Question
Can someone fill in the blanks
Attempts Keep the Highest: /6 2. The chi-square goodness-of-fit test- Proportions match those of a known population?Aa Aa 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. The relative frequency for each traffic-source type are shown in the following table. [Source: Engine Ready, "Examining the Role Traffic Source Plays in Visitor Purchase Behavior," 2008.1 Traffic Source Direct Access Link Paid Search Ad Search Result Relative Frequency 0.20 0.14 0.41 0:25 Suppose that SparkleMotion, an online jewelry retailer, conducts a test of the hypothesis that its traffic-source proportions are different than the traffic-source proportions for the 18.7 million 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 e here to search
Explanation / Answer
H0: p1 = 0.2, p2 = 0.14, p3=0.41 and p4=0.25
chi-square = 8.35
p-value = 0.0393
Null hypothesis is rejected
Traffic Source Relative Freq Expected Count Observed Count (Oi-Ei)^2/Ei Direct Access 0.2 40 31 2.03 Link 0.14 28 18 3.57 Paid Search Ad 0.41 82 93 1.48 Search Result 0.25 50 58 1.28 8.35