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ou will see a student survey with 6 questions. This is a fictitious survey that I see y each of the 46,000 fictitious students at StatCrunch U. elow the survey you can set the sample size. Set this to 100 and click Genera oreadsheet will appear with the survey results for your random sample of 10 catCrunchU students. ote: Your sample is a random sample; therefore, your results will differ some ther students' results. ustructions for the lab assignment: How many females are in your sample? How many males? What proportio sample is female? What proportion of your sample is male? (StatCrunch st Tables, Frequency) Is there an equal proportion of men and women at StatCrunchU? а) Show that the conditions are met for the use of a normal model for test (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis). b) Use StatCrunch to test the claim that the proportion of females at S equal to the proportion of men. Paste the StatCrunch printout below. (§ steps: Stat, Proportion Stats, One Sample, With Data. To copy click on C c) Write a conclusion to your hypothesis test referring to females at StatCr d) Explain what the P-value means as a probability that refers to random s 100 StatCrunchU students. What are the proportions of females and males at StatCrunchU? a) Show that the conditions are met for the use of a normal model for a co interval (count of successes and failures are greater than 10).

ou will see a student survey with 6 questions. This is a fictitious survey that I see y each of the 46,000 fictitious students at StatCrunch U. elow the survey you can set the sample size. Set this to 100 and click Genera oreadsheet will appear with the survey results for your random sample of 10 catCrunchU students. ote: Your sample is a random sample; therefore, your results will differ some ther students' results. ustructions for the lab assignment: How many females are in your sample? How many males? What proportio sample is female? What proportion of your sample is male? (StatCrunch st Tables, Frequency) Is there an equal proportion of men and women at StatCrunchU? а) Show that the conditions are met for the use of a normal model for test (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis). b) Use StatCrunch to test the claim that the proportion of females at S equal to the proportion of men. Paste the StatCrunch printout below. (§ steps: Stat, Proportion Stats, One Sample, With Data. To copy click on C c) Write a conclusion to your hypothesis test referring to females at StatCr d) Explain what the P-value means as a probability that refers to random s 100 StatCrunchU students. What are the proportions of females and males at StatCrunchU? a) Show that the conditions are met for the use of a normal model for a co interval (count of successes and failures are greater than 10).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Unit 8 Lab** For the Unit 8 lab, you will use a random sample of 100 students from a fictitious university called StatCrunch U, with a virtual population of 46,000 students. **Instructions for accessing your data:** To access StatCrunchU, log into StatCrunch and click on **Data Collectors**. You will see a student survey with 6 questions, which is a fictional survey answered by each of the 46,000 fictitious students at StatCrunch U. Below the survey, set the sample size to 100 and click **Generate Sample**. A spreadsheet will appear with the survey results for your random sample of 100 StatCrunchU students. **Note:** Your sample is a random sample; therefore, your results will differ somewhat from other students’ results. **Instructions for the lab assignment:** 1. **How many females are in your sample? How many males?** - What proportion of your sample is female? - What proportion of your sample is male? - *(StatCrunch steps: Stat, Tables, Frequency)* 2. **Is there an equal proportion of men and women at StatCrunchU?** - a) Show that the conditions are met for using a normal model for a hypothesis test \((np \geq 10 \text{ and } n(1-p) \geq 10\), where \(p\) is from the null hypothesis). - b) Use StatCrunch to test the claim that the proportion of females at StatCrunchU is equal to the proportion of men. Paste the StatCrunch printout below. *(StatCrunch steps: Stat, Proportion Stats, One Sample, With Data. To copy click on Options.)* - c) Write a conclusion to your hypothesis test referring to females at StatCrunchU. - d) Explain what the P-value means as a probability that refers to random samples of 100 StatCrunchU students. 3. **What are the proportions of females and males at StatCrunchU?** - a) Show that the conditions are met for using a normal model for a confidence interval (count of successes and failures are greater than 10). - b) Determine a range of plausible values for this proportion by using StatCrunch to find a 95% confidence interval. Paste the StatCrunch printout below. *(StatCrunch steps: Stat, Proportion Stats, One Sample, With
