You must do all of your calculations on the TI calculator. DO NOT Use the Stats -> Tests for any of the problems. 1. In a clinical study, 4200 subjects were vaccinated with a flu vaccine manufactured by growing cells in fertilized chicken eggs. Over a period of roughly 28 weeks, 32 of these subjects developed the flu. a. Find the observed statistic. Use the proper notation (x or pˆ) b. Verify that the sample size is large enough to use the normal distribution to construct a confidence interval for the proportion of the population that were vaccinated with the vaccine but still developed the flu.  c. Construct a 95% confidence interval for the proportion of the population that were vaccinated with the vaccine but still developed the flu.

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You must do all of your calculations on the TI calculator.

DO NOT Use the Stats -> Tests for any of the problems.

1. In a clinical study, 4200 subjects were vaccinated with a flu vaccine manufactured by growing cells in fertilized
chicken eggs. Over a period of roughly 28 weeks, 32 of these subjects developed the flu.


a. Find the observed statistic. Use the proper notation (x or pˆ)


b. Verify that the sample size is large enough to use the normal distribution to construct a confidence interval for the proportion of the population that were vaccinated with the vaccine but still developed the flu. 


c. Construct a 95% confidence interval for the proportion of the population that were vaccinated with the vaccine but still developed the flu. 


d. Provide an interpretation of your interval in the context of the data. 


e. According to your confidence interval in c), is it reasonable to assume that fewer than 1% of all people vaccinated will develop the flu? Clearly answer “yes” or “no”. _______. And provide an explanation for your answer. 

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