What value of x will make the triangles similar by the SSS similarity theorem?
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Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
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 .
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that
68% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
First of all, expand the left hand side:
Sum like terms:
Add 3 to both sides:
Subtract 3x from both sides:
So this is the solution. Every number smaller than 8 (excluded) is part of the solution of this inequality.