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(c) (9 pts) Do a formal hypothesis testing to test Whether the two populations' proportions are signicantly different. Use a = 0.10 and a pvalue method. Set up the appropriate null and alternative hypotheses. Is the conclusion same as the one in part (b)? Question 10. 15 pts In one of the studies, it was found that, in a random sample of 261 married persons, 135 were smokers while in a sample of 239 nonmarried persons there were 131 smokers. (a) (4 pts) Find a 90% condence interval for the true difference in proportion of smokers among the married and non-married populations. Interpret this condence interval. (b) (2 pts) Based on the above interval, can one conclude that there is a signicant difference between the proportions of smokers in the two populations ? Justify your