1. Who smokes more: male students or female students? The dataset StudentSur-vey includes data on gender (male/female) and smoking (yes/no) for 362 college students. Do male students smoke more than female students? (a) (2 point) Define the relevant parameters of interest. Write the null and alternative hypotheses. (b) (2 points) The survey results are: 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke. Record the proportions of the two genders using the correct notation for the statistics. Does it appear that males smoke more? (c) (2 points) Suppose that another survey finds that 19 of 189 males in the sample smoke while 17 of the 173 females smoke. Record the proportions of the two genders using the correct notation for the statistics. Explain why this may not be sufficient evidence that males students smoke more.
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Let $p_m$ be the proportion of male students who smoke and $p_f$ be the proportion of female students who smoke. (a) We can write the null and alternative hypotheses as follows: $H_0: p_m = p_f$ (There is no difference in smoking rates between male and female Show more…
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