SOLUTION: Several studies have shown that women with many children are less likely to get ovarian cancer. In a new study, data are collected from 25 women ages 40-49 with ovarian cancer. The

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Question 1183485: Several studies have shown that women with many children are less likely to get ovarian cancer. In a new study, data are collected from 25 women ages 40-49 with ovarian cancer. The mean parity number of children) of these women is 1.8 with standard deviation 1.2. Suppose the mean number of children among women in the general population in this age group is 2.5.
a) What test can be used to test the hypothesis that women ovarian cancer have fewer children than women in the general population in the same age group?

b) Perform the in question 2a using the critical value method.
c) What do you conclude from this study?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a one sample t-test assuming normality and ability to use the sd as an unbiased estimator of the population sd.
Ho: mean is >=2.5
Ha: mean is < 2.5
alpha=0.05 p{reject Ho|Ho true}
test is a t (df=24)
critical value is t < 1.711
t=(x bar-mean)/s/sqrt(n)
=-0.7/1.2/sqrt(25)
=-3.5/1.2
=-2.92
reject Ho. Conclude that women with ovarian cancer have fewer children.
p-value=0.004