Answer:
your answer is down below
Step-by-step explanation:
The above Venn diagram represents students involved in different extracurricular activities at Franklin High School. Extracurric
ulars are divided into three categories: fine arts (A), sports (S), and clubs (C). What percentage of students at Franklin High School participate in at least two types of extracurricular activities?
A.1.6%
B.13.7%
C.23.5%
D.32.6%
A.1.6%
B.13.7%
C.23.5%
D.32.6%
1 answer:
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Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
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 .
The margin of error:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.