The student body president of a high school claims to know the names of at least 1000
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The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students.
a. Identify the population and parameter of interest.
b. Check conditions for constructing a confidence interval for the parameter.
c. Construct a 99% confidence interval for p.
d. Interpret the interval in context.
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