Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt-50%5C%5C" id="TexFormula1" title="\sqrt-50\\" alt="\sqrt-50\\" align="absmidd

We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

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 $1-\alpha$ , we have the confidence interval with a margin of error of:

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

So

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

4 years ago

WILL MARK BRAINLIST!!!!!!!!!!!!!

Llana [10]

Answer:

f(-3) = 6

Step-by-step explanation:

7 0

3 years ago

(-3, 8) and (6,6) I can’t find the AWNSER to this question

Vadim26 [7]

Answer:

The slope is 3/4

Step-by-step explanation:

7 0

3 years ago

Find the product. Your answer should be in simplest form.

Zielflug [23.3K]

Answer:

1. 1/3 * 7 = 7/3 = 2 1/3 or two and one-third

2. 7/9 * 3/5 = (3*7)/(9*5) = 21/45

dividing numerator and denominator by 3

21/45 = 7/15 or start fraction seven over fifteen end fraction

3. 2 2/3 is equivalent to 8/3, then:

8/3 * 9 = 8 * 9/3 = 8 * 3 = 24

4. -4 1/2 is equivalent to -9/2

-2 1/3 = -7/3

Then:

-4 1/2 * (-2 1/3) = -9/2 * (-7/3) = -3/2 * (-7) = 21/2 = 10 1/2 or 10 one-half

5. (1/3) / (5/6) = 1/3 * 6/5 = 2/5 or two-fifths

6. 3 1/5 is equal to 16/5

16/5 ÷ 8 = 16/5 * 1/8 = 16/8 * 1/5 = 2 * 1/5 = 2/5 or The fraction is 2 over 5.

7. (-3/5) / (-3/4) = -3/5 * (-4/3) = 12/15

dividing each term by 3:

4/5 or The fraction is 4 over 5.

8. -3 1/5 si equivalent to -16/5

-3 1/5 ÷ 2/15 = -16/5 * 15/2 = -16/2 * 15/5 = -8 * 3 = -24

6 0

4 years ago

Read 2 more answers

+4 What is the solution of 2x-15 - <0? • -45x51 0 -4 -45 -4

soldier1979 [14.2K]

Answer:

alto 5.340040 to costco

Step-by-step explanation:

7 0

4 years ago