A researcher wants to make a 99% confidence interval for a population proportion. A preliminary sample produced the sample proportion of 0.46. The sample size that would limit the margin of error to be within 0.061 of the population proportion is:

Answers

Answer 1

Answer:

the sample size that would limit margin of error is 443

Step-by-step explanation:

The confidence level = 99 percent = 0.99

1 - alpha = 0.99

Alpha = 1 - 0.99

= 0.01

The critical z value for alpha = 0.01 = 2.576

Sample proportion = 0.46

Margin of error E = 0.061

Sample size = p(1-p)(Z/E)²

= 0.46(1-0.46) x (2.576/0.061)²

= 0.46(0.54)(42.23)²

= 0.2484 x 1783.37

= 442.989

= 443

The sample size would be 443


Related Questions

Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?
A. 5
B. -5
C. 0
D. 15

Answers

Answer:

A. 5

Step-by-step explanation:

g(x) = - 2x + 5

Then

g(x) = - 5

- 2x + 5 = - 5

- 2x = - 5 - 5

- 2x = - 10

x = 10 / 2

x = 5

HELP HELP HELP 6 = x/8

The question is what is "x"?

Answers

Answer:

x= 48

Step-by-step explanation:

Multiply 8 by 6 to get x by itself and you get your answer.

Answer:

48=x

Step-by-step explanation:

just multiply 6 and 8

48/8 is 6 right?

so x = 48

Brainiest plz

Please help due tomorrow and i have to go to bed

Answers

Answer:

B & D

Step-by-step explanation:

-3 (0.15 - 0.2 + 0.25p) = - 3 * 0.15 - (-3) * 0.2 + (-3) * 0.25p

-0.45 + 0.6 - 0.75p = 0.15 - 0.75p = -3 (-0.05 + 0.25p}

Write a formula for rrr in terms of \thetaθtheta for the following figure.

Answers

Answer:  r = 4cm/θ

Step-by-step explanation:

For a circle of radius R, the perimeter is:

P = 2*pi*R

Now, if we have an arc with an angle θ, the cord of this arc is:

C = (θ/2*pi)*2*pi*R

Where you can see that if θ = 2*pi (this is the full circle) we have the perimeter of the circle.

In this case, we can see that the cord for an angle θ is 4cm, then:

C = 4cm = (θ/2*pi)*2*pi*r = θ*r

Now we can solve this for r:

 r = 4cm/θ

Answer:

4/Ф

Step-by-step explanation:

The solution of 25x = 300 is 12. The solution of 25x>300 is all values

Answers

Answer: x>12 so anything greater than 12 is correct

Step-by-step explanation:

The solution to the given inequality is all values that are greater than 12.

Inequality:

Important information:

The solution of [tex]25x = 300[/tex] is 12.The given inequality is [tex]25x>300[/tex].

We have,

[tex]25x>300[/tex]

Divide both sides by 25.

[tex]\dfrac{25x}{25}>\dfrac{300}{25}[/tex]

[tex]x>12[/tex]

Therefore, the solution to the given inequality is all values that are greater than 12.

Find out more about 'Inequality' here:

https://brainly.com/question/14926252

A kangaroo jumps 8 meters. How many centimeters does the kangaroo
jump?

Answers

Answer:

800 cm

Step-by-step explanation:

What is the y intercept in this equation y=3x+7

Answers

Answer:

The slope, m = 3; the y-intercept, b=7; and to draw the line on the co-ordinate plane, mark the point where the y-intercept is, b=7. since this is on the y-axis, you plot the ordered pair, (0,7)

Step-by-step explanation:

I hope this helps out!

Please help this is due today!!!!!

Given parallelogram FGHI determine the missing information

Don’t answer with one answer, blank or ridiculous answer please this is serious

Answers

x is 13, y is 8, and the perimeter is 42
13=x 8 = cm perimeter= 42

Lily bought a bag of gummy bears and ate one-third of
them. The next day, she ate 16 more gummy bears. If she
ate a total of 37 gummy bears, how many were originally in
the bag?



HELP ME ASAP PLEASE !

Answers

Answer:

37-16 Subtract the total of gummy bears(37) she ate by 16

=21.

21x3. Then subtract 21 by 3 because of 1/3

=63

Check your work:

63/3

=21

21+16

=37

Step-by-step explanation:

What is the probability of rolling a six on a fair die?

