00:01
For this problem, we are told that exercise 2 .19 on page 58 indicates or introduces a study examining whether giving antibiotics and infancy increases the likelihood that the child will be overweight.
00:12
We're told that prescription records were examined to determine whether or not antibiotics were prescribed during the first year of a child's life, and each child was classified as overweight or not at age 12.
00:24
We're told that the researchers compared the proportion overweight in each group.
00:28
The study concludes that infants receiving antibiotics in the first year of life were more likely to be overweight in childhood compared with those who were unexposed.
00:37
We have 32 .4 % versus 18 .2 % at age 12 with p equals 0 .002.
00:45
In part a, we are asked, what is the explanatory variable, what is the response variable, and to classify each as categorical or quantitative? so in this case, the explanatory variable would be the antibiotics, which is categorical, either they got antibiotics or not, and then we have the response variable is the overweight at age 12 state, which is again categorical, either they are overweight or not.
01:19
In part b, we are asked to state the null and alternative hypotheses and define the parameters.
01:26
So we would have that the null hypothesis would be that the proportion who took biotics or antibiotics.
01:36
So actually i'll say the a equals the proportion overweight for those who did not take antibiotics.
01:45
The alternative hypothesis is that the proportion who took antibiotics or the proportion overweight at age 12 who took antibiotics is greater than the proportion age 12 who did not.
02:00
For part c, or excuse me, for part, oh, i accidentally did part c before b...