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In: Statistics and Probability

Estimation for a single population a) Is climate change a major issue in Pacific Island Countries...

Estimation for a single population
a) Is climate change a major issue in Pacific Island Countries (PICs)? To answer that question, a researcher conducts a survey of 1200 randomly selected individuals in PICs. Suppose 800 of the sampled people replied that climate change is a major issue with them.

i. Construct a 95% confidence interval to estimate the population proportion of individuals in PICs who feel that Climate change is a major issue with them.

ii. Assuming adult population of 800 000 in PICs, what is minimum number of adult in PICs that are concerned about Climate change.

B) Suppose Vodafone Company’s manager wants to estimate average amount of money spent on recharge by pre-paid customers. The mean must be estimated to within $2 with 99% confidence. What sample size should be taken? Assume that amount of money spent on recharge are normally distributed with standard deviation  = $3.

C) State best unbiased estimator for Population mean.  

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