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Empirical Exercises	 463

                                  of workplace smoking bans on smoking, using data on a sample of 10,000
                                  U.S. indoor workers from 1991 to 1993, available on the textbook website,
                                  www.pearsonglobaleditions.com/Stock_Watson, in the file Smoking. The
                                  data set contains information on whether individuals were or were not
                                  subject to a workplace smoking ban, whether the individuals smoked, and
                                  other individual characteristics.7 A detailed description is given in Smoking_
                                  Description, available on the website.

	 a.	 Estimate the probability of smoking for (i) all workers, (ii) workers
                                       affected by workplace smoking bans, and (iii) workers not affected by
                                       workplace smoking bans.

	 b.	 What is the difference in the probability of smoking between workers
                                       affected by a workplace smoking ban and workers not affected by a
                                       workplace smoking ban? Use a linear probability model to determine
                                       whether this difference is statistically significant.

	 c.	 Estimate a linear probability model with smoker as the dependent
                                       variable and the following regressors: smkban, female, age, age2,
                                       hsdrop, hsgrad, colsome, colgrad, black, and hispanic. Compare the
                                       estimated effect of a smoking ban from this regression with your
                                       answer from (b). Suggest a reason, based on the substance of this
                                       regression, explaining the change in the estimated effect of a smoking
                                       ban between (b) and (c).

	 d.	 Test the hypothesis that the coefficient on smkban is zero in the pop-
                                       ulation version of the regression in (c) against the alternative that it is
                                       nonzero, at the 5% significance level.

	 e.	 Test the hypothesis that the probability of smoking does not depend
                                       on the level of education in the regression in (c). Does the probability
                                       of smoking increase or decrease with the level of education?

	 f.	 Repeat (c)–(e) using a probit model.

	 g.	 Repeat (c)–(e) using a logit model.

	 h.	 i.	Mr. A is white, non-Hispanic, 20 years old, and a high school
                                           dropout. Using the probit regression and assuming that Mr. A is
                                           not subject to a workplace smoking ban, calculate the probability
                                           that Mr. A smokes. Carry out the calculation again, assuming that

                               7These data were provided by Professor William Evans of the University of Maryland and were used
                               in his paper with Matthew Farrelly and Edward Montgomery, “Do Workplace Smoking Bans Reduce
                               Smoking?” American Economic Review, 1999, 89(4): 728–747.
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