A researcher wishes to determine whether the proportion ofAmerican women who smo

Question

A researcher wishes to determine whether the proportion ofAmerican women who smoke difers from the proportion of American menwho smoke. He wants to test the hypothesis H0:p1= p2 where p1 represents theproportion of American women who smoke and p2 representsthe proportion of American men who smoke. He randomly selects 97married couples of different sexes. Among the 97 women in thesample, 16 are smokers. Among the 97 men there are 19smokers. A) The groups are not independent of each other so the testcannot be used. B) The conditions and assumptions are satisfied. C) The individuals in each group are independent of each otherso the test cannot be used. D) The Success/Failure condition is not satisfied. E) The 10% condition is not satisfied. A researcher wishes to determine whether the proportion ofAmerican women who smoke difers from the proportion of American menwho smoke. He wants to test the hypothesis H0:p1= p2 where p1 represents theproportion of American women who smoke and p2 representsthe proportion of American men who smoke. He randomly selects 97married couples of different sexes. Among the 97 women in thesample, 16 are smokers. Among the 97 men there are 19smokers. A) The groups are not independent of each other so the testcannot be used. B) The conditions and assumptions are satisfied. C) The individuals in each group are independent of each otherso the test cannot be used. D) The Success/Failure condition is not satisfied. E) The 10% condition is not satisfied.

Explanation / Answer

Here married couples are selected as the sample. Since thesmoking habbit of husband may
influence the same in wife also. So we can't draw valid conclusionsby analyzing this data. The correct option is A) The groups are notindependent of each other so the test cannot be used.

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