In the past, when elementary school children in a large city were screened, 25% were found to have auditory defects. In a recent study of 200 children in the city who had been screened within the past month, 63 were found to have such defects. Do these data suggest a significant increase in the proportion of children having auditory defects? Test at a = 0.10. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? 2.123 Using your answer from the previous question, find the p-value. What is the critical value for this test? Part 2 o

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**Analysis of Auditory Defects in Elementary School Children**

In previous screenings of elementary school children in a large city, 25% were found to have auditory defects. Recently, a study of 200 children who were screened found that 63 had such defects. This analysis explores whether there is a significant increase in the proportion of children with auditory defects. The test is conducted at a significance level of \(\alpha = 0.10\). Answers should be rounded to three decimal places and any interim calculations to four decimal places.

### Statistical Analysis

1. **Test Statistic**: The calculated test statistic is **2.123**.

2. **P-value Calculation**: Using the test statistic from above, determine the p-value. (Input field provided for response).

3. **Critical Value**: Identify the critical value for this test. (Input field provided for response).

This exercise applies hypothesis testing to evaluate changes in health metrics over time. Understanding the application of statistical tests helps in decision-making and resource allocation in public health contexts.
Transcribed Image Text:**Analysis of Auditory Defects in Elementary School Children** In previous screenings of elementary school children in a large city, 25% were found to have auditory defects. Recently, a study of 200 children who were screened found that 63 had such defects. This analysis explores whether there is a significant increase in the proportion of children with auditory defects. The test is conducted at a significance level of \(\alpha = 0.10\). Answers should be rounded to three decimal places and any interim calculations to four decimal places. ### Statistical Analysis 1. **Test Statistic**: The calculated test statistic is **2.123**. 2. **P-value Calculation**: Using the test statistic from above, determine the p-value. (Input field provided for response). 3. **Critical Value**: Identify the critical value for this test. (Input field provided for response). This exercise applies hypothesis testing to evaluate changes in health metrics over time. Understanding the application of statistical tests helps in decision-making and resource allocation in public health contexts.
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