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nydimaria [60]
3 years ago
14

In a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost

five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans. a) Define p and p (what proportions are we looking at? This questions is not asking the value of p) b) Find the margin of error for the 2012 poll if we want 90% confidence in our estimate of the percent of national adults who are baseball fans. c) Explain what that margin of error means. d) If we wanted to be 99% confident would the margin of error be larger or smaller.e) Find that margin of error
Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer:

0.0259,0.0406

Step-by-step explanation:

Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.

a) p is the proportion of national adults who are baseball fans.

b) For 2012 poll, p=0.48

Std error = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.48*0.52}{1006} } \\=0.0158

Margin of error at 90% = 1.645 * std error

= 0.0259

c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie

d) Margin of error would be larger for 99% because critical value 2.58 >1.645

e) Margin of error 99% = 2.58*0.0157\\=0.0406

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Step-by-step explanation:

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Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
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Answer:

870 as it is the only number in the list which closest and lesser then 956.

(if you divide, then you get 10 as quotient and 86 as remainder)

we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

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2 years ago
Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

<u> Dilation:</u>

  • Transformation in which the image has the same shape as the pre-image, but the size changes.
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<u>Translation:</u>

  • Transformation in which the image is the same size and shape as the pre-image.
  • Translation preserves betweenness of points.
  • Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why  they are similar is:

<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>

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Which ordered pair is a solution to the system of equations?
iren2701 [21]

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

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

Given equation are not presented in proper format. So, let assume the given system of are as below,

         2 x - y = -1

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Now, subtract the second equation from the first, we get

          (2 x - y) -(2 x - 4 y) = -1 -8

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Substituting y = - 3 into the first equation, we get

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Now, the answer is (x, y) = (- 2, - 3)

3 0
3 years ago
Determine the written description of the complement of the given event. When 13 computers are shipped​, at least one of them is
julsineya [31]

Answer:

A. None of them are defective

True that's equivalent since none defective means 0 defective

Step-by-step explanation:

For this case we have a total of 13 computers and we define the event:

E= "At least one of them is defective"

When we say at last one means that can be 1,2,3,4,5,6,7,8,9,10,11,12 or 13

The complement for this case is E' ="None of them is defective"

Let's analyze one by one the possible options:

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True that's equivalent since none defective means 0 defective

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D. All of them are defective

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