Exam 16: Inference for Counts: Chi-Square Tests

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Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected. Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.   -At α = 0.05 -At α = 0.05

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D

Consider the following to answer the question(s) below: A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days. Consider the following to answer the question(s) below: A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days.    -At α = 0.05 -At α = 0.05

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A

By examining residuals, determine which type of property had the most impact on the test results? What are the implications for the real estate agency?

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The χ2 component for condominiums is the largest (33.232). More people bought condominiums than would have been expected based on the historical distribution. The real estate agency should try and list as many condominiums as possible.

Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected. Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.   -What Chi-Square test is appropriate in this situation? -What Chi-Square test is appropriate in this situation?

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Consider the following to answer the question(s) below: We want to test whether type of car owned (domestic or foreign) is independent of gender. The following are the results of a random sample of 990 car owners. Consider the following to answer the question(s) below: We want to test whether type of car owned (domestic or foreign) is independent of gender. The following are the results of a random sample of 990 car owners.    -The value of the test statistic is -The value of the test statistic is

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A real estate agency, located in a metropolitan area in Canada., kept data on the various types of properties purchased in the area. Historically, 15% of purchases were for condominiums, 30% were for townhouses, 40% for single family homes, 10% for commercial properties, and 5% for land. With changing demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the following: A real estate agency, located in a metropolitan area in Canada., kept data on the various types of properties purchased in the area. Historically, 15% of purchases were for condominiums, 30% were for townhouses, 40% for single family homes, 10% for commercial properties, and 5% for land. With changing demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the following:    a. State appropriate hypotheses to test whether the purchasing agent is correct. b. What is the value of the test statistic and its associated P-value? c. State the conclusion at α = 0.05. a. State appropriate hypotheses to test whether the purchasing agent is correct. b. What is the value of the test statistic and its associated P-value? c. State the conclusion at α = 0.05.

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Consider the following to answer the question(s) below: A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days. Consider the following to answer the question(s) below: A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days.    -What is the value of the test statistic? -What is the value of the test statistic?

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Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected. Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.   -The correct value of the test statistic is -The correct value of the test statistic is

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Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table. Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.    -The correct null hypothesis to test if the purchasing agent is correct can be worded as -The correct null hypothesis to test if the purchasing agent is correct can be worded as

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Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table. Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.    -The degrees of freedom associated with the test statistic are -The degrees of freedom associated with the test statistic are

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Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table. Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.    -At α = 0.05 -At α = 0.05

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Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers. Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers.    -The value of the test statistic is -The value of the test statistic is

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Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers. Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers.    -At α = 0.05 -At α = 0.05

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Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers. Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers.    -Based on the data above what is the expected frequency for the under 21 and regularly use text messaging cell? -Based on the data above what is the expected frequency for the "under 21 and regularly use text messaging" cell?

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By examining residuals, determine which type of drink had the most impact on the test results? What are the implications for the purchasing agent?

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Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table. Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.    -The correct value of the test statistic is -The correct value of the test statistic is

(Multiple Choice)
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Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected. Consider the following to answer the question(s) below: An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.   -The degrees of freedom associated with the test statistic are -The degrees of freedom associated with the test statistic are

(Multiple Choice)
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Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers. Consider the following to answer the question(s) below: A local cell phone provider wants to determine if the use of text messaging is independent of age. The following data has been collected from a random sample of customers.    -To conduct the independence test the correct degrees of freedom are -To conduct the independence test the correct degrees of freedom are

(Multiple Choice)
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Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table. Consider the following to answer the question(s) below: Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.    -What is the value of the mode in this case? -What is the value of the mode in this case?

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A manufacturing plant for recreational vehicles receives shipments from three different parts vendors. There has been a defect issue with some of the electrical wiring in the recreational vehicles manufactured at the plant. The plant manager believes that the defect issue is dependent on the parts vendor. The plant manager reviews a sample of quality assurance inspections from the last six months. A manufacturing plant for recreational vehicles receives shipments from three different parts vendors. There has been a defect issue with some of the electrical wiring in the recreational vehicles manufactured at the plant. The plant manager believes that the defect issue is dependent on the parts vendor. The plant manager reviews a sample of quality assurance inspections from the last six months.    a. State appropriate hypotheses to test the plant manager's belief. b. What is the value of the test statistic and its associated P-value? c. State the conclusion at α = 0.05. a. State appropriate hypotheses to test the plant manager's belief. b. What is the value of the test statistic and its associated P-value? c. State the conclusion at α = 0.05.

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