All else being equal, a study with which of the following error ranges would be the most reliable?

Mathematics

2 answers:

romanna [79]3 years ago

7 0

The answer is C (for APEX).

aleksandrvk [35]3 years ago

6 0

Answer:

The correct option is C

Step-by-step explanation:

Percentage point : It is defined as a unit for the arithmetic difference of two percentages and greater the difference more will be the error range.

So, the most reliable error range is the one whose percentage point is minimum.

Now, among the provided options , 2 percentage points is minimum so it will be the most reliable error range.

Hence, Option C. 2 percentage points is correct

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

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 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

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

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: