In a random sample of over 150,000 US adults, the proportion of people who say they exercised at some point in the last 30 days is 0.682.

a. Write the proportion using correct notation.

b. answer the following questions (i-v) about the process of creating a bootstrap distribution.

i. What is the number of data values in each bootstrap sample?

ii. Is the random selection done with or without replacement.

iii. What statistic is recorded for each bootstrap sample?

iv.This bootstrap distribution would be centered near what numeric value?

v. What approximate shape would we expect the bootstrap distribution to be?

c. Suppose the bootstrap distribution described in the previous step gives a standard error estimate of 0.0013. Find a 95% confidence interval for the appropriate parameter, with endpoints to four decimal places.

d. Interpret your confidence interval.

e. What parameter does this confidence interval estimate?