Answer: 3.945
Step-by-step explanation:
Answer:
And rounded up we have that n=2401
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 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)
The estimated proportion is 0.5 for this case since we don't have prior information. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=2401
Holly's claim is correct, while Joe's claim is incorrect
<h3>
Inequality</h3>
Inequalities are used to represent unequal expressions
<h3>
Expressions</h3>
The inequality expression is given as:
The inequality sign in the given expression is <
This represents less than
This means that;
All values of y are less than the values of x
Less than means that:
- The inequality has a dotted line
- It is shaded down
Hence, Holly's claim is correct
Read more about inequalities at:
brainly.com/question/11234618