Week 5 Project – STAT 3001

Student Name:

Date:

Instructions: To complete this project, you will need the following materials:

· Statdisk User Manual (link found on Project resource page)

· Access to the Internet to download the Statdisk program.

· You don’t have to explain your steps unless the problem specifically says to.

This assignment is worth a total of 60 points.

Part I. Chi-Square Goodness of Fit Test (equal frequencies)

The table below lists the days of the week selected by a random sample of 1005 subjects who were asked to identify the best day of the week for family activities. Consider the claim that the days of the week have the same chance of being chosen.

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

523

20

9

19

11

41

382

Instructions

Answers

1. Use the Chi-Square Goodness-of-Fit test to see if there is a difference between the choices for best day for family activities. Use a significance level of 0.05.

Paste results here.

2. What are we trying to show here? Remember that the researcher’s claim is the alternative hypothesis.

3. What is the p-value and what does it represent in the context of this problem?

4. State your conclusion. The conclusion statement has a prescribed format: it should include a comparison of the p-value and alpha, whether you reject or don’t reject the null hypothesis, and a paraphrase of the hypothesis supported by the data.

5. Repeat the above procedure using only the weekdays Paste results here. Did you get different results? What do your results mean?

Part II. Chi-Square Goodness of Fit Test (unequal frequencies)

A personnel director states that the distribution of the reason’s personnel leave their job is : 41% limited advancement; 25% lack of recognition; 15% low salary/benefits; 10% unhappy with management; 9% bored. You randomly select 200 workers who recently left their jobs and record each worker’s reasons for doing so. The table below show the results. At the 0.01 level of significance, test the personnel director’s distribution.

Survey Results

Response

Frequency

Limited advancement

78

Lack of recognition

52

Low salary/benefits

30

Unhappy with management

25

Bored

15

Instructions

Answers

6. Complete the table as necessary.

[Hint: You will need to compute the expected frequencies based on the percentages for the 200 customers. Round to the nearest integer.]

OBSERVED

78

52

30

25

15

1.

EXPECTED

7. Use the Chi-Square Goodness-of-Fit test for Unequal frequencies to see if there is a difference between the observed frequencies and the expected frequencies. Use a significance level of 0.01.

Paste results here.

8. State the null and alternative hypotheses.

9. What conclusion would you reach, given the result of your Goodness-of-Fit test? The conclusion statement has a prescribed format: it should include a comparison of the p-value and alpha, whether you reject or don’t reject the null hypothesis, and a paraphrase of the hypothesis supported by the data.

Part III. Chi-Square Test of Independence

You work for a college’s continuing education department and want to determine whether the reasons given by workers for continuing their education are related to the job type. IN your study, you randomly collect the data shown in the contingency table. At the 0.01 level of significance, can you conclude that the reason and the type of job are dependent?

The following data was collected related to method of treatment and success/failure

Reason for continuing education

Type of worker

Professional

Personal

Professional & personal

Technical

30

36

41

Other

47

25

30

Hint: Instructions for performing this test in STATDISK can be found in the Stat Disk User’s Manual under the heading Chi Square Test of Independence (Contingency Tables).

Instructions

Answers

10. Just looking at the numbers in the table, what is your best guess about the relationship between reason for continuing education and job type? Are they independent or dependent?

11. Compute a Chi-Square Test of Independence on this data using a 0.01 level of significance. Paste your results here.

12. What is the null and alternative hypothesis for this result?

13. What is the p-value for this result? What does this represent?

14. State your conclusion related to the context of this problem. The conclusion statement has a prescribed format: it should include a comparison of the p-value and alpha, whether you reject or don’t reject the null hypothesis, and a paraphrase of the hypothesis supported by the data.

Submit your final draft of your Word file by going to Week 5, Project, and follow the directions under Week 5 Assignment 2. Please use the naming convention “WK5Assgn2+last name + first initial” as the Submission Title.