Asked by Kimberly Zayas-Maciel on Jun 10, 2024

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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.
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dominique villarrealJun 12, 2024
Final Answer :
B
Explanation :
The confidence coefficient represents the level of confidence in the interval estimate, and it is equal to 1 - alpha.

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.