Question

In: Statistics and Probability

Sixty college students were asked where they shop online to determine on which websites the college...

Sixty college students were asked where they shop online to determine on which websites the college should place advertisements. The data from the random sample of students is represented below. They compared Etsy, Amazon, and Ebay. Test at the .05 level of significance.

What are your null and alternative hypotheses?

What is the critical value?

Amazon Etsy Ebay
12 36 12

What is your decision?

Reject the Null

Fail to Reject the Null

What is your interpretation of the following (ie. conclusion)?

Solutions

Expert Solution

Ho: There is no significant difference in three websites to place adverrisements

Ha: There is a significant difference in three websites to place adverrisements

observed frequencey, O expected proportion expected frequency,E (O-E) (O-E)²/E
12 0.333 20.00 -8.00 3.200
36 0.333 20.00 16.00 12.800
12 0.333 20.00 -8.00 3.200

chi square test statistic,X² = Σ(O-E)²/E =   19.200              
                  
level of significance, α=   0.05              
Degree of freedom=k-1=   3   -   1   =   2
                  
P value =   0.0001   [ excel function: =chisq.dist.rt(test-stat,df) ]          
Decision: P value < α, Reject Ho                  

decision: reject the null

conclusion: There is enough evidence to conlcude that there is a significant difference in three websites to place adverrisements


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