A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is $n = 271$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be

$\^ p = 0.5$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )$

=> $n = 271$

5 0

3 years ago

55. A triangle has two angles measuring 46 and 14. Determine the measure of the third angle.

Step2247 [10]

Answer:

1. 180-(46+14)=120

2.46+14+120=180

Step-by-step explanation:

4 0

3 years ago

What is the domain of the function shown on the graph?

blondinia [14]

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

4 0

3 years ago