Exam 12: Chi-Square and Nonparametric

True or False: The chi-square test of independence requires that the expected frequency in each cell to be at least 1.

SCENARIO 12-4 A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. -Referring to Scenario 12-4, which test would be used to properly analyze the data in this Experiment?

SCENARIO 12-2 The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day.He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors.In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05. -True or False: Referring to Scenario 12-2, the same decision would be made with this test if the level of significance had been 0.10 rather than 0.05.

SCENARIO 12-4 A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. -Referring to Scenario 12-4, the degrees of freedom of the test statistic is

Scenario 12-6 According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past.To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below. -Referring to Scenario 12-6, what is the expected number of shoppers who do not pay by check in year 3 if there is no difference in the proportion of shoppers who pay by check among the three years?

SCENARIO 12-9 Many companies use well-known celebrities as spokespersons in their TV advertisements.A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not the viewer could identify the product was recorded.The numbers in each category are given below. -Referring to Scenario 12-9, at 5% level of significance, the critical value of the test statistic is

SCENARIO 12-12 Parents complain that children read too few storybooks and watch too much television nowadays.A survey of 1,000 children reveals the following information on average time spent watching TV and average time spent reading storybooks -Referring to Scenario 12-12, if the null hypothesis of no connection between time spent Watching TV and time spent reading story books is true, how many children watching less than 2 Hours of TV and reading no more than 2 hours of story books on average can we expect?

SCENARIO 12-16 -Referring to Scenario 12-16, the alternative hypothesis of the Kruskal-Wallis test is that ________.

Scenario 12-6 According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past.To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below. -True or False: Referring to Scenario 12-6, there is sufficient evidence to conclude that the proportions between year 2 and year 3 are different at a 0.05 level of significance.

SCENARIO 12-9 Many companies use well-known celebrities as spokespersons in their TV advertisements.A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not the viewer could identify the product was recorded.The numbers in each category are given below. -Referring to Scenario 12-9, at 5% level of significance, the conclusion is that

Scenario 12-6 According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past.To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below. -Referring to Scenario 12-6, what is the expected number of shoppers who pay by check in year 1 if there is no difference in the proportion of shoppers who pay by check among the three years?

SCENARIO 12-7 . -True or False: Referring to Scenario 12-7, the decision made suggests that the 3 cities do not all have the same proportion of hotels that correctly post minibar charges.

SCENARIO 12-7 . -Referring to Scenario 12-7, the expected cell frequency for the Paris/No cell is __________.

SCENARIO 12-5 Four surgical procedures currently are used to install pacemakers.If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation.A heart center wants to compare the proportion of clear operations for the 4 procedures, and collects the following numbers of patients from their own records: They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05. -True or False: Referring to Scenario 12-5, the decision made suggests that the 4 procedures do not all have the same proportion of clear operations.

SCENARIO 12-11 The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission)at his college is independent of the type of community in which an applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01. -True or False: Referring to Scenario 12-11, the same decision would be made with this test if the level of significance had been 0.05.

A local real estate appraiser analyzed the sales prices of homes in 2 neighborhoods to the Corresponding appraised values of the homes.The goal of the analysis was to compare the Distribution of sale-to-appraised ratios from homes in the 2 neighborhoods.Random and Independent samples were selected from the 2 neighborhoods from last year's homes sales, 8 From each of the 2 neighborhoods.Identify the nonparametric method that would be used to Analyze the data.

SCENARIO 12-4 A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. -Referring to Scenario 12-4, the calculated value of the test statistic is

SCENARIO 12-9 Many companies use well-known celebrities as spokespersons in their TV advertisements.A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not the viewer could identify the product was recorded.The numbers in each category are given below. -Referring to Scenario 12-9, which test would be used to properly analyze the data in this Experiment?

SCENARIO 12-11 The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission)at his college is independent of the type of community in which an applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01. -True or False: Referring to Scenario 12-11, the alternative hypothesis claims that "there is some connection between admission status at the college and the type of community in which an applicant resides."

SCENARIO 12-3 She will use this information to perform a chi-square hypothesis test using a level of significance of -True or False: Referring to Scenario 12-3, the null hypothesis will be rejected.