1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovangra [49]
3 years ago
13

Exercise 6.13 presents the results of a poll evaluating support for the health care public option in 2009, reporting that 52% of

Independents in the sample opposed the public option. If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

Answer:

A sample size of 6755 or higher would be appropriate.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error M is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

52% of Independents in the sample opposed the public option.

This means that p = 0.52

If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Sample size of size n or higher when M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}

0.01\sqrt{n} = 0.8218

\sqrt{n} = \frac{0.8218}{0.01}

\sqrt{n} = 82.18

\sqrt{n}^{2} = (82.18)^{2}

n = 6754.2

A sample size of 6755 or higher would be appropriate.

You might be interested in
Calculate the simple interest an<br>6000 for 3 years at 12%​
timurjin [86]

Answer:

$2160

Step-by-step explanation:

=PRN

6000×0.12×3

7 0
3 years ago
Read 2 more answers
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same
masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0
3 years ago
What geometric<br> constructions can have a<br> perpendicular bisector?
Andrews [41]

Answer:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

5 0
3 years ago
Someone please help me 4(d + 6) =
zaharov [31]

Answer:

4d+24

Step-by-step explanation:

The distributive property says that 4(d+6)=4d+(4)(6)

which simplifies to 4d+24

(I hope that's what you needed, please lmk if you needed more than just simplifying.)

5 0
3 years ago
How many times can 2 1/2 be subtracted from 12 1/2
Luba_88 [7]
2 1/2 = 2.5
12 1/2 = 12.5

This means you can calculate how may times it goes in by dividing it and rounding the number down:

12.5 / 2.5 = 5

*5 can not be rounded down so it stays the same

This means that 2 1/2 goes into 12 1/2 5 times. Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Point slope y-7=2/9x-3
    11·1 answer
  • Aidan has four cards with +, –, ×, ÷ printed on them. He inserts them between the five numbers 5, 4, 3, 2 and 1 to form the expr
    15·1 answer
  • What is the distance, in radical form, between the points (4,6) and (8,-2)?
    14·1 answer
  • Help me with my math hw <br> Don't do fake answers
    10·1 answer
  • Help me please<br><br> Find the slope
    7·1 answer
  • Don is taking a math quiz. He needs to divide 7 tenths by 8 tenths. Which of the following does not represent this problem?
    5·1 answer
  • I know solve 13<br>but i want steps​
    9·2 answers
  • If you had 13 cookies and you gave and even amount to 4 friends would you have any cookies left over
    9·2 answers
  • First right answer gets brainliest :)
    15·1 answer
  • Look It Says Its Incorrect
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!