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alishajade
06.06.2020 •
Mathematics
A study done by researchers at a university concluded that 70 70% of all student athletes in this country have been subjected to some form of hazing. The study is based on responses from 1 comma 900 1,900 athletes. What are the margin of error and 95% confidence interval for the study? The margin of error is nothing .
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Ответ:
The margin of error is 0.0206 = 2.06 percentage points.
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The margin of error is:
The margin of error is 0.0206 = 2.06 percentage points.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).
Ответ: