Homework answers / question archive / BE02255 Applied Statistics for Business SEMESTER 1, 2022 Assessment 2 (Assignment 1) Marks 20 % Due in Week 9 Part A A community health organization operating in Western Suburbs of Melbourne has undertaken a media campaign highlighting health risks associated with smoking

BE02255 Applied Statistics for Business SEMESTER 1, 2022 Assessment 2 (Assignment 1) Marks 20 % Due in Week 9 Part A A community health organization operating in Western Suburbs of Melbourne has undertaken a media campaign highlighting health risks associated with smoking

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BE02255 Applied Statistics for Business

SEMESTER 1, 2022

Assessment 2 (Assignment 1)

Marks 20 %

Due in Week 9

Part A

A community health organization operating in Western Suburbs of Melbourne has undertaken a media campaign highlighting health risks associated with smoking. They wish to assess whether their current campaign has affected people's smoking habits. To this end, they have conducted a simple survey which consists of 250 randomly selected respondents who were over the age of 18. Each respondent was interviewed before and after being exposed to the campaign. The hypothetical data in the file BE02255 Assessment 2(Group Report 1) Data 2A.sav contains the 250 observations from a hypothetical random sample of respondents. Randomize 100 observations for your group. The sample is drawn from a population of 1,200 males and 1300 females. The data file contains the following variables:

GENDER                       1=Mate, 2=Female

JOB                               1=Full-time employment, 0=Part-time employment

AGE                               Age in years

INCOME                       Fortnightly Income (AUD)

BEFORE                         Weekly spending on smoking before the campaign (AUD)

AFTER                            Weekly spending on smoking after the campaign (AUD)

AREA of LIVING       -    1=North, 2 = South, 3 = West, and 4 = East (of the City)  

MEDIA CAMPAIGN -     1=TV, 2 = Radio, 3 = Newspaper, and 4 = Internet

The respondents were also asked for their responses to the statement - "The campaign has influenced my smoking habit". The responses for the variable ATTITUDE are as follows:

1= strongly disagree;

 2 = disagree;

3= no view either way;

4= agree;

5= strongly agree.

Randomization of 100 observations:

In order to choose 100 observations from the data file, follow the instructions below:

• Go to Data > Select Cases > Choose Random sample of cases > Click on Sample > Choose Exactly 100 (type) cases from the first )0(X (type in the random number I assigned to you) cases > Continue > Delete unselected cases > Click OK

• A video on How to Randomize Data is uploaded in Learn. Please watch the video. And you need to find out the random number assigned to you at the end of this document. Use the same random number for Part B.

• Note: For the Practical 1 students who have already randomized the samples in the lab  with me — You don't have to redo. You have already pot a random sample. 

• The process will be demonstrated during the Week 5 Practical.

• Each group (2 persons in one group) will generate a different set of data using randomization. Once you have generated the sample data, send the data to your partner and your partner DO NOT need to generate a new set of data. One group only needs one set of data.

Use SPSS to perform the following tasks. Report your results in an MS Word document.

1. Use Descriptive statistics to summarize the data and develop a 95% confidence interval estimate of the mean fortnightly income of the population. (You will need to use the finite population correction factor).

2. Find the means and standard deviations of the fortnightly income of (a) Male and (b) Female respondents in the sample regardless of the employment status. Develop 95 percent confidence intervals on the mean fortnightly income of the males and females in the population.

3. Create a new variable called POSITIVE where POSITIVE = 1 if the response to Attitude was 4 or 5, OTHERWISE = 0. Attach value labels and variable labels to POSITIVE.

a. Find the proportion of Male respondents in the sample that had a positive response to the attitudinal (positive) question and

b. Construct a 95 percent confidence interval on the proportion of Male customers in the population with a positive response. (Remember that, given the way POSITIVE is coded, the mean is the same as the proportion that had a positive response to Attitude. You will also need to use the finite population correction factor).

