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

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

2 years ago

What is the value of 5 in 756 write and draw to explain how you know?

kykrilka [37]

In the attached diagram you can see Place Value Chart that is used to help understand the value of each digit based on the place or position.

For the number 756:

7 has a value of 7 hundreds, or 700;
5 has a value of 5 tens, or 50;
6 has a value of 6 ones, or 6.

Answer: 5 has a value of 5 tens, or 50

8 0

3 years ago

Read 2 more answers

For some reason it is not 72

asambeis [7]

Answer:

Maybe the Answer is 504

Step-by-step explanation:

Because 8x7 = 56x9 = 504

7 0

2 years ago

I need help <br>perform the indicated operation <br>

RoseWind [281]

I’m pretty sure it’s x-3y over 2

6 0

2 years ago