Explain how to do any form of dividing radicals

Mathematics

1 answer:

exis [7]2 years ago

6 0

Answer:

the diagram represents the process of enlarging a rectangle using a scale factor of 3. the width of the original rectangle must be:

Step-by-step explanation:

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In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent. An independent research firm

Oksi-84 [34.3K]

Answer:

A sample size of 657 is needed.

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:

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

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 $Z = 1.96$ .

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that $\pi = 0.19$

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when $M = 0.03$