Question

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Eagle flu can be devastating for those who are hospitalized. Researchers at JJ Health Services took a random sample of n=2561 hospitalized Eagle flu patients out of a very large population of hospitalized Eagle flu patients. Of these x = 1497 patients showed a symptom of very high fever (VHF). Let p be the (unknown) true proportion of hospitalized Eagle flu patients who show a symptom of VHF. We want to estimate p. X is the random variable representing the number of sampled Eagle flu patients with VHF

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b) What was the sample proportion, p̂, of sampled patients with a symptom of VHF?

d)What is the z critical value that we would use to construct a classical 92% confidence interval for p?

e) Construct a 92% classical confidence interval for p? (     ,       )

f) How long is the 92% classical confidence interval for p?

g) If we are creating a 92% classical confidence interval for p based upon the sample size of 2561, then what is the longest possible length of this interval?

Answer 1

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And here is the ouput :

f) the length of confidence interval is 0.034

g) the longest possible length of the 92% cinfidence interval is 0.034 based on sample size of 2561.