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Rudik [331]
2 years ago
6

Uma pesquisa entrevistou 1000 indivíduos, 600 rejeitam o partido A, 500 rejeitam o partido B e 200 não rejeitam nenhum partido.

O número de pessoas que rejeitam os 2 partidos
Mathematics
1 answer:
UkoKoshka [18]2 years ago
4 0

Answer:

300 people rejected part A and part B.

Step-by-step explanation:

First let's review the information given by the statement of the exercise.

1000 people surveyed.

600 reject part A, 500 part B and 200 reject no one. Therefore, of those 1000, 800 reject a party, either A or B, since 1000 respondents - 200 who do not reject = 800 who reject.

Among the respondents there are a total of 600 + 500 rejections, that is to say 1100 rejections in total.

But we know that there are only 800 respondents left, therefore the people who rejected two, is the difference between total rejections and the remaining respondents. that is to say:

1100 - 800 = 300, which means that 300 people rejected part A and part B.

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Step-by-step explanation:

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Read 2 more answers
Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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Step-by-step explanation:

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