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Alex17521 [72]
2 years ago
11

A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa

ct on the country. The most frequently chosen answer was the September 11, 2001, terrorist attacks, which was included by 77% of the 2,000 randomly selected U. S. Adults.
Construct and interpret a 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events. (Be sure to follow the 4-step process)


a. State (1) b. Plan (2) c. Do (2) d. Conclude (2)
Mathematics
1 answer:
Nadusha1986 [10]2 years ago
7 0

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, the parameters are:

z = 2.575, n = 2000, \pi = 0.77

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

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Step-by-step explanation:

Use Soh Cah Toa for each, using the right equation for the right angle

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Step-by-step explanation:

If you plug it all in a calculator it will show

4 0
3 years ago
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Anna71 [15]

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

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A line passes through the points ( − 16 , 14 ) and ( 8 , 35 ) . Calculate the slope of the line - simplify answer if possible. (
REY [17]

Given two points (x_1,y_1),\ (x_2,y_2), the slope of the line connecting them is defined as

m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}

In your case, the points are

(x_1,y_1)=(-16,14),\ (x_2,y_2)=(8,35)

Plugging these values in the slope formula gives

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3 years ago
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