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.

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

In which

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

The margin of error M is given by:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

52% of Independents in the sample opposed the public option.

This means that $p = 0.52$

If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Sample size of size n or higher when $M = 0.01$ . So

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

$0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}$

$0.01\sqrt{n} = 0.8218$

$\sqrt{n} = \frac{0.8218}{0.01}$

$\sqrt{n} = 82.18$

$\sqrt{n}^{2} = (82.18)^{2}$

$n = 6754.2$

A sample size of 6755 or higher would be appropriate.

3 0

3 years ago

Geometry hw! Pls help!

natima [27]

Answer:

Step-by-step explanation:

1. Identfiy The type therom it is which is alternate interior

2. Find the converse of the alternate interior which is the oppoiste so it has to be alternate exterior angle

6 0

4 years ago

Which set of ordered pairs is a function?

fomenos

(5,5), (-5,5) is a function. To be a function x
cannot be repeated.

3 0

3 years ago

Starts at 12 and ends at 6

Oksanka [162]

Answer:

126

Step-by-step explanation:

i don't know if it's correct or not

6 0

2 years ago

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