Exam 13: Goodness-Of-Fit Tests and Contingency Analysis
Exam 1: The Where, why, and How of Data Collection167 Questions
Exam 2: Graphs,charts and Tablesdescribing Your Data138 Questions
Exam 3: Describing Data Using Numerical Measures130 Questions
Exam 4: Using Probability and Probability Distributions77 Questions
Exam 5: Discrete Probability Distributions119 Questions
Exam 6: Introduction to Continuous Probability Distributions90 Questions
Exam 7: Introduction to Sampling Distributions104 Questions
Exam 8: Estimating Single Population Parameters145 Questions
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Exam 10: Estimation and Hypothesis Testing for Two Population Parameters97 Questions
Exam 11: Hypothesis Tests and Estimation for Population Variances71 Questions
Exam 12: Analysis of Variance137 Questions
Exam 13: Goodness-Of-Fit Tests and Contingency Analysis104 Questions
Exam 14: Introduction to Linear Regression and Correlation Analysis136 Questions
Exam 15: Multiple Regression Analysis and Model Building153 Questions
Exam 16: Analyzing and Forecasting Time-Series Data133 Questions
Exam 17: Introduction to Nonparametric Statistics104 Questions
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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.
Based on these data,conduct a goodness-of-fit test using a 0.10 level of significance.Which conclusion is correct?

(Multiple Choice)
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When testing for independence in a contingency table with 3 rows and 4 columns,there are ________ degrees of freedom.
(Multiple Choice)
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If the test statistic for a chi-square goodness-of-fit test is larger than the critical value,the null hypothesis should be rejected.
(True/False)
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Unlike the case of goodness-of-fit testing,with contingency analysis there is no restriction on the minimum size for an expected cell frequency.
(True/False)
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The goodness of test is essentially determining if the test statistic is significantly larger than zero.
(True/False)
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A cell phone company wants to determine if the use of text messaging is independent of age.The follow data has been collected from a random sample of their customers.
Using the data above,in order to test for the independence of age and the use of text messaging,the expected value for the "under 21 and regularly use text messaging" cell is 82.

(True/False)
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Contingency analysis helps to make decisions when multiple proportions are involved.
(True/False)
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A study was recently conducted in which people were asked to indicate which news medium was their preferred choice for national news.The following data were observed:
Given this data,if we wish to test whether the preferred news source is independent of age,for an alpha = .05 level,the test statistic is computed to be approximately 40.70.

(True/False)
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To employ contingency analysis,we set up a 2-dimensional table called a contingency table.
(True/False)
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A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:
Given this information,if an alpha level of .05 is used,the test statistic for determining whether having a laptop is independent of gender is approximately 14.23.

(True/False)
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A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the sum of the expected frequencies over the six days cannot be determined without seeing the actual sample data.
(True/False)
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The degrees of freedom for the chi-square goodness-of-fit test are equal to ________,where k is the number of categories.
(Multiple Choice)
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We want to test whether type of car owned (domestic or foreign)is independent of gender.A contingence table is obtained from a sample of 990 people as
At alpha = 0.05 level,we conclude that

(Multiple Choice)
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A study was recently done in the United States in which car owners were asked to indicate whether their most recent car purchase was a U.S.car,a German car,or a Japanese car.The people in the survey were divided by geographic region in the United States.The following data were recorded.
Given this situation,to test whether the car origin is independent of the geographical location of the buyer,the expected number of people in the sample who bought a German made car and who lived on the East Coast is just under 40 people.

(True/False)
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Explain why,in performing a goodness-of-fit test,it is sometimes necessary to combine categories.
(Essay)
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In performing chi-square contingency analysis,to overcome a small expected cell frequency problem,we:
(Multiple Choice)
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A cell phone company 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.
Using this data,if we wish to test whether the preferred news source is independent of age using a 0.05 level of significance,the critical value is 5.9915.

(True/False)
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A business with 5 copy machines keeps track of how many copy machines need service on a given day.It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.It has collected the following based on a random sample of 100 days.
Given this information,assuming that all expected values are sufficiently large to use the classes as shown above,the critical value based on a 0.05 level of significance is 9.4877.

(True/False)
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In a goodness-of-fit test,when the null hypothesis is true,the expected value for the chi-square test statistic is zero.
(True/False)
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