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Alisiya [41]
3 years ago
14

In a survey of 23312331 ​adults, 730730 say they believe in UFOs. Construct a 99 %99% confidence interval for the population pro

portion of adults who believe in UFOs. A 9999​% confidence interval for the population proportion is ​(nothing​,nothing​). ​(Round to three decimal places as​ needed.) Interpret your results. Choose the correct answer below. A. With 9999​% ​probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval. B. The endpoints of the given confidence interval shows that 9999​% of adults believe in UFOs. C. With 9999​% ​confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. D. With 9999​% ​confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

0.288 < p < 0.338

Step-by-step explanation:

We have 2331 adults polled and 730 said they believe in UFOs.  We are to construct a 99% confidence interval for the population proportion.  We are told to round to 3 decimal places as needed.  

We need to find p-hat and q-hat

p-hat = 730/2331 = 0.313

q-hat = 1 - p-hat = 1 - 0.313 = 0.687

Since the sample size is greater than 30, we use a z-value for 99% confidence, which is 2.575

See attached photo for the construction of the confidence interval

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b) How many ways can you deal cards (from a deck of 52) to 4 people when each player gets 7 cards. 2 hidden and 5 visible. Assum
Mariana [72]

Answer:

{52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

Step-by-step explanation:

The dealing of the cards can be seen in the following way:

We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in {52 \choose 7} ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in {7 \choose 2} ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in {45 \choose 7}. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in {7 \choose 2} ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in {38 \choose 7}. And again, we have to choose which ones are the hidden ones, which can be chosen in {7 \choose 2} ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in {31 \choose 7} ways. And choosing which ones are the hidden ones for this player can be done in {7 \choose 2} ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).

{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

7 0
3 years ago
HELLLLPPPPPPPP PLEASEEEEEEEEE
tatyana61 [14]

Answer:

10.5

Step-by-step explanation:

KET\cong KIT...... (given)

\therefore KE \cong KI.... (csct)

\therefore m(KE) =m(KI)

\therefore 10x-34= 4x + 29

\therefore 10x-4x= 34 + 29

\therefore 6x= 63

\therefore x=\frac{63}{6}

\therefore x=10.5

4 0
3 years ago
What is the slope of the line that passes through the points
svetoff [14.1K]

Answer:

Step-by-step explanation:

6 0
2 years ago
Write the equation of the line that passes through the given points in slope intercept form
shepuryov [24]

Answer:

y=3x

Step-by-step explanation:

To put this in slope intercept form, let’s first find the slope

To find slope, use the equation Y2-Y1/X2-X1

When we do this, we get 0-6/0-2

This simplifies out into -6/-2 which is 3

So our slope is 3. Our equation becomes y=3x+b

Now, we find our b

We don’t have to do any solving for this, since we have the point 0,0 listed for us, it goes through the origin and that is our y-intercept or b

So our final equation is y=3x

Hope this helps and have a good day!

5 0
2 years ago
Read 2 more answers
Plssss help (ZOOM IN TO SEE FULL PIC)
MA_775_DIABLO [31]

Answer:

d and e

Step-by-step explanation:

IV must have a pos x value and a negative y value

we can eliminate everything except d e & f

f is wrong bc it has a positive 3 value

5 0
2 years ago
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