The circumference of a circular track is 9km .A cyclist rides round it a number of times and stops after covering a distance of 302km . How far is the cyclist from the starting point.

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Ответ:

melinasilerox9mjh

21.04.2023

Mathematics

n=438

Step-by-step explanation:

-Given the sample proportion $\hat p=0.24$ and the confidence level is 95%.

-The sample size can be calculated using the formula;

$ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

#Substitute parameters in the formula and make n the subject of the formula;

$ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=z_{0.025}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\n=(\frac{z_{0.025}}{ME})^2\hat p(1-\hat p)\\\\\\=(\frac{1.96}{0.04})^2\times 0.24\times 0.76\\\\=437.94\approx 438$

Hence, the desired sample size is n=438

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