2. Who supports gun control laws more: females or males? Data were collected from a sample of 980 people. We see that 379 of the 460 females in the sample support gun control laws, while 318 of the 520 males in the sample support gun control laws. We will investigate the difference in proportions of females and males who support gun control laws. (This dataset is preloaded in Statkey.) a) What parameter are we trying to estimate? Give correct notation and a brief written description. b) What is the best point estimate for the difference in the proportions of gun control law supporters? Use correct notation and include the value. c) Find a 99% bootstrap confidence interval using the Percentile Method Include a screen shot of your StatKey output. 99% CI: d) Find a 95% bootstrap confidence interval using the Standard Error Method (show calculations based on bootstrap estimate of standard error as shown in graph from previous step): 95% CI e) Interpret the 95% confidence interval. Be sure to include both parts in your interpretation since we are comparing two parameters. (See lecture notes for examples of two-part interpretations.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Educational Transcription: Gun Control Law Support by Gender**

**Objective:**  
To compare the level of support for gun control laws between females and males using a sample of 980 individuals.

**Data Summary:**
- Total sample size: 980 people
- Female supporters: 379 out of 460
- Male supporters: 318 out of 520

**Analysis Steps:**

**a) Parameter Estimation:**  
Determine the parameter for the difference in support proportions between females and males. Use proper statistical notation and provide a concise description of this parameter.

**b) Point Estimate Calculation:**  
Identify the best point estimate for the difference in proportions of support between genders. Present this using the correct statistical notation and include the calculated value.

**c) Bootstrap Confidence Interval (99%):**  
Calculate a 99% confidence interval using the Percentile Method. Note that a screenshot of the output from StatKey is required for this step.  
- **99% CI: [______, ______]**

**d) Bootstrap Confidence Interval (95%):**  
Calculate a 95% confidence interval using the Standard Error Method. Demonstrate calculations based on the bootstrap estimate of the standard error as shown in the provided graph.  
- **95% CI: [______, ______]**

**e) Interpretation of the 95% Confidence Interval:**  
Provide a two-part interpretation that encompasses the comparison of two parameters, ensuring clarity and statistical accuracy. Refer to lecture notes for examples of these interpretations.

This examination of support for gun control laws categorizes data based on gender, providing insight into demographic differences in policy support.
Transcribed Image Text:**Educational Transcription: Gun Control Law Support by Gender** **Objective:** To compare the level of support for gun control laws between females and males using a sample of 980 individuals. **Data Summary:** - Total sample size: 980 people - Female supporters: 379 out of 460 - Male supporters: 318 out of 520 **Analysis Steps:** **a) Parameter Estimation:** Determine the parameter for the difference in support proportions between females and males. Use proper statistical notation and provide a concise description of this parameter. **b) Point Estimate Calculation:** Identify the best point estimate for the difference in proportions of support between genders. Present this using the correct statistical notation and include the calculated value. **c) Bootstrap Confidence Interval (99%):** Calculate a 99% confidence interval using the Percentile Method. Note that a screenshot of the output from StatKey is required for this step. - **99% CI: [______, ______]** **d) Bootstrap Confidence Interval (95%):** Calculate a 95% confidence interval using the Standard Error Method. Demonstrate calculations based on the bootstrap estimate of the standard error as shown in the provided graph. - **95% CI: [______, ______]** **e) Interpretation of the 95% Confidence Interval:** Provide a two-part interpretation that encompasses the comparison of two parameters, ensuring clarity and statistical accuracy. Refer to lecture notes for examples of these interpretations. This examination of support for gun control laws categorizes data based on gender, providing insight into demographic differences in policy support.
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