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Answer :
A 94% confidence interval for a difference in proportions can be calculated using the appropriate formula and statistical methods.
To determine a 94% confidence interval for a difference in proportions, we use the formula:
[P1 - P2 ± Z × √{(P1(1 - P1))/n1 + (P2(1 - P2))/n2}]
where:
- P1 and P2 are the sample proportions for the two groups,
- n1 and n2 are the sample sizes for the two groups, and
- Z is the Z-score corresponding to the desired confidence level (in this case, 94%).
We then calculate the margin of error and add/subtract it from the difference in sample proportions to obtain the lower and upper bounds of the confidence interval.
This interval provides a range of values within which we are 94% confident the true difference in proportions lies. It helps assess the significance of differences between proportions in different groups or populations, providing valuable insights for decision-making and hypothesis testing in various fields such as medicine, sociology, and business.
A) Determine a 94% confidence interval for a difference in proportions.
B) Calculate a 94% confidence interval for a difference in proportions.
C) Establish a 94% confidence interval for a difference in proportions.
D) Compute a 94% confidence interval for a difference in proportions.
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