Answers

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a six,

let's use our ratio for the probability of an event.

number of favorable outcomes / total number of outcomes

Since only one side of a die has a six on on it, the number of favorable

outcomes for rolling a six is 1 and since there are six sides to a die and it's

equally likely that the die will landy on any of these sides, the total number

of outcomes is 6.

So the probability of rolling a six is 1/6.

Factor the following: 7a+ 3

Answers

Answer:

It's not factorable.

Step-by-step explanation:

It’s unable to be factored.

Can someone help me plz

Answers

Answer:

I cant see it?

Step-by-step explanation:

PLEASE HELP!!!! SIMPLIFY, OR AT LEAST GIVE THE STEPS ON HOW TO DO IT PLEASE!!!!!!

Answers

Answer:

5.2414

Hope this helps you. Do mark me as brainlist.

5.444
Answer
This is right

For each of the questions below, a histogram is described. Indicate in each case whether, in view of the Central Limit Theorem, you can be confident that the histogram would look like approximately a bell-shaped (normal) curve, and give a brief explanation why (one sentence is probably sufficient). There are no data for these questions, so you will not need to use the computer to answer these questions.

a. A police department records the number of 911 calls made each day of the year, and the 365 values are plotted in a histogram.
b. The day before an election, fifty different polling organizations each sample 500 people and record the percentage who say they will vote for the Democratic candidate. The 50 values are plotted in a histogram. The fifty polling organizations also record the average age of the 500 people in their sample, and the 50 averages are plotted in a histogram.
c. One hundred batteries are tested, and the lifetimes of the batteries are plotted in a histogram.
d. Two hundred students in a statistics class each flip a coin 50 times and record the number of heads. The numbers of heads are plotted in a histogram. Two hundred students in a statistics each roll a die 40 times and record the sum of the numbers they got on the 40 rolls. They make a histogram of the 200 sums.
e. One thousand randomly chosen people report their annual salaries, and these salaries are plotted in a histogram.

Answers

Solution :

a). This histogram is not a bell shaped.

    Here we cannot use the theorem of the central limit as the histogram is being plotted by using 365 samples data values of the one sample.

b). This histogram may be bell shaped approximately since the sample size is large.

   Here there are 50 sample each having a size of 500 and there is 50 sample proportions. The histogram shows sampling distribution of the sample proportion. Thus the central limit theorem can be used.

The histogram is approximately bell shaped as there is 50 samples of each having 500 size and an average of 50. Thus the central limit theorem can be used.

c). The histogram is not a bell shaped.

   In this case central limit theorem cannot be used as the histogram is plotted by using 100 sample data values of one sample.

d). The histogram is a bell shaped since the sample size is large.

   In this case 200 samples  of each having a size of 50 and a data values of 50. The histogram here shows a sampling distribution of the sample proportion. Thus the central limit theorem can be used.

In the second also the histogram is of bell shaped as the sample size is large.

There are 200 samples of each sample having a size of 40 and they have 40 data values , i.e. sum of rolls.

e). It is not a bell shaped.

  The histogram here is plotted using 100 sample data values having one sample. Therefore we cannot use the central limit theorem.

Jade’s cat weights 8.3 pounds. Her dog weighs 5 times as much as her cat.
Use the bar diagram to find the weight of Jade’s dog.

Answers

Answer:

should be 41.5 lbs

Step-by-step explanation:

multiply 8.3 by 5

8.3×5= 41.5

Find the slope of the following graph and Choose the correct result

Answers

Answer: B 1/3

Step-by-step explanation:

For every 3x it travels 1 y so you will get 1/3 as your answer.

At 50y the line is at 10x.  By the time it is at 60 y it is at 40x.  This was a change in y by 10 and change in x by 30.  There fore the answer is 10/30 or 1/3.

Answer:

1/3

Step-by-step explanation:

(10,50),(40,60)

When you find the slope of the two points, you'll get 1/3

1) A brick wall has 60 bricks in the bottom row but each row has 3 fewer bricks than the previous one. How
many bricks are in the 12th row?

Answers

There are 27 bricks in the 12th row. Hope this helps ! :)

Answer:

24 bricks

Step-by-step explanation:

The equation of the bricks per row can be:

b = 60 - 3r

where r = row and b = bricks.

if r = 12:

[tex]b = 60 - 3 * 12\\b = 60 - 36\\b = 24[/tex]

24 = 2w - 10 Solve for w, simplify your answer as much as possible

Answers

Answer:

the answer is 17

Step-by-step explanation:

2w-10=24

10+24=34

34/2=17

so w=17

Answer:

w=17

Step-by-step explanation:

Find the pattern. What numbers come next?
61, 54, 47, 40,

Answers

Answer:

33

Step-by-step explanation:

It's decreasing by 7

The relation is the descending the series by 7 and the next term is 33.

