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3 years ago

What’s the answer of 0.52= log X (round to the nearest hundredth)

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:3.31

Step-by-step explanation:

0.52=Logx

Logx=0.52

x=10^(0.52)

x=3.31

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95% Confidence interval: (0.0415,0.0647)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1430

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$\hat{p} = \dfrac{x}{n} = \dfrac{76}{1430} = 0.0531$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.0531\pm 1.96(\sqrt{\dfrac{0.0531(1-0.0531)}{1430}})\\\\ = 0.0531\pm 0.0116\\=(0.0415,0.0647)$

95% confidence interval for the population portion with this belief: (0.0415,0.0647)

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