A reporter intends to survey residents of a city to investigate whether there are differences in use of grocery delivery services by region of the city where the residents live (north, south, west, and east). City residents will be asked to respond yes or no to the question “Do you regularly use a grocery delivery service to purchase groceries?” Results will be collected in a 4-by-2 table of counts organized by region and response to the question. For a chi-square test for homogeneity, which of the conditions listed below is not necessary to investigate whether there are differences between use of grocery delivery service by region? A) For each cell in the table, (row total)(column total)/table total will be greater than 5. B) Data should be collected using a stratified random sample, with region as strata. C) All eight expected cell counts should be greater than 5. D) The number of residents sampled from each region should be greater than 30. E) The total number of residents sampled should be at most 10 percent of the total number of residents in the city.
A reporter intends to survey residents of a city to investigate whether there are differences in use of grocery delivery services by region of the city where the residents live (north, south, west, and east). City residents will be asked to respond yes or no to the question “Do you regularly use a grocery delivery service to purchase groceries?” Results will be collected in a 4-by-2 table of counts organized by region and response to the question. For a chi-square test for homogeneity, which of the conditions listed below is not necessary to investigate whether there are differences between use of grocery delivery service by region?
A) For each cell in the table, (row total)(column total)/table total will be greater than 5.
B) Data should be collected using a stratified random sample, with region as strata.
C) All eight expected cell counts should be greater than 5.
D) The number of residents sampled from each region should be greater than 30.
E) The total number of residents sampled should be at most 10 percent of the total number of residents in the city.
Answer
Answer: D) The number of residents sampled from each region should be greater than 30.
Explanation: While each expected cell count should be greater than 5 and the sampling method should be appropriate, the number of residents sampled from each region being greater than 30 is not a specific requirement for a chi-square test for homogeneity.
Sourav
