A survey of 1000 Californians finds reports that 48% are excited by the opportunity to take a statistics class.
The margin of error in this report is 5%. Which answer choice best describes a reasonable range of values for the percent of
students who are excited to take a statistics class?

Answers

Answer 1

Answer:

(0.449, 0.511) is the range for the percent of students who are excited to take a statistics class

Step-by-step explanation:

First of all, let's check that the sample size is large enough to use normal approximation.

Conditions are;

np > 10

n(1-p) > 10

Now, we have;

n = 1000

p = 48% = 0.48

Thus;

np = 1000 × 0.48 = 480 > 10

Also;

n(1 - p) = 1000 × (1 - 0.48) = 520 > 10. This means the conditions for normal approximation have been fulfilled. Hence we can use the confidence interval formula to get the range of values which is;

CI = p ± z√(pq/n)

We are given a margin of error and thus the confidence interval is at 95%.

Critical value of z at 95% CI is 1.96

Thus;

CI = 0.48 ± 1.96√(0.48 × 0.52/1000)

CI = 0.48 ± 0.031

CI = (0.449, 0.511) is the range for the percent of students who are excited to take a statistics class


Related Questions

5/8 divided by 3/4?
Pls answer I’ll give u brainliest

Answers

Answer:0.833333333

Step-by-step explanation:

5/8 divided by 3/4 is just 5/8 x 4/3 which is 0.833333333

Divide: 5/8 : 3/4 = 5/8 · 4/3 = 5 · 4/8 · 3 = 20/24 = 4 · 5 /4 · 6 = 5/6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 5/6.

In words - five eighths divided by three quarters = five sixths.

Maris has 1,400 minutes to use on her cell phone. She has used 45% of her minutes. How many minutes has she
used?
560
630
650
695

Answers

Answer:

630 minutes have been used by Maris

Answer:

630

Step-by-step explanation:

I took the test on edge 2020.

luis wrote a story the number of pages in his story has 17 tens and 9 ones he wrote the number 791 to show the number of pages it luis correct if so explain why?

Answers

Answer:

no he is not

Step-by-step explanation:

17 tens + 9 ones

17(10) + 9(1)

170 + 9

179

he wrote 791 but the correct answer should be 179

Can someone please help me i really don’t know this
;( !!!

Answers

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Megan bought 2 1/4 pounds of bananas for 0.80 per pound and 1 1/2 pounds of strawberries for 1.10 per pound how much more did Megan spend on bananas than on strawberries express the answer as dollars. Cents

Answers

Answer:

$0.15

Step-by-step explanation:

Given that:

Cost of banana per pound = $0.80

Amount of banana bought = [tex]2\frac{1}{4}=2.25\ pounds[/tex]

Cost of strawberries per pound = $1.10

Amount of strawberries bought = [tex]1\frac{1}{2} = 1.5\ pounds[/tex]

To find:

How much more money was spent on bananas than Strawberries.

Solution:

Here, first we need to find how much money was spent on bananas and strawberries.

Then we need to subtract the smaller value from larger value.

From the given values, we can calculate the following:

Cost of banana for 2.25 pounds = $0.80 [tex]\times[/tex] 2.25 = $1.8

Similarly,

Cost of strawberries for 1.5 pounds = $1.10 [tex]\times[/tex] 1.5 = $1.65

Money more spent on bananas = $1.8 -  $1.65 = $0.15

3х + Зу = 21
2x +4y = 22

Answers

Answer:

x is 4 and y is 3

Step-by-step explanation:

welcome:)

7! What does this mean?

Answers

Answer:

5040

Step-by-step explanation:

7!

= 1 × 2 × 3 × 4 × 5 × 6 × 7

= 5040

Write an equation in point-slope form ( y-y₁=m(x-x₁) ) using the points (4,7) and (5, 1)

Answers

Answer:

Y-7 = -6 (x-4)

Step-by-step explanation:

4w
+ 2х + 4w
---------------​

Answers

Answer:8w+2x

Step-by-step explanation:

QUESTION ATTACHED!!!! HELP!

Answers

Answer:

Your answer is correct- A

Step-by-step explanation:

to get from t to d, you need to multiply by 100.

so d= t times 100 (or 100 times t)

d=100t

help!!!!!!!!!!!!!!!!!!

Answers

Answer:

A!

Step-by-step explanation:

Since the manager wants 10% of its A because the rest would be 10%-? So the answer is A...

what is approximately equal to
[tex] \sqrt{47} [/tex]
A: 40
B: 7
C: 16
D: 9.4​

Answers

Answer:

d

Step-by-step explanation:

d

I WILL GIVE BRANLIEST
Select the correct expression and value.
Ray has 3 boxes of chocolates. Each box has 4 layers of chocolates. Each layer has 4 rows of 4 chocolates each. He distributes all the chocolates equally among 16 friends. Identify the expression and the value that give the number of chocolates that each of Ray’s friends gets.I

Answers

Answer:

12 chocolates each

Step-by-step explanation:

3 chocolate

4 layers each layer with 16 chocolates4*16=64 64 per box

64*3=192192/16=12

Given: P is a point on the perpendicular bisector, I of MN.
Prove: PM = PN

Answers

Answer:

Step-by-step explanation:

I can't make specific statements about the proof because the midpoint is missing.

Givens

There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.

