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Nastasia [14]
3 years ago
5

I need help pls and thank you

Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

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Step-by-step explanation:

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A researcher wishes to estimate with 95% confidence, the proportion of the people who own a home computer. A previous study show
vitfil [10]

Answer:

The minimum sample size necessary is 2305.

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.

\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 is:

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

For this problem, we have that:

\pi = 0.4

95% confidence level

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 researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?

We need a sample size of n.

n is found when M = 0.02. So

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

0.02 = 1.96\sqrt{\frac{0.4*0.6}{n}}

0.02\sqrt{n} = 1.96*\sqrt{0.4*0.6}

\sqrt{n} = \frac{1.96*\sqrt{0.4*0.6}}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.4*0.6}}{0.02})^{2}

n = 2304.96

Rounding up

The minimum sample size necessary is 2305.

8 0
3 years ago
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