A candidate for the Oregon state house wants to conduct a poll in advance of an

Question

A candidate for the Oregon state house wants to conduct a poll in advance of an upcoming election. Her campaign team has determined that the most useful poll would have a margin of error no greater than 496, and a confidence level of 95%. 4. Find the smallest sample size n that would satisfy both of these goals 5. During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. Find the mean number of items over 10 that the express lane clerk observes. Round your answer to two decimal places. 14 12 10 8 6 a. # of items over 10 Find the standard deviation for the number of items over 10 that the express lane clerk observes. Round your answer to two decimal places b.

Explanation / Answer

4)

let population propotion be p

let sample size be n

given that margin of error is no greater than 4% or 0.04

margin of error for 95% confidence interval is 1.96*[p*(1-p)/n]0.5

so  1.96*[p*(1-p)/n]0.5 <= 0.04

p*(1-p)/n <= (0.04/1.96)2

we know that maximum value of p*(1-p) is 0.25

so 0.25/n <= (0.04/1.96)2

n >= 0.25*1.962/0.042

n>= 600.25

n>= 601

so smallest value of sample size is 601

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