 

 

 

4. Check and validate whether the weekly spending data are distributed normally. If the weekly spending data is not normally distributed:

a. Perform a Wilcoxon Rank Sum test of the null hypothesis that the distributions of spending before being exposed to the advertising campaign are the same for Full-time workers and Part-time workers in the population of respondents. Perform the hypothesis test at 5% level of significance.

b. Perform a Wilcoxon Signed Rank Test of the null hypothesis that spending before the advertising campaign exposure is the same as after for the population of customers.

5. Re-code Attitude into a new variable called ATTITUDE _1 with Agree and Strongly Agree = 1 (Positive). No View Either Way = 2 (Neutral) and Disagree and Strongly Disagree = 3 (Negative).

a. Perform a chi-square goodness of fit test of the null hypothesis that positive, neutral and negative responses are equally likely amongst the population.

b. Use a chi-square test of the null hypothesis that Attitudes (positive, neutral and negative responses) are independent of the method of advertising campaign that the respondents in the population are exposed to.

Part B

An experiment was conducted in a supermarket to observe the relationship between the display locations allocated to different brands of laundry liquids and their weekly sales. Three different displays are considered: Lower, Middle; and Upper, and four different brands of laundry liquids are considered: Brand A, Brand B, Brand C and Brand D. The file BE02255 Assessment 2(Group Report 1) Data 2B.sav contains 200 observations from a hypothetical random sample of one-week sales of the product assigned to each display location. Download the data file and randomize 100 observations as your sample (please follow the same steps and use the same random number assigned to you as in Part A). The variables are as follows:

SALES   One-week average sales (AUD) of the products

DISPLAY           Product display location: 1 = Lower, 2 = Middle and 3 = Upper

PRODUCT        1= Brand A, 2 = Brand B, 3 = Brand C and 4 = Brand D

PROMOTION   1= Leaflet Distributions, 2 = Posters, 3 = Newspapers, and 4 = Brochures

 

 

 

 

6. Conducting One-way ANOVA;

a. You are required to conduct a One-way ANOVA to test the null hypothesis that means sales are the same in all three-display locations.

b. Based on your results, find Tukey confidence intervals for the mean difference between pair of display locations. Is there any statistically significant mean difference between pair of display locations? (Report on these only where the differences are statistically significant.)

7. Conducting Two-way ANOVA

a. You are required to conduct a Two-way ANOVA to test the null hypothesis that means sales are the same for all products and promotion methods. Allow for the possibility of an interaction effect between the products and the promotion.

b. Based on your results produce Tukey confidence intervals for row and column differences. (Report on these only where the differences are statistically significant.)

8. Use a Kruskall-Wallis test of the null hypothesis that the distributions of sales are the same for all three-display locations.

9. Is the sales data sufficiently non-normal to warrant the non-parametric test instead of one-way ANOVA? (Hint: In your answer to this question, you are expected to revisit the result obtained from Question 6).

 

Presentation: General guidelines

1. Your assignment must be presented on Microsoft Word. Export all SPSS tables to this MS Word document and work on them.

2. You are required to write the report to suit the academic standards.

3. Attached an assignment declaration with your names and ID numbers clearly written.

4. All tables and figures should contain a title that clearly explains the content.

5. SPSS tables, once exported or copied to Word file, should be formatted to suite the presentation of the report.

6. Workings must be shown clearly, including formulae you use for calculation.

7. Interpretations should be precise, and you are required to use the plain language.

8. Assignments without interpretations will attract low marks.

9. You are required to submit the electronic version to the VUCollaborate Assessment Dropbox.

10. Email a softcopy of your submission to your lecturer at moyty@sunway.edu.my for grading

 

[Due date: Week 9 • Submit by Friday 29-4-2022 4pm KL time to VUC Dropbox and email a copy to moyty@sunway.edu.my • This is a group assignment. 2 persons in one group.