Goodness of Fit •A marketer is planning to introduce a new product to the market but she is not sure about the color of the package the product should be sold in. To know if consumers have a preference in terms of color of packaging she conducts a pilot experiment using an alpha level of .05. The number of products sold for each color is provided in the chart below:ColorBlueGreenRedYellow# Sold30203515
Goodness of Fit • H 0 : the population proportions are equal • H a : the population proportions are not equal Color Blue Green Red Yellow # Expected # Sold 25 30 25 20 25 35 25 15
Test of Independence • We want to know if the column variable is independent of the row variable. – H 0 : the column variable is independent of the row variable – H a : the column variable is not independent of the row variable • How does it work? – Select a random sample and record the observed frequencies for each cell – Compute the expected frequency for each cell – Compute the test statistic using the difference between the expected frequency and observed frequency in each category
Test of Independence • 𝑒 ??
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- Fall '17
- AMHET KOKSUEL