Question

Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.
(a) What is the best estimate for the difference in the proportion of smokers, using male proportion minus female proportion?

Answer 1

Answer:

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

Step-by-step explanation:

We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.  

We have the following proportion:

$27:x=193:100\%\\\\193x=27\cdot 100\\\\193x=2700\\\\x=\frac{2700}{193}\\\\x=13.9\%$

So we get that 13.9% of men smoke.

We have the following proportion:

$16:x=169:100\%\\\\169x=16\cdot 100\\\\169x=1600\\\\x=\frac{1600}{169}\\\\x=9.5\%$

So we get that 9.5% of women smoke.

We get: 13.9%-9.5%=4.4%.

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.