For each of the following situations, state whether you would use a chi-square g

Question

For each of the following situations, state whether you would use a chi-square goodness-of-fit test, a chi-square test of independence, or some other statistical test. Complete parts a) through c) below. a) Is the equality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims field over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below A. Chi-square test of independence. You have data on two variables day and quality, for one manufacturer. B. Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day C. Chi-square test of homogeneity. You have two samples and one variable, day. You want to see if the distribution of quality is the same in the two years D. Some other statistical test. The variable day is quantitative, not counts b) A researcher or the American Booksellers Association wants to know if retail sales ft^2 is related to serving coffee or snacks of the premises. She examines a database of 10,000 independently owned of bookstores testing whether retail sales (dollars/ft^2) is related to whether or not the score has a coffee bar. Choose the correct answer below. A. Chi square test of independence. You have data on two variables, retail sales/ft^2) and whether or not the store has a coffee bar, for one database of bookstores. B. Chi square test c homogeneity. You have two samples and one variable, whether or not the store has a coffee bar. You want to see if the distribution of retail sales/mt^2 is the same amongst independently owned bookstores c. chi-square goodness-of-fit test. You want to see if the distribution of retail sales/ft^2 is uniform over the variable of whether or not the store has a coffee bar. D. Some other statistical test. The variable retail ft^2 is quantitative, not counts c) A researcher wants to find out whether education level (some high school, high school graduate, college graduate, advanced degree) is related to the type of transaction most likely to be conducted using the Internet (shopping, banking, travel reservations, auctions). He surveys 500 randomly chosen adults and performs a test. Choose the correct answer below A. Chi-square test of independence. You have data on to variables, education level and online transaction, for one group of adults. B. Chi-square test of homogeneity. You have two samples and one variables, education level. You want to see if the distribution of education level is the same amongst the random chosen adults C. Chi-square goodness-of-fit test. You want to see if the distribution of education level is uniform over the variable of whether or not an online transaction was involved. D. Some other statistical test. The variable of whether or not an online transaction inched quantitative, not counts.

Explanation / Answer

(a) (B) is the correct option, we want to see if the distribution of defects are randomly distributed over the variable dayof the week.

(b) (A) is the correct option, data on 2 variables , real sales/ sqft and presence of coffee bar. We test for independence between these 2 variables.

(c) (A) test of independence, we have 2 variables education level and type of transaction over internet for the sample of 500 adults.

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