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Hitman42 [59]
3 years ago
10

The National Health Interview Survey, which included a questionnaire administered during in-person interviews with 21,781 adults

, found that 20.6 percent of them were smokers in 2008. (New York Times, Nov 18, 2009). Round your numbers to 3 decimal places. Find a 95% confidence interval for the proportion of American adults who smoked in 2008
Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

The 95% confidence interval for the proportion of American adults who smoked in 2008 is (20.1%, 21.1%).

Step-by-step explanation:

The critical value of <em>z</em> for 95% confidence level is:

<em>z</em> = 1.96

Compute the 95% confidence interval for the proportion of American adults who smoked in 2008 as follows:

CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.206\pm 1.96\times\sqrt{\frac{0.206(1-0.206)}{21781}}\\\\=0.206\pm 0.0054\\\\=(0.2006, 0.2114)\\\\\approx (0.201, 0.211)

Thus, the 95% confidence interval for the proportion of American adults who smoked in 2008 is (20.1%, 21.1%).

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Answer:

  20 20/27

Step-by-step explanation:

  (2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

  = (3 -1/3)(3 +1/3)(2 1/3)

  = (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

  = (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

  = 20 20/27

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3 years ago
A. (-2,3)<br><br> B. (-3,1)<br><br> C. (3,-2)<br><br> D. (1, -3)
tangare [24]
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Six classes from a school in Indiana collected a total of 2,166 pounds of paper to recycle. if each class collected the same amo
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3 years ago
What is the unit ratio for a button of 16 grams and 2 milliliters?
Reika [66]

Answer:

The unit ratio would be 8 grams per milliliters

Step-by-step explanation:

Since, the unit ratio is a fraction with denominator 1,

In other words, the amount of one quantity in unit amount of other quantity is called unit rate or unit ratio.

Here, the amount first quantity = 16 grams,

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6 0
3 years ago
If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc
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Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

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Applying the compound interest formula,

A = P(1 + r/n)^nt

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3 years ago
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