Given the vent diagram below , if a student is randomly selected , what is the probability that he or she is not attending eithe
r college?
1 answer:
You might be interested in
Answer:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16
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
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 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16
Answer:
Step-by-step explanation:
Given
Required
Represent the width as an inequality
First, we represent the area as an inequality.
max as used above means less than or equal to.
So, we have:
The area of a rectangle is:
So, we have:
Substitute 10 for L
Divide both sides by 10