Unit 8 Lab For the Unit 8 lab you will use a random sample of 100 students from a StatCrunchU. StatCrunchU is a fictitious 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. This is a fictitious survey that was answered by each of the 46,000 fictitious students at StatCrunch U. Below the survey you can set the sample size. Set this 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? Show that the conditions are met for the use of a normal model for a hypothesis test (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis). a) 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.) b) 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 the use of 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 Data.) c) Interpret your interval referring to females at StatCrunchU. d) Explain what is meant by “95% confident." 4) Does your confidence interval support your hypothesis test? Explain.
Unit 8 Lab For the Unit 8 lab you will use a random sample of 100 students from a StatCrunchU. StatCrunchU is a fictitious 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. This is a fictitious survey that was answered by each of the 46,000 fictitious students at StatCrunch U. Below the survey you can set the sample size. Set this 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? Show that the conditions are met for the use of a normal model for a hypothesis test (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis). a) 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.) b) 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 the use of 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 Data.) c) Interpret your interval referring to females at StatCrunchU. d) Explain what is meant by “95% confident." 4) Does your confidence interval support your hypothesis test? Explain.
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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There are four questions on this prompt. Would you please answer them, for I am baffled. Thank you
Transcribed Image Text:## Survey Results Analysis: StatCrunch U
### One Sample Proportion Confidence Interval
**Outcomes in:** Gender
**Success:** Female
**p:** Proportion of successes
**Method:** Standard-Wald
#### 95% Confidence Interval Results:
- **Variable:** Gender
- **Count:** 55
- **Total:** 100
- **Sample Prop.:** 0.55
- **Std. Err.:** 0.049749372
- **L. Limit:** 0.45249302
- **U. Limit:** 0.64750698
### Frequency Table Results for Gender
- **Count:** 100
- **Gender:**
- **Female:**
- **Frequency:** 55
- **Relative Frequency:** 0.55
- **Male:**
- **Frequency:** 45
- **Relative Frequency:** 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:** Gender
- **Count:** 55
- **Total:** 100
- **Sample Prop.:** 0.55
- **Std. Err.:** 0.05
- **Z-Stat:** 1
- **P-value:** 0.3173
---
This analysis provides an overview of the gender distribution in a sample of 100 individuals, focusing on the proportion of females. The confidence interval and hypothesis test results help determine if the observed proportion is significantly different from a hypothesized value.
Transcribed Image Text:**Unit 8 Lab**
For the Unit 8 lab, you will use a random sample of 100 students from a fictitious virtual population of 46,000 students at StatCrunch U.
**Instructions for accessing your data:**
- To access StatCrunch U, log into StatCrunch and click on Data Collectors.
You will see a student survey with 6 questions. This is a fictitious survey answered by the 46,000 fictitious students at StatCrunch U.
Below the survey, you can set the sample size. Set this to 100 and click "Generate Sample." A spreadsheet will appear with the survey results for your random sample of 100 StatCrunch U students.
**Note:** Your sample is a random sample; therefore, your results will differ somewhat from other students’ results.
**Instructions for the lab assignment:**
1. **Count Men and Women:**
- 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. **Proportion Hypothesis Test:**
- Is there an equal proportion of men and women at StatCrunch U?
a) Show that the conditions are met for using a normal model for a hypothesis test (np ≥ 10 and n(1 - p) ≥ 10, where p is from the null hypothesis).
b) Use StatCrunch to test the claim that the proportion of females is equal to the proportion of men. Paste the output.
**StatCrunch steps:** Stat, Proportion Stats, One Sample, With Data.
c) Write a conclusion based on your hypothesis test.
d) Explain the meaning of the P-value in this context (random samples of 100 StatCrunch U students).
3. **Confidence Interval:**
- What are the proportions of females and males at StatCrunch U?
a) Show the conditions are met for using a normal model (count of successes and failures are greater than 10).
b) Find a 95% confidence interval using StatCrunch. Paste the results.
**StatCrunch steps:** Stat, Proportion Stats, One Sample, With Data.
c) Interpret the interval regarding females.
d) Explain what is meant by “95% confident.”
4. **Supporting Hypothesis Test:**
- Does your confidence interval support your hypothesis test? Explain.
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