A computed 99% confidence interval for the true difference between two populatio

Question

A computed 99% confidence interval for the true difference between two population proportions is -0.025 to +0.109. Then at 99% confidence level, a. Based on this result, we can not make a meaningful state about the difference between the two population proportions. b. We can conclude that there is a significant difference between the two population proportions. c. We can conclude that the first population proportion is more than the second population proportion. d. We can not conclude that there is a significant difference between the two population proportions.

Explanation / Answer

Z- statistic is used to calculate the difference between two sample proportions. The z-score test for two population proportions is used when you want to know whether two populations or groups differ significantly on some single characteristic.

The test statistic is a z-score (z) defined by the following equation.

z = (p1 - p2) / SE

where p1 is the proportion from sample 1, p2 is the proportion from sample 2, and SE is the standard error of the sampling distribution.

You can see that in our case we are not provided with the proportion of any sample, we have only the confidence interval difference in the population proportion.

That is of no use in determining the result

Thus We cannot make a meaningful statement about the difference between the population proportion.

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