MN is bisected by the point on MN where the perpendicular meets MN

The Perpendicular Bisector is is common to both triangles.

Therefore the two triangles are congruent by SAS

PM = PN                Parts contained in Congruent triangles are congruent.

you people seem nice here's 100 points and a brainly

Answers

Answer:

Thank you, you are very sweet and kind!

Step-by-step explanation:

Have a good day!

Answer:

thx

Step-by-step explanation:

What are all of the solutions to the equation 2y2 = 64?
±32
±√ 2
±4√ 2
±8

Answers

Answer:

y=16

Step-by-step explanation:

1 Simplify  2y\times 22y×2  to  4y4y.

4y=644y=64

2 Divide both sides by 44.

y=\frac{64}{4}y=

​4

​64

3 Simplify  \frac{64}{4}

​4

​64

​​   to  1616.

y=16y=16

Done

PLZ HELP ME!!!!!!!!!!!

Answers

[tex]E+F=6c^2-2c-1-4c^2+7c+5\\2c^2+5c+4[/tex]

Therefore, the answer is... 2c² + 5c + 4

Answer:

2c+5c+4

Step-by-step explanation:

I have done this before

For the right triangle shown, use the trig functions to find the value of a. Round your answer to the nearest tenth.

A. 12.8
B. 13.6
C. 12.1
D. 14

Answers

Answer:

C. 12.1

Step-by-step explanation:

tan 30° = 7 / a

a = 7 / tan 30° = 7 / 0.58 = 12.1

x = {(2,3), (2, 4), (2,5), (2, 6)} Is x a function and why?

Answers

Yes x is a function because all the 2’s represent the x’s.

Answer:

No

Step-by-step explanation:

It's not a function because the Input (x) repeats

K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week?

Answers

Answer: 106
From Monday to Saturday the ayote is open 16 hours a week, 6 days a week. 16x6=96. Then add the ten hours it’s open on Sunday and get 106.

The radius of a circle is 11 yards. What is the circle's area?
r=11 yd
Use 3.14 for .

Answers

Answer:

379.94 yards squared

Step-by-step explanation:

The formula for the area of a circle is: [tex]\pi r^{2}[/tex]. Inserting your situation, this equation would be 3.14 x 11 x 11. 11 x 11 is 121. 121 x 3.14 is 379.94. This is your final answer.

Hope it helps!

Crystal works on the weekends! Last Saturday she worked 7.75 hours and on Sunday she worked 8.5 hours. She earns $12 per hour. How much did she earn last weekend?​

Answers

Answer:

She earned $195 last weekend.

Step-by-step explanation:

(7.75x12)+(8.5x12)

93+102

195

$206

Expanation
7.75 7 hours (7 x $12 = 95) .75 ( 3/4 of 100) so 3/4 of 60 is 45 now when she works for 30 mins she would earn 6 dollars because it is half of 12. So if it is 45 mins she would earn 9 dollars so if we add it becomes $104

8.5 8 hours and 30 mins because.5 so 8x 12 becomes 96 + 6 ( half of 12) becomes $ 102

ABCD is an isosceles trapezoid

Answers

Answer:

x = 14

Step-by-step explanation:

Since ABCD is an isosceles trapezoid, we know that AC = BD

Therefore:

x= 3x - 28

Now we can just solve the equation for x:

x - x = 3x - x - 28

0 = 2x - 28

0 + 28 = 2x - 28 + 28

28 = 2x

28/2 = 2x/x

14 = x

x = 14

Hope this helped!

The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordinate for this point.

(-1/4, )

Answers

y=2 (-1/4,2)

solve for y
3y + 4x = 5
3y = 5 - 4x
y = 5/3 - 4/3x

plug in -1/4
y = 5/3 - 4/3(-1/4)
y = 2

Which of the following equations best represent the relationship between X and Y?

Answers

Answer:

should be y just trying to keep my streak

Step-by-step explanation:

Merry Christmas everyone!
May the spirit of Christmas bring you joy, happiness and laughter especially to the person who solves my problem!
solve a +1/2 b +2/5+3/2 a +1/4 b

Answers

Answer::MERRY CHRISTMAS TO U TO !!!❄️

Step-by-step explanation:

answer the following correctly please

Answers

Answer:

the first graph

Step-by-step explanation:

Answer:

The first graph

Step-by-step explanation:

You know the bike is traveling 12 miles per hour, so for every 1 hour there are 12 miles. So the graph's points will be:

(0,0), (1,12), (2,24), (3,36), (4,48)...

please help me with this​

Answers

Answer:

43

Step-by-step explanation:

68+44+25=137

180-137=43

the sum of a triangle will always be 180 degrees.

Answer:

43

Step-by-step explanation:

All of the angles in a triangle add up to 180. So 180- (44+68)= 68. The third side of the triangle on the left is 68 degrees. The third side is a linear pair with  the side in the opposite triangle which has a measure of 180-68=(112). Which leaves x=43

Order the numbers from least to greatest. 99.98 100.1 98.89 100.01

Answers

Answer:

98.89, 99.98, 100.01, and 100.1

Step-by-step explanation:

Answer:

98.89, 99.98, 100.01, 100.1

Step-by-step explanation:

3(x+7)+12x-7(x+1)+9-4x
Need answer and explaintion

Answers

Answer:

4

x

+

23

Step-by-step explanation:

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