NEED HELP ON (1) (2) (3) PLEASE ASAPPPPPPPPPPPPPP

A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul

scoray [572]

Answer:

The 95% confidence interval for those opposed is: (0.298, 0.334).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then

$n = 2611, \pi = \frac{825}{2611} = 0.316$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 - 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.298$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 + 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.334$

The 95% confidence interval for those opposed is: (0.298, 0.334).

4 0

3 years ago

Solve for x: -4x – 12 > 36 A. x > -12 B. x > 12 C. x < -12 D. x < 12

Nataliya [291]

Answer: x < -12

Step-by-step explanation:

-4x – 12 > 36

4x > 36+ 12

-4 > 48

x < -48/4

x < -12

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺️❀❤

4 0

3 years ago

Read 2 more answers

What is the diameter of a circle if its circumference is 10pie

stealth61 [152]

Answer:

diameter = 3.18

4 0

3 years ago

Read 2 more answers

Use substitution to solve the following system of equations. What is the value of y?

koban [17]

The answer is C. I solved for the first variable in one of the equations then substitute the result into the other equation.

5 0

3 years ago

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent.

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0

3 years ago