Obesity is a risk factor for many health conditions. Researchers believe that ob
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Question
Obesity is a risk factor for many health conditions. Researchers believe that obesity may raise estrogen levels in women, including serum estradiol, which is a strong risk factor for breast cancer. The dataset includes 211 premenopausal women. Each women had measurements taken of body mass index and waste-hip ratio, which measures abdominal adiposity.
Created a new dataset where the women with missing motherhood status was dropped. Test the hypothesis that whether or not the woman has any kids is associated with her ethnicity. Define your parameters, write out the hypotheses in terms of those parameters, provide the result of the test and the p-value, and provide a one-sentence interpretation in words.
Histogram of Number of Children
Histogram of age at 1st birth
Histogram of age at the first occurrence of menstruation
Ethnic
N
Mean
Std Dev
Std Err
Minimum
Maximum
0
59
0.1186
0.3261
0.0425
0
1.0000
1
145
0.3448
0.4770
0.0396
0
1.0000
Diff (1-2)
-0.2262
0.4390
0.0678
Ethnic
Method
Mean
95% CL Mean
Std Dev
95% CL Std Dev
0
0.1186
0.0337
0.2036
0.3261
0.2761
0.3985
1
0.3448
0.2665
0.4231
0.4770
0.4277
0.5392
Diff (1-2)
Pooled
-0.2262
-0.3598
-0.0925
0.4390
0.4000
0.4864
Diff (1-2)
Satterthwaite
-0.2262
-0.3409
-0.1115
Method
Variances
DF
t Value
Pr > |t|
Pooled
Equal
202
-3.34
0.0010
Satterthwaite
Unequal
155.45
-3.90
0.0001
Equality of Variances
Method
Num DF
Den DF
F Value
Pr > F
Folded F
144
58
2.14
0.0013
Ethnic
N
Mean
Std Dev
Std Err
Minimum
Maximum
0
59
0.1186
0.3261
0.0425
0
1.0000
1
145
0.3448
0.4770
0.0396
0
1.0000
Diff (1-2)
-0.2262
0.4390
0.0678
80 60 40 20 0.4 1.2 2.0 Distribution of Nurdild 4.4 5.2 6.0 2.8 3.0 Numchild 6.8Explanation / Answer
We want to test the hypothesis that if there is difference in means of the number of kids varies between ethnic groups and non-ethnic groups.
let the average no. of kids be MUe for the ethnic group and MUne for the non-ethnic group
H0 Null: MUe = MUne
HA Alternate: MUe != MUne
Result: tstat (2-tailed) = -3.34
p-value = 0.0010
As p-value < 0.05, the results are significant and hence reject the Null hypothesis.
Interpretation - There is significant difference in the average number of kids between ethnic and non-ethnic women.
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