Computational Exercises Lsr Heart Disease and Obesity in American Samoan Men. Th

Question

Computational Exercises Lsr Heart Disease and Obesity in American Samoan Men. The study described in Section 18.1.1 also included men. The data for men are shown in the accompanying table. (a) Compute (0) the sample proportions of CVD deaths for the obese and nonobese groups; (i) the standard error for the difference in sample proportions; (iii) a 95% confidence interval for the difference in popula- tion proportions. (b) Find a one-sided p-value for the test of equal population proportions (using the standard error already computed). (c) Compute (G) the sample odds of CVD death for the obese and nonobese groups: (i) the estimated odds ratio, (ii) the standard error of the estimated log odds ratic; (iv) a 95% confidence interval for the odds ratio, (d) write a concluding sentence that incorporates the confidence interval from part (c). CVD death Yes Obese Not obese No 1,179 1,409 0

Explanation / Answer

We have given that data of CVD death.

If we find totals then we get following table.

2632

Sample proportion of CVD deaths for the obese :

p1 = 1201/2632 = 0.46

Sample proportion of CVD deaths for non obese :

p2 = 1431/2632 = 0.54

Now we have to test the hypothesis that,

H0 : p1 = p2 vs H1 : p1 not= p2

where p1 and p2 are two population proportions.

Assume alpha = level of significance = 5% = 0.05

number of trials = 2632 , 2632

number of successes : 1201, 1432

Now we can test this hypothesis in MINITAB.

steps :

STAT --> Basic statistics --> 2 proportions --> Click on summarized data --> Input all the values --> options --> Confidence level : 95.0 --> Test difference : 0.0 --> Alternative : not equal --> Use pooled estimate of p for test--> ok --> ok

Test and CI for Two Proportions

Sample X N Sample p
1 1201 2632 0.456307
2 1432 2632 0.544073

Estimate for p(1) - p(2): -0.0877660
95% CI for p(1) - p(2): (-0.114676, -0.0608561)
Test for p(1) - p(2) = 0 (vs not = 0): Z = -6.37 P-Value = 0.000

Teststatistic = -6.37

P-value = 0.000

%P-value < alpha

Reject H0 at 5% level of significance.

Conclusion : There is sufficient evidence to say that population proporitons differs.

95% confidence interval for p1-p2 is (-0.11, -0.06)

yes no total obese 22 1179 1201 not obese 22 1409 1431 total 44 2588

2632

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