Asked by Kimberly Zayas-Maciel on Jun 10, 2024
Verified
If a 90% confidence interval estimate for the difference between two population proportions is to be constructed, then the confidence coefficient would be:
A) .10
B) .90
C) .05
D) .45
E) .35
Confidence Interval
A statistical interval estimate, used to indicate the reliability of an estimate.
Population Proportions
Measures that represent the fraction of the population that possesses a particular attribute or characteristic.
Confidence Coefficient
Represents the degree of certainty or confidence that a specified confidence interval contains the true value of an unknown population parameter.
- Evaluate the means and proportions of populations through the application of confidence intervals.
Verified Answer
For a 90% confidence interval, the alpha level is 1 - 0.90 = 0.10. This means that we are willing to accept a 10% chance of making a type I error (rejecting the null hypothesis when it is true) in order to have a 90% chance of capturing the true difference between the two population proportions.
Therefore, the confidence coefficient is 0.90 or 90%. The correct choice is B.
Learning Objectives
- Evaluate the means and proportions of populations through the application of confidence intervals.
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