Transcribed Image Text:**Unit 8 Lab** For the Unit 8 lab, you will use a random sample of 100 students from a fictitious university called StatCrunch U, with a virtual population of 46,000 students. **Instructions for accessing your data:** To access StatCrunchU, log into StatCrunch and click on **Data Collectors**. You will see a student survey with 6 questions, which is a fictional survey answered by each of the 46,000 fictitious students at StatCrunch U. Below the survey, set the sample size to 100 and click **Generate Sample**. A spreadsheet will appear with the survey results for your random sample of 100 StatCrunchU students. **Note:** Your sample is a random sample; therefore, your results will differ somewhat from other students’ results. **Instructions for the lab assignment:** 1. **How many females are in your sample? How many males?** - What proportion of your sample is female? - What proportion of your sample is male? - *(StatCrunch steps: Stat, Tables, Frequency)* 2. **Is there an equal proportion of men and women at StatCrunchU?** - a) Show that the conditions are met for using a normal model for a hypothesis test \((np \geq 10 \text{ and } n(1-p) \geq 10\), where \(p\) is from the null hypothesis). - b) Use StatCrunch to test the claim that the proportion of females at StatCrunchU is equal to the proportion of men. Paste the StatCrunch printout below. *(StatCrunch steps: Stat, Proportion Stats, One Sample, With Data. To copy click on Options.)* - c) Write a conclusion to your hypothesis test referring to females at StatCrunchU. - d) Explain what the P-value means as a probability that refers to random samples of 100 StatCrunchU students. 3. **What are the proportions of females and males at StatCrunchU?** - a) Show that the conditions are met for using a normal model for a confidence interval (count of successes and failures are greater than 10). - b) Determine a range of plausible values for this proportion by using StatCrunch to find a 95% confidence interval. Paste the StatCrunch printout below. *(StatCrunch steps: Stat, Proportion Stats, One Sample, With
# StatCrunch U: Survey Results ## One Sample Proportion Confidence Interval - **Outcomes in**: Gender - **Success**: Female - **p**: Proportion of successes - **Method**: Standard-Wald ### 95% Confidence Interval Results: | Variable | Count | Total | Sample Prop. | Std. Err. | L. Limit | U. Limit | |----------|-------|-------|--------------|------------|-------------|-------------| | Gender | 55 | 100 | 0.55 | 0.049749372| 0.45249302 | 0.64750698 | ## Frequency Table Results for Gender - **Count**: 100 | Gender | Frequency | Relative Frequency | |--------|-----------|--------------------| | Female | 55 | 0.55 | | Male | 45 | 0.45 | ## One Sample Proportion Hypothesis Test - **Outcomes in**: Gender - **Success**: Female - **p**: Proportion of successes - **H₀**: p = 0.5 - **Hₐ**: p ≠ 0.5 ### Hypothesis Test Results: | Variable | Count | Total | Sample Prop. | Std. Err. | Z-Stat | P-value | |----------|-------|-------|--------------|-----------|--------|---------| | Gender | 55 | 100 | 0.55 | 0.05 | 1 | 0.3173 | ### Explanation The survey results display several statistical analyses related to gender proportions: 1. **Confidence Interval**: The 95% confidence interval for the proportion of females is calculated using the Standard-Wald method. It suggests that the true proportion of females is likely between 45.25% and 64.75%. 2. **Frequency Table**: This table showcases the distribution of gender within a sample of 100 individuals, showing a relative frequency of 55% females and 45% males. 3. **Hypothesis Test**: A hypothesis test was performed to determine if the proportion of females is different from 0.5. The results, with a Z-statistic of 1 and a P-value of 0.3173, indicate that there is no statistically
Transcribed Image Text:# StatCrunch U: Survey Results ## One Sample Proportion Confidence Interval - **Outcomes in**: Gender - **Success**: Female - **p**: Proportion of successes - **Method**: Standard-Wald ### 95% Confidence Interval Results: | Variable | Count | Total | Sample Prop. | Std. Err. | L. Limit | U. Limit | |----------|-------|-------|--------------|------------|-------------|-------------| | Gender | 55 | 100 | 0.55 | 0.049749372| 0.45249302 | 0.64750698 | ## Frequency Table Results for Gender - **Count**: 100 | Gender | Frequency | Relative Frequency | |--------|-----------|--------------------| | Female | 55 | 0.55 | | Male | 45 | 0.45 | ## One Sample Proportion Hypothesis Test - **Outcomes in**: Gender - **Success**: Female - **p**: Proportion of successes - **H₀**: p = 0.5 - **Hₐ**: p ≠ 0.5 ### Hypothesis Test Results: | Variable | Count | Total | Sample Prop. | Std. Err. | Z-Stat | P-value | |----------|-------|-------|--------------|-----------|--------|---------| | Gender | 55 | 100 | 0.55 | 0.05 | 1 | 0.3173 | ### Explanation The survey results display several statistical analyses related to gender proportions: 1. **Confidence Interval**: The 95% confidence interval for the proportion of females is calculated using the Standard-Wald method. It suggests that the true proportion of females is likely between 45.25% and 64.75%. 2. **Frequency Table**: This table showcases the distribution of gender within a sample of 100 individuals, showing a relative frequency of 55% females and 45% males. 3. **Hypothesis Test**: A hypothesis test was performed to determine if the proportion of females is different from 0.5. The results, with a Z-statistic of 1 and a P-value of 0.3173, indicate that there is no statistically
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4) Does your confidence interval support your hypothesis test? Explain. 

 

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