Concept explainers
To find: The 90% confidence interval for the differences in the proportion of IM users and interpret it.
Answer to Problem 11E
The confidence interval is (0.1959, 0.3641)
Explanation of Solution
Given:
Formula used:
The formula to compute the confidence interval for difference in population proportions is:
Calculation:
The 95% confidence interval using Ti-83 plus calculator is computed as:
Thus, the confidence interval is (0.1959, 0.3641).
Interpretation:
Thus, it could be interpreted that there is 90% probability that the difference in the proportion of IM users lies between 0.1959 and 0.3641
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