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 5.

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: The squared difference between the observed and theoretical frequencies should be large if there is no significant difference between the proportions.

SCENARIO 12-7 . -Referring to Scenario 12-7, the expected cell frequency for the Hong Kong/Yes cell is __________.

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. -Referring to Scenario 12-11, the test will involve _________ degrees of freedom.

SCENARIO 12-8 -Referring to Scenario 12-8, 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 null hypothesis should be rejected.

SCENARIO 12-10 -Referring to Scenario 12-10, what is the expected number of employees with less than 1 year of Training time and a high defect rate?

SCENARIO 12-10 -Referring to Scenario 12-10, find the rejection region necessary for testing at the 0.05 level of Significance whether there is a relationship between defect rate and years of experience.

In testing a hypothesis using the test, the theoretical frequencies are based on the

True or False: Referring to Scenario 12-5, there is sufficient evidence to conclude that the proportions between procedure C and procedure D are different at a 0.05 level of significance.

Which of the following is a "robust" test procedure against the violation of distribution Assumptions?

When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom.

SCENARIO 12-13 Recent studies have found that American children are more obese than in the past.The amount of time children spent watching television has received much of the blame.A survey of 100 ten-year- olds revealed the following with regards to weights and average number of hours a day spent watching television.We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance. 12-30 Chi-Square and Nonparametric Tests -Referring to Scenario 12-13, the critical value of the test will be

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. -Referring to Scenario 12-2, the value of the test statistic is ________.

SCENARIO 12-7 . -True or False: Referring to Scenario 12-7, the null hypothesis will be rejected.

SCENARIO 12-16 -Referring to Scenario 12-16, the sporting goods retailer decided to perform a Kruskal-Wallis test even though the sample size in each of the 4 groups is not larger than 5.The null hypothesis of the test is ________.

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 decision made suggests that admissions status at the college is independent of the type of community in which an applicant resides.

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, how many children in the survey spent less than 2 hours watching TV and more than 2 hours reading story books on average?

SCENARIO 12-16 -Referring to Scenario 12-16, the calculation of the Kruskal-Wallis test statistic H involves ranking the observations.Construct a table containing these ranks.