Question
Compute Using: Data provided in the problem to the left and the Chi-Square Calculator to the left. A sample of 500 shoppers was selected in
Compute Using: Data provided in the problem to the left and the Chi-Square Calculator to the left.
A sample of 500 shoppers was selected in a large metropolitan area to collect information concerning consumer behavior. Among the questions asked was, "Do you enjoy shopping for clothing?" The results are summarized in the table to the left.
1. Is there evidence of a significant difference between the proportion of males and females who
enjoy shopping for clothing at the 0.01 level of significance?
a. State the decision rule
b. Report the test statistic
c. Reporting your findings/results of your data analysis.
2. Determine the p-value and interpret its meaning.
3. If 206 males enjoyed shopping for clothing and 34 did not, is there evidence of a significant difference between the proportion of males and females who enjoy shopping for clothing at the 0.01 level of significance?
4. If 206 males enjoyed shopping for clothing and 34 did not, determine the p-value and interpret its meaning.
5. If you were an organizational consultant for the business who conducted this survey, how would you use these data in an organizational diagnosis? What additional information would you want to know to complete the organizational diagnosis and make a project improvement recommendation? Explain the importance of the given and additional needed information.
Chi-Square Test Calculator | ||||||
Observed Frequencies | ||||||
Call to Action Button | Calculations | |||||
Enjoy? | Male | Female | Total | fo-fe | ||
Yes | 136 | 224 | 360 | -36.8000 | 36.8000 | |
No | 104 | 36 | 140 | 36.8000 | -36.8000 | |
Total | 240 | 260 | 500 | |||
Expected Frequencies | ||||||
Call to Action Button | ||||||
Enjoy? | Male | Female | Total | (fo-fe)^2/fe | ||
Yes | 172.8000 | 187.2000 | 360 | 7.8370 | 7.2342 | |
No | 67.2000 | 72.8000 | 140 | 20.1524 | 18.6022 | |
Total | 240 | 260 | 500 | |||
Data | ||||||
Level of Significance | 0.01 | |||||
Number of Rows | 2 | |||||
Number of Columns | 2 | |||||
Degrees of Freedom | 1 | |||||
Results | ||||||
Critical Value | 6.6349 | |||||
Chi-Square Test Statistic | 53.8258 | |||||
p-Value | 0.00000000 | |||||
Reject the null hypothesis | ||||||
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started