Exam 12: Chi-Square and Nonparametric

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. -

SCENARIO 12-7 . -True or False: Referring to Scenario 12-7, the decision made suggests that the 3 cities all have different proportions of hotels that correctly post minibar charges.

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 null hypothesis claims that "there is no association between admission status at the college and the type of community in which an applicant resides."

SCENARIO 12-10 -Referring to Scenario 12-10, what is the expected number of employees with 1 to 4 years of Training time and a high defect rate?

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 no more than 2 hours reading storybooks on average?

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, suppose the value of the test statistic was 30.00 (which is not the Correct value)and the critical value at 1% level of significance was 10.00 (which is not the Correct value), which of the following conclusions would be correct?

True or False: The procedure for the Wilcoxon rank sum test requires that you rank each group separately rather than together.

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, we want to test whether there is any relationship between average Time spent watching TV and average time spent reading storybooks.Suppose the value of the Test statistic was 164 (which is not the correct answer)and the critical value was 19.00 (which is Not the correct answer), then we could conclude that

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 decision made suggests that there is a difference between the proportion of males and females who ride local versus non-local routes.

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 -True or False: Referring to Scenario 12-13, the test is always a one-tail test.

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. -

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 degrees of freedom of the test statistic are

SCENARIO 12-10 -Referring to Scenario 12-10, which test would be used to properly analyze the data in this Experiment to determine whether there is a relationship between defect rate and years of Experience?

SCENARIO 12-1 -

To use the Wilcoxon Rank Sum Test as a test for location, you must assume that

SCENARIO 12-14 A perfume manufacturer is trying to choose between 2 magazine advertising layouts.An expensive layout would include a small package of the perfume.A cheaper layout would include a "scratch- and-sniff" sample of the product.The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate.The manufacturer presents the more expensive layout to 4 groups and determines the approval rating for each group.He presents the "scratch-and-sniff" layout to 5 groups and again determines the approval rating of the perfume for each group.The data are given below.Use this to test the appropriate hypotheses with the Wilcoxon Rank Sum Test with a level of significance of 0.05. -Referring to Scenario 12-14, the rank given to the last observation in the "scratch-and-sniff" group is ________.

SCENARIO 12-16 -Referring to Scenario 12-16, the decision rule for a level of significance of 0.05 using the Kruskal-Wallis test is to reject the null hypothesis if the test statistic H is ________ assuming that the sample sizes were large enough to use a chi-square approximation.

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, if there is no connection between weights and average number of Hours spent watching TV, we should expect how many children to be spending 3-6 hours on Average watching TV and are more than 10 lbs.underweight?

If we wish to determine whether there is evidence that the proportion of items of interest is the Same in group 1 as in group 2, the appropriate test to use is

SCENARIO 12-8 -Referring to Scenario 12-8, at 5% level of significance, the critical value of the test statistic is