M A T 177: INTERVAL ESTIMATE PROJECT Question : What is the proportion of people

Question

MAT 177: INTERVAL ESTIMATE PROJECT

Question: What is the proportion of people in your area who use “reusable" bags when

grocery shopping instead of the usual plastic or paper bags provided by the grocery stores?

Collect a sample and use the data from the sample to estimate the proportion of all shoppers in your area who use reusable bags. Write a clear and concise report. Some decisions to make: Sample size? Sampling method? Which grocery stores? Best observation point:

from the car or standing outside the store? What days and times of day? Etc…

Report requirements: Type your name on top of the first page

a. At least two pages long, single spaced and with Arial font size 12. b. Check grammar, sentence structure and spelling. (Points will be deducted).

c. The calculator screens are same size as the ones shown and are incorporated in the text. d. Page Layout: 0.9” margins all around for calculator screens to fit properly.

NO LATE PROJECT ACCEPTED. LATE= ZERO

e. Project must be typed (Points will be deducted)

f. Minimum confidence level you may use is 85%; Maximum error estimate is 8%.

Minimum Content:

1.Explain the difference between point estimate and interval estimate and explain the advantages of one over the other.

2.What population could you reasonably approximate based upon your sample? The world? The United States?.........Explain your answer.

3. Explain and justify your choice of sample size. Describe in detail how you obtained your data. State the type of sample you obtained (see chapter 1). Data must be included.

4. Does your project satisfy the statistical requirements needed for computing interval estimates of a proportion? (see section 7.2)

5. List the possible bias or shortcomings of your sampling method.

6. Use the calculator to find the interval estimate. Express it in two different ways: interval form as indicated in the calculator screen below and in the form pˆ ± E .

7. What is the margin of error? What is the formula for finding the margin of error?

8. Write about the effect of sample size and confidence level on the width of the interval estimate. Does a larger sample make the interval wider or narrower? Does a higher confidence level make the interval wider or narrower? Use the formula for the margin of error to explain why that happens.

9. Explain the meaning of confidence level (pay attention to the definition in the text). What does it mean to say: we are 95% confident that the population proportion is in a certain interval?

10. Show three calculator screens for the proportion estimates and integrate them in your re

11. Evaluate the importance of your results and state who may be interested in them.

12) Discuss the following: If you were writing for a Master’s Thesis, and would receive a $10,000 cash payment if your proposal were accepted, what changes would you make to improve the reliability and accuracy of this project? What would you do differently in order to get a more valid result? (This discussion should not be limited to discussing the topics in Chapter 7).

13) In general (not specific to this project), when would you accept a lower confidence level? Give an example of a population you might sample and accept a lower confidence level.

When would you require a higher confidence level? Give an example of a population you might sample and require a higher confidence level.

Explanation / Answer

CHEGG WILL NOT ENTERTAIN FOR ANSWERING MULTIPLE QUESTIONS YOU POSTED.

POST ONLY THE REQUIRED ANSWERS YOU WANT OR POST THE DIFFERENT QUESTIONS DIFFERENT TIMES

ACCORDING TO THE RULES OF THE CHEGG ONLY ONE QUESTION CAN BE ANSWERED

_________________________________________________________________________

1.) Point estimate of a population is the parameter having a single value of a statistic.

Example mean of marks of 100 students of a class

Interval estimate: A range of values within which the true parameter (interval) lies with high probability.

example :mean of 100 marks which are distributed with a normal distribution lies between 95% CI

Advantages:

For interval estimation we provide a range of values with a known probability of capturing the population parameter.

This solves the problem with less time

But on the other side, the accuracy of the parameter is increased by point estimate only.

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