Using this study: The data were collected at Bay State Medical Center, Springfie
ID: 3306929 • Letter: U
Question
Using this study: The data were collected at Bay State Medical Center, Springfield, MA, during 1996. The goal of this case control study was to identify risk factors associated with giving birth to low birth weight babies (weighing less than 2500 grams). The data includes the birth weight (in grams) of 189 newborn babies, 59 of whom had low birth weight and 130 of whom had normal birth weight, along with some characteristics (e.g., age, smoking status) of their mothers.
In this assignment, you will define the steps needed to evaluate the continuous response and continuous explanatory variable research question and perform the appropriate hypothesis test with Stata. Make sure you explicitly show all five steps and consider any necessary assumptions that were discussed in the lecture.
These steps are:
1.Define the parameter of interest
2.State the hypotheses
3.Determine the test statistic and p-value considering any necessary assumptions
4.Decide whether to reject or not reject the null hypothesis
5.Clearly state a conclusion in the context of the problem
Explanation / Answer
Given that,
sample one, x1 =59, n1 =189, p1= x1/n1=0.312
sample two, x2 =130, n2 =189, p2= x2/n2=0.688
null, Ho: p1 = p2
alternate, low birth weight babies are not so frequent in comparison to other, H1: p1 < p2
level of significance, = 0.05
from standard normal table,left tailed z /2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic (z) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.312-0.688)/sqrt((0.5*0.5(1/189+1/189))
zo =-7.304
| zo | =7.304
critical value
the value of |z | at los 0.05% is 1.645
we got |zo| =7.304 & | z | =1.645
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: left tail - Ha : ( p < -7.3037 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: p1 = p2
alternate, H1: p1 < p2
test statistic: -7.304
critical value: -1.645
decision: reject Ho
p-value: 0
we have evidence to claim low birth weight babies are not so frequent in comparison to other
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