Explanation Calculation: n 1 = 119 , n 2 = 143 , x 1 = 67 , and x 2 = 106 . The assumption for calculating the confidence interval: The response variable should be categorical data. The samples should be collected independently. The sample sizes should be large. That is, in each group, the number of success points and the number of failure points should be at least 10. The assumptions in this particular problem are as follows: From the given samples, it can be observed that the response variable is categorical, that is, children in the community with fluoridated water who have decayed teeth and children in the community with fluoridated water. The two samples are collected independently. The sample sizes are large enough. From the proportion, it is clear that the number of success points and the number of failure points are more than 10 for both the groups. The number of success points and the number of failure points for the first sample is obtained as given below: n 1 p ^ 1 = 119 × ( 67 119 ) = 67 ≥ 10 n 1 q ^ 1 = 119 × ( 1 − 67 119 ) = 52 ≥ 10 The number of success points and the number of failure points for the second sample is obtained as given below: n 2 p ^ 2 = 143 × ( 106

Introduction to Statistics and Data Analysis

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Chapter 11, Problem 75CR

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Find and interpret 90% confidence interval for the difference in the proportion of all children in the community with fluoridated water who have decayed teeth and the analogous proportion for children in the community with fluoridated water.

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Chapter 11 Solutions

Introduction to Statistics and Data Analysis

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Find and interpret 90% confidence interval for the difference in the proportion of all children in the community with fluoridated water who have decayed teeth and the analogous proportion for children in the community with fluoridated water.

Solution Summary: The author analyzes the 90% confidence interval for the difference in the proportion of children with decayed teeth and the analogous proportion for children in fluoridated water.

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Find and interpret 90% confidence interval for the difference in the proportion of all children in the community with fluoridated water who have decayed teeth and the analogous proportion for children in the community with fluoridated water.

Chapter 11 Solutions