What is the value of the expression shown below?
1 answer:
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Using the z-distribution, it is found that the 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).
If we had increased the confidence level, the margin of error also would have increased.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96. Increasing the confidence level, z also increases, hence the margin of error also would have increased.
The sample size and the estimate are given as follows:
.
The lower and the upper bound of the interval are given, respectively, by:
The 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).
More can be learned about the z-distribution at brainly.com/question/25890103
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One of the angles of a right triangle is always 90 degrees. we have another 13.7 degrees angle. so we can find the other acute angle
the other acute angle measures 76.3
the other acute angle measures 76.3
An inequality is solved by more than one value - usually an interval, or a union of intervals.
In this case, we have:
Add 14 to both sides:
Divide both sides by 12: