Answered: One-Sample Proportions Confidence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

To test the hypothesis that the proportion of mothers with antenatal depression scores over 13(HighADEP) in the population from which your sample was drawn is different from 0.11, the researchers obtained the following output from SPSS. Notice the output is produced twice. Once with 90% confidence intervals and once with 95% confidence intervals. Based on this output which is the correct statement. Assume α=.05.

Group of answer choices: Which one?

a) The researchers would conclude that the proportion of mothers with antenatal depression scores over 13(HighADEP) in the population from which your sample was drawn is significantly less than 0.11 since the one-sided 95% confidence interval [−∞, .101] does not contain 0.11 as a plausible value for the population proportion.

b) The researchers would conclude that the proportion of mothers with antenatal depression scores over 13(HighADEP) in the population from which your sample was drawn is not significantly different from 0.11 since the one-sided 95% confidence interval [.034, ∞] contains 0.11 as a plausible value for the population proportion.

c) The researchers would conclude that we have insufficient evidence that the proportion of mothers with antenatal depression scores over 13(HighADEP) in the population from which your sample was drawn is different from 0.11 since the 95% confidence interval (.030, .112] contains 0.11 as a plausible value for the population proportion.

d) The researchers would conclude that the proportion of mothers with antenatal depression scores over 13(HighADEP) in the population from which your sample was drawn is less than 0.11, since the sample proportion 0.06 is less than 0.11.