Mathematics: An epidemiologist wants to estimate the proportion of residents in her city that carry the hepatitis a virus. it is thought that the proportion is approximately 46%. how large a sample of residents should be taken to estimate the proportion who carry the hepatitis a virus to within 8 percentage points with 95% confidence?

An epidemiologist wants to estimate the proportion

erikloza12pdidtx

16.03.2022

149

Step-by-step explanation:

Given : The proportion of of residents in her city that carry the Hepatitis A virus =0.46

Margin of error : E=0.08

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2} =1.96$

The formula to calculate the sample size :-

$n=(p(1-p))(\dfrac{z_{\alpha/2}}{E})^2$

$\Rightarrow\ n= (0.46(0.54))(\dfrac{(1.96)}{0.08})^2\\\\\Rightarrow\ n=149.1021\approx149$

Hence, the required minimum sample size = 149

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nakeytrag

30.07.2020

No; he should have multiplied 800 by .95 and made sure that the total weight of the equipment was less than that amount. Hope this helps :)

Step-by-step explanation:

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