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2 years ago

Solve attachment EASY POINTS

Mathematics

1 answer:

natita [175]2 years ago

3 0

-px + r = -8x - 2

Add 2 to both sides

-px + r + 2 = -8x

Add px to both sides

r + 2 = -8x + px

Divide both sides by p - 8

$\frac{r + 2}{p - 8}$ = x

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Answer:

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And using the z score given by:

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Where:

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Step-by-step explanation:

For this case we have the proportion of interest given $p =0.12$ . And we have a sample size selected n = 474

The distribution of $\hat p$ is given by:

$\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})$

We want to find this probability:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

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Step-by-step explanation:

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