In a clinical study (the same as mentioned in Example 4), 3900 subjects were vaccinated with a vaccine manufactured by growing cells in fertilized chicken eggs. Over a period of roughly 28 weeks, 24 of these subjects developed the flu.
a. Find the point estimate of the population proportion that were vaccinated with the vaccine but still developed the flu.
b. Find the standard error of this estimate.
c. Find the margin of error for a 95% confidence interval.
d. Construct the 95% confidence interval for the population proportion. Interpret the interval.
e. Can you conclude that fewer than 1% of all people vaccinated with the vaccine will develop the flu? Explain by using results from part d.