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The student council at greenwood high school (a large urban high school) wants to know what...

The student council at greenwood high school (a large urban high school) wants to know what proportion of the studen body favors banning plastic water bottles from the school buildings and grounds. A simple random sample of 152 students finds that 85 support banning plastic bottles.
a) Construct and interpret a 95% confidence interval for the proportion of students at Greenwood High School who support banning plastic water bottles.

b)The student council will ban the bottles if they are convinced that the majority favor it. Does this confidence interval provide evidence for the ban? Explain.

c) It turns out that the council’s simple random sample was originally 165 students, but 13 individuals in the sample didn’t respond because they were on an AP Biology field trip. Could this change your answer to part b)? Explain your reasoning. (You need to do the math).
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