What do you want to be when you grow up? According a nationwide survey of a random sample of

1000 kids under the age of 12, some kids want to be a ninja, a dragon keeper, a dancing unicorn,

and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study

to find a 98% confidence interval for the true proportion of kids who want to be a doctor.

a. Identify the parameter of interest.

b. Check if the conditions for constructing a confidence interval for p are met.

c. Find the critical value for a 98% confidence interval. Then calculate the interval.

d. Interpret the interval in context.