3 years ago

What is the exact number of 2000

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

If you are rounding it will be the same thing

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posledela

Answer:

$MOE_{95} = 1.192\cdot MOE_{90}$

Step-by-step explanation:

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical of z for 95% confidence level and 90% confidence level are:

$z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}$

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