Extra Credit Sampling Distribution

docx

School

Louisiana State University *

*We aren’t endorsed by this school

Course

2201

Subject

Sociology

Date

Jan 9, 2024

Type

docx

Pages

2

Uploaded by CoachAntelopePerson1868

Report
Julia Hebert Dr. Rackin SOCL 2201 Extra Credit Distribution 18 September 2023 Let’s say I asked all 55 students in the LSU sociology graduate program if they loved statistics. I recorded their answers on the handout you should download below. I want you to take 30 random samples of size 10 (n=10) and compute the proportion who said they loved statistics (the happy green faces indicate loving statistics) and make a dotplot of those 30 sample proportions, take a picture of the dotplot (post it here), and answer the following questions. 1. What notation do we use for the proportion of all LSU sociology graduate students who love statistics? In other words, what is the parameter of interest in this data? What notation do we use for the proportion of LSU sociology graduate students who love statistics in your samples? The correct notation is p and is used for the proportion of all LSU graduate students who love statistics. The parameter of interest are LSU graduate students who love statistics. The correct notation used for the proportion of LSU sociology graduate students who love statistics in my samples is . 2. What does each dot on the dotplot represent? Of all the 55 LSU graduate Sociology students, each dot (30 dots total), on the dotplot represents the sample proportions of LSU graduate Sociology students who indicated that they love statistics. 3. Discuss the shape, center, and spread of your dotplot. Shape: Bell-shaped symmetric Center: 0.6 Spread: 0.6
4. How much do your sample proportions vary? The variance is -1.003 The standard deviation is -1.001 5. What is the true population proportion of LSU sociology graduate students who love statistics (hint: check out the data and calculate what proportion of all of the 55 LSU sociology graduate students said they loved statistics). Is your distribution centered around the true population proportion? If we didn’t know what the true population proportion was, could we estimate it using the distribution you created? Why or why not? The true population proportion of LSU sociology graduate students who love statistics is 0.4 The distribution is not centered around the true population proportion of 0.4, my dotplot is centered around 0.6. You could not accurately estimate the 0.4 true population parameter, even if you generate more samples. 6. If you only had your dotplot, could you give a range of plausible values of the true proportion of LSU graduate students who love statistics? What is that range? Does that range include the true proportion? The 0.4 true proportion is still well within the 95% confidence interval. You could give a range of plausible values of the true proportion of LSU graduate students who love statistics. The range does include the true proportion. Range: 0.6
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help