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Call: 1m (formula Brth15to17 PovPct, data poverty) Residuals: Min 1Q Median -11.093 -7.252 1.759 Coefficients: 3Q 6.002 (Intercept) 13.2365 PovPct 0.8216 Max 10.668 Estimate Std. Error t value Pr (> |t|) 12.3744 1.070 0.316 0.8433 0.974 0.358 Residual standard error: 8.422 on 8 degrees of freedom Multiple R-squared: 0.1061, Adjusted R-squared: 0.005676 F-statistic: 0.9492 on 1 and 8 DF, p-value: 0.3585 a) From these data, what is the raw effect size (including units) describing how teen pregnancy rate changes with poverty level across these states? b) What is the 95% confidence interval for this estimate? c) Assuming all assumptions were met and considering only the above information, what should the NGO conclude from their analysis? Explain your answer. d) Is power a potential concern? Explain why or why not.

Call: 1m (formula Brth15to17 PovPct, data poverty) Residuals: Min 1Q Median -11.093 -7.252 1.759 Coefficients: 3Q 6.002 (Intercept) 13.2365 PovPct 0.8216 Max 10.668 Estimate Std. Error t value Pr (> |t|) 12.3744 1.070 0.316 0.8433 0.974 0.358 Residual standard error: 8.422 on 8 degrees of freedom Multiple R-squared: 0.1061, Adjusted R-squared: 0.005676 F-statistic: 0.9492 on 1 and 8 DF, p-value: 0.3585 a) From these data, what is the raw effect size (including units) describing how teen pregnancy rate changes with poverty level across these states? b) What is the 95% confidence interval for this estimate? c) Assuming all assumptions were met and considering only the above information, what should the NGO conclude from their analysis? Explain your answer. d) Is power a potential concern? Explain why or why not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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2. Data from across counties with a US state of Georgia indicated that teen pregnancy rates tended to increase with increasing poverty level. In particular, the number of births per 1000 females aged 15-17 years old increased by 3 for every unit increase in the percentage of a county's residents living in households with incomes below the federally defined poverty level. A federal non-profit group studying teen pregnancies argued that such a rate (or higher) would be of concern if it existed more broadly across states. The NGO therefore collated available data for 10 states for the same two variables (with births and poverty rates being measured at the state instead of county level). Results of their analysis were as follows (points are individual states): Brth 15to17 25 30 20 10 = 12 Coefficients: PovPct 14 PovPct 16 Call: 1m (formula Brth15to17 PovPct, data = poverty) 18 Residuals: Min 10 Median 3Q -11.093 -7.252 1.759 6.002 20 Max 10.668 Estimate Std. Error t value Pr (>|t|) (Intercept) 13.2365 12.3744 1.070 0.8216 0.8433 0.974 0.316 0.358 Residual standard error: 8.422 on 8 degrees of freedom Multiple R-squared: 0.1061, Adjusted R-squared: 0.005676 F-statistic: 0.9492 on 1 and 8 DF, p-value: 0.3585 a) From these data, what is the raw effect size (including units) describing how teen pregnancy rate changes with poverty level across these states? b) What is the 95% confidence interval for this estimate? c) Assuming all assumptions were met and considering only the above information, what should the NGO conclude from their analysis? Explain your answer. d) Is power a potential concern? Explain why or why not.
Transcribed Image Text:2. Data from across counties with a US state of Georgia indicated that teen pregnancy rates tended to increase with increasing poverty level. In particular, the number of births per 1000 females aged 15-17 years old increased by 3 for every unit increase in the percentage of a county's residents living in households with incomes below the federally defined poverty level. A federal non-profit group studying teen pregnancies argued that such a rate (or higher) would be of concern if it existed more broadly across states. The NGO therefore collated available data for 10 states for the same two variables (with births and poverty rates being measured at the state instead of county level). Results of their analysis were as follows (points are individual states): Brth 15to17 25 30 20 10 = 12 Coefficients: PovPct 14 PovPct 16 Call: 1m (formula Brth15to17 PovPct, data = poverty) 18 Residuals: Min 10 Median 3Q -11.093 -7.252 1.759 6.002 20 Max 10.668 Estimate Std. Error t value Pr (>|t|) (Intercept) 13.2365 12.3744 1.070 0.8216 0.8433 0.974 0.316 0.358 Residual standard error: 8.422 on 8 degrees of freedom Multiple R-squared: 0.1061, Adjusted R-squared: 0.005676 F-statistic: 0.9492 on 1 and 8 DF, p-value: 0.3585 a) From these data, what is the raw effect size (including units) describing how teen pregnancy rate changes with poverty level across these states? b) What is the 95% confidence interval for this estimate? c) Assuming all assumptions were met and considering only the above information, what should the NGO conclude from their analysis? Explain your answer. d) Is power a potential concern? Explain why or why not.
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