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Aplia. Student Question > Chegg Study! Guided Solut × i courses.aplia.com/af/servlet/quiz takeQuiz&quiz-probGuid-QNAPC0A801010000003b8d75c0070000;&cto;:delil,mar | | Q Search e 4. Goodness of fit tests -Multinomial population Visitors to an e-commerce website arrive at the site in one of four ways: by direct access (the visitor types the site's URL into a browser or clicks on a bookmark); via a link on another website, e-mail message, or banner ad; from a paid listing generated by a search engine; or via an organic (unpaid) listing generated by a search engine. Engine Ready, an Internet marketing company, randomly selected 27 U.S. e-commerce companies from its 500 clients and studied a total of 18.7 million visits over a 2-year period. For each visit, data were collected on the traffic source and the size of the order placed by the visitor (in dollars). If no order was placed, the order size is 0.) The relative frequency and average order size for each traffic-source type are shown in the folowing table. Traffic Source Direct Access Link Paid Search Ad Search Result Relative Frequency 0.20 0.14 0.41 0.25 Average Order (Dollars) 5.69 5.01 1.91 1.35 [Source: Engine Ready, "Examining the Role Traffic Source Plays in Visitor Purchase Behavior," 2008.] Suppose that Paws-n-Claws, an online pet-products retailer, conducts a test of the hypothesis that its traffic-source proportions are the same as the traffic-source proportions for the 18.7 mn website visits in the Engine Ready study It selects a random sample of visits to its website and categorizes each visit according to the visit's traffic source. The resulting category counts are shown in the following table. Traffic Source Observed Frequency Direct Access 50 Session Timeout Link 35 58:34 6:20 PM 11/13/2017

Explanation / Answer

Here the chi - square table

Where Expected value is calculated by = Pr(That MEthod) * 200

Here X2 = sum of (Oi -Ei )2/Eii = 6.450

so Here dF = 4-1 = 3 and alpha = 0.01

X2critical = X2 3,0.01 = 11.3448

Rejection rule is X2 > X2critical

so here X2critical > X2 so we shall not reject the null hypothesis and can conclude that there average amount spent during a vistit to paws and claws wersite is same as during the visits covered by the Engine ready study.

Traffic Source relative frequency Expected (E) Observed(o) (O-E)^2/E Direct Access 0.2 40 50 2.5 Link 0.14 28 35 1.75 Paid search 0.41 82 72 1.220 Searchresult 0.25 50 43 0.98 Sum 1 200 200 6.450

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