Answer:
(b)
Since we don't have prior estimation for the population proportion we can use the value
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
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".
Solution to the problem
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 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior estimation for the population proportion we can use the value
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
and filling in:
which simplifies to
which simplifies a bit more to
so
degrees. That means that arc DE also measures 50.04 degrees.
5. 9 - t/6 = 5
6. 12 + 8k = 48
7. 9 • 5t < 6
8. 4 • w <_ (less than or equal to) 51
Answer:
decrease because the ratio number is Less so multiply by 156 to each ratio to find your relationship between. hope this helps.