A study of teenage suicide included a sample of 123 girls and 96 boys between ages of 12 and 16 years selected scientifically from admissions records to a private psychiatric hospital.  Suicide attempts were reported by 60 of the girls and 18 of the boys.  We assume that the girls constitute a simple random sample from a population of similar girls and likewise for the boys. What is the sample proportion of boys that attempted suicide (rounded off to four decimals)? What is the sample proportion of girls that attempted suicide (rounded off to four decimals)? Calculate the difference in proportion between the girls and the boys (rounded off to four decimals). Calculate the appropriate critical value/table value for a 99% confidence interval (rounded off to three decimals). Construct a 99% confidence interval for the difference between the two population proportions (rounded off to three decimals)? Considering your answer in Question 8, is there a statistically significant difference between the population proportion of boys and girls that attempt suicide? Explain your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A study of teenage suicide included a sample of 123 girls and 96 boys between ages of 12 and 16 years selected scientifically from admissions records to a private psychiatric hospital.  Suicide attempts were reported by 60 of the girls and 18 of the boys.  We assume that the girls constitute a simple random sample from a population of similar girls and likewise for the boys.

What is the sample proportion of boys that attempted suicide (rounded off to four decimals)?

What is the sample proportion of girls that attempted suicide (rounded off to four decimals)?

Calculate the difference in proportion between the girls and the boys (rounded off to four decimals).

Calculate the appropriate critical value/table value for a 99% confidence interval (rounded off to three decimals).

Construct a 99% confidence interval for the difference between the two population proportions (rounded off to three decimals)?

Considering your answer in Question 8, is there a statistically significant difference between the population proportion of boys and girls that attempt suicide? Explain your answer.

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