For a particular study, at the 5% significance level, we were able to reject a n

Question

For a particular study, at the 5% significance level, we were able to reject a null hypothesis that two population proportions were equal using a p-value. Which of the following two-sided 95% confidence intervals on the difference between two population proportions would lead us to fail to reject the same null hypothesis?
A. -0.219, -0.170
B. 0.223, 0.451
C. -.108, 0.201
D. 0.245, 0.468
For a particular study, at the 5% significance level, we were able to reject a null hypothesis that two population proportions were equal using a p-value. Which of the following two-sided 95% confidence intervals on the difference between two population proportions would lead us to fail to reject the same null hypothesis?
A. -0.219, -0.170
B. 0.223, 0.451
C. -.108, 0.201
D. 0.245, 0.468
For a particular study, at the 5% significance level, we were able to reject a null hypothesis that two population proportions were equal using a p-value. Which of the following two-sided 95% confidence intervals on the difference between two population proportions would lead us to fail to reject the same null hypothesis?
A. -0.219, -0.170
B. 0.223, 0.451
C. -.108, 0.201
D. 0.245, 0.468 For a particular study, at the 5% significance level, we were able to reject a null hypothesis that two population proportions were equal using a p-value. Which of the following two-sided 95% confidence intervals on the difference between two population proportions would lead us to fail to reject the same null hypothesis?
A. -0.219, -0.170
B. 0.223, 0.451
C. -.108, 0.201
D. 0.245, 0.468

Explanation / Answer

[ANSWER]

C.

-.108, 0.201

Interpretations:
1) We are 95% sure that the interval [-.108, 0.201 ] contains the difference between
true population proportion P1-P2

2) Since this Cl contain a zero we can conclude at true proportion
difference is not zero  

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