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AnnyKZ [126]
3 years ago
6

__________We can be 99% confident that the true percentage of U.S. adults Twitter users who get some news through Twitter is bet

ween the upper and lower bounds of the confidence interval.
Mathematics
1 answer:
irakobra [83]3 years ago
7 0

First part of question states;

A poll conducted in 2013 found that the proportion of of U.S. adult Twitter users who get at least some news on Twitter was 0.52 The standard error for this estimate was 0.024, and a normal distribution may be used to model the sample proportion.

Answer:

<u>True</u>

<u>Step-by-step explanation:</u>

From the statement above and after constructing the 99% confidence interval for the proportion of U.S. adult Twitter users we can infer that the 95% confidence upper and lower bounds are 0.52 and 0.79, which means that there's a 99% confident that the true percentage of U.S. adults Twitter users who get some news through Twitter is between the upper and lower bounds of the confidence interval.

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Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation o
aniked [119]

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{4}{\sqrt{10}} = 2.08

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

5 0
2 years ago
B. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle<br>​
ankoles [38]

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

7 0
2 years ago
Help pls... 20 points
jok3333 [9.3K]
Honestly I don't know congruent so congrats I can't answer sorry
8 0
3 years ago
select the expression that represents the following problem: a glass hold 1/4 sliter of liquid. how many glasses of liquid are i
Alex777 [14]

Answer:

20 glasses

Step-by-step explanation:

A glass holds 1/4 liter of water so if you have 4 cups you will have 1 liter of water. If you need 5 liters than you just multiply the number of cups per liter by the number of liters

4 x 5 = 20

5 0
3 years ago
LAST QUESTION!! PLEASE HELP!
DIA [1.3K]
7. previously answered in another question, but last choice is correct

8.  yes a diameter is a chord. A chord is any line that connects 2 points on a circle

7 0
3 years ago
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