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 homogeneity, a chi-square test of independence, or some other statistical test. Complete parts a) through c) below. Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below. Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day. Chi-square test of independence. You have data on two variables, day and quality, for one manufacturer. 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 Some other statistical test. The variable day is quantitative, not counts. A researcher for the American Booksellers Association wants to know if retail sales/ft^2 is related to serving coffee or snacks on the premises. She examines a database of 10.000 independently owned bookstores testing whether retail sales (dollars/ft^2) is related to whether or not the store has a coffee bar choose the correct answer below. Chi-square test of 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/ft^2?is the same amongst independently owned bookstores. 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. 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. Some other statistical test. The variable retail/ft^2 is quantitative, not counts 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 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 intermit (shopping, banking, travel reservations, auctions) He survey 500 randomly chosen adults and performs a test. Choose the correct answer below. Chi-square goodness - of-fit test, you want to see in the distribution of education level is uniform over the variable of whether or not an online transaction was involved. Chi- squares test of independence. You have data on two variables, education level and online transaction, for one group of adults. chi-square test of homogeneity. You have two samples and one variable, education level, you want to see if the distribution of education level is the same amongst the randomly chosen adults. Some other statistical test. The variable of whether or not an online transaction involved is quantitative, not counts.

Explanation / Answer

a.

Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week.

Option A. Chi squared Good ness of fit is correct.

b.

Option C. Chi-squared independence (one sample – 2 variables) is correct.

c.

Option C. Chi squared – homogeneity is correct.

Hope this will be helpful. Thanks and God Bless You :-)

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