We have to determine, find the pattern and what numbers come next

We have given that, 61, 54, 47, 40.

What is the series?

A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.

61-54=7

54-47=7

47-40=7

So the next term is

40-7=33

Therefore the relation is the descending the series by 7 and the next term is 33.

To learn more about the series visit:

https://brainly.com/question/25870256

Hellpppppppppppppppppppp

Answers

Answer:

6

Step-by-step explanation:

I just learned about this yesterday. The line inside of the box is the median. The left side of the box, on the number 2, is the lower quartile. The dot on the line to the left, outside of the box, is above the smallest value. The right side of the box is the upper quartile. The line outside of the box on the right is the highest value. Hope this helps!

PLSSSSS HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP IL GIVE MRE POINTS

Answers

ok for the first one. since 24/4 is 6 the first answer is correct but since each walk is $6 and 5 walks would get her $30. both answers are correct

then for the second one, you would start with 3 miles per 1 hour (because 6/2 is 3) and then the answer would be 9 miles in 3 hours because if she did 6 miles in 2 hours, 6+3 would be nine. so the last one is correct

the product of seven and m

Answers

answer:

7m

step-by-step explanation:

in case of a variable being multiplied to a number, we just put the number and the variable without putting any operation between them

Multiply -4x^-2y(2yx^3+6xy^3-3y^3x4)

Answers

Answer:

below here hopes it helps!

Step-by-step explanation:

I need help solving this problem

Answers

Answer:

[tex](x,f(x)) = (-1,8)[/tex] -- Another point

[tex]a = 8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = a|x|[/tex]

[tex](x,f(x)) = (1,8)[/tex]

Solving (a): Another point

Substitute 1 for x and 8 for f(x) in [tex]f(x) = a|x|[/tex]

[tex]8 = a|1|[/tex]

Remove absolute bracket

[tex]8 = a*1[/tex]

[tex]8 = a[/tex]

[tex]a = 8[/tex]

Substitute 8 for a in [tex]f(x) = a|x|[/tex]

[tex]f(x) = 8|x|[/tex]

Let x = -1

[tex]f(x) = 8|-1|[/tex]

Remove absolute bracket

[tex]f(x) = 8*1[/tex]

[tex]f(x) = 8[/tex]

So, another point is:

[tex](x,f(x)) = (-1,8)[/tex]

Solving (b): The value of a

This has been solved in (a) above

[tex]a = 8[/tex]

A luncheon for 62 guests is being planned. If a table can seat 4
guests, what is the fewest number of tables needed to seat all
62 guests?

Answers

Answer:

16 tables

Step-by-step explanation:

Given

[tex]Guests = 62[/tex]

[tex]Seat = 4\ guests[/tex]

Required

Determine the minimum number of table

This is calculated as:

[tex]Table = \frac{Guests}{Seats}[/tex]

[tex]Table = \frac{62}{4}[/tex]

[tex]Table = 15.5[/tex]

Approximate (Round up)

[tex]Table = 16[/tex]

A migrating bird flies 390 miles in 15 hours. How many miles does it fly in 4 ​hours?

Answers

Answer:

104

Step-by-step explanation:

390/15=26

26 times 4 is 104

Question is down below
⬇️

Answers

The answer is C!!!!! Your welcome ❤️
The answer is 5 : )

What is the median of the data set represented by the dot plot?


Enter the answer in the box.

Answers

Answer:

5

Step-by-step explanation:

Median - The middle number in a set a data

First, you need to list the numbers least, on the left, to greatest, on the right.

3, 3, 4, 5, 5, 5, 6, 8, 8

Once you have done this, you can follow these steps.

Cross off the lowest number. Cross off the highest number. Repeat until there is one or two numbers left.

3, 4, 5, 5, 5, 6, 8

4, 5, 5, 5, 6

5, 5, 5

5

Since there is one number left, that is the median. In case of there being two numbers left, you add them together. Then divide by 2 and that would be your median

Answer:

[tex]\Large \boxed{\sf 5}[/tex]

Step-by-step explanation:

Data set is 3, 3, 4, 5, 5, 5, 6, 8, 8

Median is the middle value in a data set

Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?

Answers

Answer:

259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total

Step-by-step explanation:

y = 2 - 3x
3 = y + 2x

Answers

Answer:

(-1,5)

Step-by-step explanation:

The answer is (-1,5)
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