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3 years ago

10

Evaluate (-4)(8)(-1)=

1 answer:

BartSMP [9]3 years ago

8 0

Your answer is 1,024. Hope this helps!

Work:

-4 x 8 = -32

-32 x -32 = 1,024

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A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian

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Answer:

Question 1:

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Question 2:

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Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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In which

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The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

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Question 1:

We have no previous estimate for the population proportion, so we use $\pi = 0.5$ .

The sample size is n for which M = 0.015. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.015\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.015}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2$

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Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which $n = 2222$ .

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5*0.5}{2222}}$

$M = 0.021$

So 2.1%, and the correct answer is given by option c.

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