A survey of 250 voters was conducted to determine who they would vote for in an upcoming election for sheriff. Fifty-five percent said they would vote for Longmire.
A/ What is the best unbiased estimate of the population
proportion that will vote for Longmire (in other words, what is
B/ Find the margin of error E that corresponds to a 90% confidence Interval.
C/ Construct the 90% confidence interval about the population proportion p.
D/ Based on your results, can you conclude that Longmire will win the sheriff election? -
E/ What sample size would be required to estimate the true proportion of voters voting for Longmire within 3% at a 95% confidence level? Assume P=0.55
best unbiased estimate of the population proportion that will vote for Longmire =0.55
from abvoe margin of errror =0.0518
c)90% confidence interval about the population proportion p =0.498 ;0.602
as our confidence interval contains values below 0.50 proportion also; therefore we can not conclude that Longmire will win the sheriff election
|here margin of error E =||0.03|
|for95% CI crtiical Z =||1.960|
|required sample size n =||p*(1-p)*(z/E)2=||1057.00|
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