pre calc/ law of sines question

Answers

Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

Which statement is true ?

Answers

Answer:

d

Step-by-step explanation:

plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members

Jason gets 15 gallons of gas for $3.90 a gallon which gives him 20 miles to the gallon. How many miles can Jason travel on one tank of Jason?

Answers

0.75 miles
15 divided by 20 as its in proportion

Answer:

0.75 mi.

Step-by-step explanation:

15/20=3.90/x

The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?

Answers

Answer:

72 000 fiction books

Step-by-step explanation:

80000 * 90% = 80000 * 0,9 = 72000

Answer:

The library own 72,000 fiction books.

Step-by-step explanation:

# of fiction books =(total # of books)(% of fiction books)

[tex]B_f=(80,000)(.90)=72,000[/tex]

Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️

Answers

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Previous Answer is Correct

Complete the table below to find solutions to the linear equation −3x−y=27.

Answers

Answer:

×=3×+y=27

Step-by-step explanation:

the variables are not the same so you cant do anything

Answer:

X   Y      (X,Y)

0 -27     (0,-27)

4 -39     (4,-39)

-9 0       (-9,0)

please help me with these questions I could truly appreciate it. No link please!

Explain why an exponential or logarithmic function would not be used to model the graph from question 1?

For Question 1, what is the y intercept and explain the meaning in the context of that problem?

Answers

Answer:

see below

Step-by-step explanation:

neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.

1. 600, y intercept is when the study began

A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.

The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600

The function type

An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.

These functions would not increase and then decrease or decrease and then increase at different intervals.

From the attached graph, we can see that the graph increases and decreases at several intervals.

Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.

The y-intercept

The graph cross the y-axis at y = 600.

Hence, the y-intercept is 600

Read more about exponential and logarithmic functions at:

https://brainly.com/question/3181916

Solve the equation: c + -22 = 16

Answers

Answer:

c=38

Step-by-step explanation:

Answer:

c = 38

Step-by-step explanation:

c+(-22) = 16c-22 = 16c = 16+22c = 38

2 numbers that round to 70. The sum of the two numbers is 136

Answers

Answer:

68 and 68

Step-by-step explanation:

hope this helps

if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park

Answers

Answer:

2 parks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20

venere madona de mihai eminescu particularitatile textului literar și poetic​

Answers

can u say it in english ?

Help help math help help help math

Answers

Step-by-step explanation:

We know that angles on a straight line add up to 180, so:

5x+5+5x+5=180

Simplify

10x+10=180

Solve

Take away 10 from both sides

10x=170

Divide 170 by 10

x = 17

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

https://brainly.com/question/12030750

#SPJ2

Precalculus graph function help please

Answers

B and c and d i think

What is the answer to 5a-1 when a=1/3

Answers

Answer:

.65

Step-by-step explanation:

In 20P9 what does the "20"
represent?
A. Permutation
B. The number of items in the set.
C. The number of objects selected from the set.

Answers

Answer:

It is b

Step-by-step explanation: Because only one that makes sense

(2a+3) by (a+2) binomial multiplication ​

Answers

Answer:

refer to the attachment

hope it helps.......

Answer:

2a² + 7a + 6

Step-by-step explanation:

(2a+3) (a+2) = 2a(a) + 2a(2) + 3(a) + 3(2) = 2a² + 4a + 3a + 6 = 2a² + 7a + 6

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.

Answers

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.

Answers

Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)

Answer:

it is A

Step-by-step explanation:

just finished

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase

Answers

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

What is the answer to the equation 56/3+7=

Answers

Hey there!

56/3 + 7

= 56/3 + 7/1

= 56/3 + 21/3

= 56 + 21/ 3 + 0

= 56 + 21/3

= 77/3

≈ 25 2/3

≈ 25.666667

Therefore, your answer is: [77/3] which is approximately [25.666667]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

If 22 is added to a number and the sum is divided by 2, the result is 6 times a number. Find the number

Answers

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

6*2=12

May you please give brainliest?

After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?

A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.

Answers

Answer:

D. He left his house at 8:40 a.m

I say go with answer 8:20

Can anyone help me answer this

Answers

Answer:

(-4;5)

Step-by-step explanation:

Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:

3 * (-4) - 2 * 5 = -12 - 10 = -22

Evaluation the following:

A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]

Answers

Answer:

A. √32y²/72x²= 32y/72x

Step-by-step explanation:

√32y²/72x²= 32²/72²

= 32/72.

B. √125m³/36m²

=4192.6/108

=38.8203.

C. √x²/y²-y²/x²

therefore, x²=1, y²=-1

that is, √1/-1 - -1/1= -1(-)-1=0.

Solve
-4(-2)

A. -8

B. -6

C. -2

D. 8

Answers

Answer:

D

..............................

Other Questions
Help me please (I have to write something to send a question) Frank is going to buy some tiesat $7.50 per tie and some shirtsat $18.50 per shirt. If he buystwice as many ties as shirts andspends no more than $205, what is the greatest number of shirts hecan buy? [All prices include tax.] 4. How many y-intercepts can the graph of an absolute value function have? Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.How much farther did Molly walk than her brother and sister combined?O 0.38 miles1.37 milesO 2.22 milesO 5.53 miles 50 POINTS!!Write anequation for the circle with centre (0,0), if (12,5) lies on its circumference Question 1 (3 points) What value of p makes this equation true? 3p - 8 = -23 . O p = -6 Op = -5 Op = 5 p = 6 Which of the following statements about erosion is true? a. Erosion occurs as a result of drastic changes in temperature. B. Erosion occurs when wind or water moves over sediment, soil, or rocks. C. Physical and chemical are the two types of erosion. D. Movement is not required for erosion to take place. Please select the best answer from the choices provided A B C D. What is a possible reason for choosing the survey question "If you had one superpower what would it be" Kyra is protesting corruption in the mayoral office. She is afraid that the mayor has access to her emails where she discusses his wrongdoings. Which of the following laws protects her electronic communication from being accessed by the government or law enforcement agencies? How does Bissinger portray how factors of race and socioeconomic status affect high school football in Odessa? which type of research suffers from the problem of overfamiliarity? true or false windows 98 and windows xp are examples of an operating system? PLEASE HELP, I WILL GIVE BRAINLIEST, 5 STARS AND ALL THAT STUFF, WRONG ANSWER OR LINK AND I WILL REPORT YOU thank you Cute Castle Toy Store is having its annual holiday sale, when every toy in the store getsmarked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to hiscollection, each at $3 less than full price. Ted pays a total of $92. How much does eachMighty Muscle action figure cost at full price? A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning. 20 points!!!!!!!! Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as possible. Find out the other tribe that fought with Tutsi(or Abatutsi, are an ethnic group of the African Great Lakes region) that almost caused the extinction of a group? How did religion play a role in the oppression of natives by the spanish?. Rivers that plunge over escarpments create large waterfalls known as rifts.Question 3 options: True Falseplease help please please please im being timed If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third: If a = b and b = c, then a = c