In: Statistics and Probability
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)?
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