What is the missing length? 20 cm area = 580 cm

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

580 / 20 = 29 cm = P

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<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ is the sample proportion, n is the sample size , $z_{\alpha/2}$ is the critical z-value.

The values needed to calculate a confidence interval at the 99% confidence level are :

Given : Significance level : $\alpha:1-0.99=0.01$

Sample size : n=450

Critical value : $z_{\alpha/2}=2.576$

Sample proportion: $\hat{p}=\dfrac{280}{450}\approx0.62$

Now, the 99% confidence level will be :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.62\pm(2.576)\sqrt{\dfrac{0.62(1-0.62)}{450}}\\\\\approx0.62\pm0.023\\\\=(0.62-0.023,\ 0.62+0.023)=(0.597,\ 0.643)$

Hence, the 99% confidence interval is $(0.597,\ 0.643)$

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