Select one answer Every simulation in this module is based on an assumption abou

Question

Select one answer Every simulation in this module is based on an assumption about the difference between two population proportions. The population proportions affect the mean and the standard error of the differences in sample proportions. The sample size also affects the standard error. io points The distribution of differences between sample proportions shown below has mean o.35, and a standard error of about o.10 Frequencies of p-P2 Values Which of the following did we use to generate this sampling distribution? A. O Population proportions of o.85 and o.65 with samples of size 35. B. OPopulation proportions of o.85 and o.50 with samples of size 35. C. Population proportions of o.85 and 0.50 with samples of size 20. D. O Population proportions of o.85 and o.65 with sample sizes of 20

Explanation / Answer

a)
since mean difference is 0.35
hence 0.85 and 0.5 are correct fo proprtion

sqrt(0.85 * 0.15/n + 0.5*0.5/n) = 0.10
solving n = 37.75
hence

B) is correct

10)
note that mean difference is -0.15
hence
D) is correct

11)
Test and CI for Two Proportions

Sample   X    N Sample p
1       40 244 0.163934
2       25 160 0.156250

Difference = p (1) - p (2)
Estimate for difference: 0.00768443
95% lower bound for difference: -0.0535451
Test for difference = 0 (vs > 0): Z = 0.21 P-Value = 0.418

a) is correct

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