1. A researcher in a small town is interested in estimating thetrue proportion of adults in the town who smoke. 215 adults wererandomly selected from the town, and it was found that 36 of themsmoke. We would like to construct a 90% confidence intervalestimate for the true proportion of adults in the town thatsmoke.
a. What are the values of ??/2, ?, ?̂, and ?̂? (Round ?̂and ?̂to three decimal places if needed.) ??/2
Za/2= _______________ ? = _______________ ?Ì‚= _______________ ?Ì‚= _______________
b. Calculate the margin of error (E) for a 90% confidenceinterval. (You must show the setup to receive credit. You may roundto four decimal places if needed.) E = _______________
c. Construct the 90% confidence interval for the true proportionof smokers in the town. (Round limits to three decimal places.)_______________< ? < _______________
please show work and setup