(7,14,21) subset or equal (7,14,21)

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

4 years ago

In a school, 30% of the students arrived by private car, 15 travel by taxi and the remainder walk to school. If the school has a

Yuliya22 [10]

Answer:

57.5 students

Step-by-step explanation:

Given that

The 30% students would be arrived by private car

So 15% would be travelled by taxi

And, the remaining i.e. 55% would be walk to school

Since the population of the school is 230

So by car, the students would be

= 230 × 0.30

= 69

By walk, the students would be

= 230 × 0.55

= 126.50

Now the more students would be

= 126.50 - 69

= 57.5 students

6 0

3 years ago

What is the equation of the line in slope-intercept form that passes through point (4, 5) and is parallel to the line y = −2x −

Anestetic [448]

Answer:

$y=-2x+13$

Step-by-step explanation:

<u>Slope-intercept form</u> of a linear equation:

$y=mx+b$

where:

m is the slope
b is the y-intercept

<u>Given equation</u>:

$y=-2x-2$

Therefore, comparing the given equation with the slope-intercept form:

slope (m) = -2
y-intercept (b) = -2

The slopes of <u>parallel lines</u> are equal.

Therefore, the slope of the new line is -2.

Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:

$\implies y=mx+b$

$\implies 5=-2(4)+b$

$\implies 5=-8+b$

$\implies b=13$

Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

$\implies y=-2x+13$

Learn more about the slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/28185014

5 0

2 years ago

Put in order from least to greatest<br> 2/3 0.6 - 5/6 - 6.6

valentina_108 [34]

-6.6.-5/6.0.6,2/3"""""""""""""""""
Heres oyur answer i hope that can help u
Believ in you self
"""""""""""""""""""""

4 0

3 years ago

In a football tournament, each team played exactly 19 games. Teams get three points for everyone and one point for every time. A

irinina [24]

We can actually deduce here that when the tournament ended, team Olympus have tied for 13, 10, 7, 4, 1 times.

<h3>What is inequality?</h3>

In Mathematics, inequality is used to express or show quantities that are less than, greater than, greater than or equal to, less than or equal to.

The following can be seen in inequality expressions:

≤
≥
>
<
≠

Looking at the question, we can see that each team plays exactly 19 games.

Every win (w) = 3

Every tie (t)= 1

Every loose = 0

But Olympus got a total of 28 points

Thus: 3w + t = 28 ---------(1)

Note that each team plays 19 games

Thus, T + W ≤ 19 --------------(2)

and T , W ≥ 0

Looking at equation (1) and (2)

=> 2W ≥ 9

=> W ≥ 4.5

( match can be won in integers only )

=> W ≥ 5

W - 5, 6, 7, 8, 9

T - 13, 10, 7, 4, 1

Loose - 1, 3, 5, 7, 9

Thus, team Olympus have tied for 13, 10, 7, 4, 1 times.

Learn more about inequality on brainly.com/question/27771009

#SPJ1

7 0

2 years ago