What is 86.8954776543 rounded to the nearest millionth/ show work

2 answers:

6 0

Count 7 places from the decimal point ( to the right). That gives you the number 6. This is >= 5 so you add 1 to the previous digit

Answer = 86.895478 to nearest millionth.

stepladder [879]3 years ago

3 0

<span>86.8954776543 rounded to the nearest millionth is 86.895478

The order after the decimal point goes like this:

tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionth</span>

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: