According to a Gallup Poll taken in East Germany, when adults were asked whether they were thriving, struggling, or suffering, 250 out of 450 said they were struggling. (The number that said they were suffering was 50. In West Germany the number of those who reported suffering was less than half of that.) (a) What is the value of ˆp, the sample proportion that say they are struggling? (b) Check the conditions to determine whether you can apply the Central Limit Theorem (CLT) to find a confidence interval. (c) Find the mean and standard error of the sampling distribution? (d) Find a 95% confidence interval for the population proportion that say they are struggling.
According to a Gallup Poll taken in East Germany, when adults were asked whether they were thriving,
struggling, or suffering, 250 out of 450 said they were struggling. (The number that said they were suffering
was 50. In West Germany the number of those who reported suffering was less than half of that.)
(a) What is the value of ˆp, the sample proportion that say they are struggling?
(b) Check the conditions to determine whether you can apply the Central Limit Theorem (CLT) to find
a confidence interval.
(c) Find the mean and standard error of the sampling distribution?
(d) Find a 95% confidence interval for the population proportion that say they are struggling.
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